The pair density wave(PDW)is an exotic pairing state hosting a spatially modulated pairing order parameter,which has attracted great interest.Due to its simultaneously breaking U(1)-gauge and translational symmetries,...The pair density wave(PDW)is an exotic pairing state hosting a spatially modulated pairing order parameter,which has attracted great interest.Due to its simultaneously breaking U(1)-gauge and translational symmetries,intriguing vestigial phases which restore only one broken symmetry can emerge at an intermediate temperature regime.Previously,investigations on the vestigial phases of PDW were mainly focused on incommensurate PDW.However,the experimentally observed PDW is usually commensurate,whose vestigial phases have not been systematically investigated.Here we study the vestigial phases of 2D commensurate PDW with n-times(n≥3)expanded unit vectors,hosting different numbers of wave vectors.Based on the GinzburgśLandau theory,we get the low energy effective model Hamiltonian from typical PDW ground state configurations.Subsequent renormalization group(RG)and Monte-Carlo(MC)studies are conducted to obtain the phase diagram and spatial dependent correlation functions.Our RG and MC calculations consistently yield the following result.For nt≤4(t=1 for odd n and t=1/2 for even n),besides the charge-4e/2e superconductivity,there exists the translational symmetry broken charge-density-wave(CDW)vetigial phase.Intriguingly,for nt≥5(specifically,for odd n,n≥5,and for even n,n≥10),the restoration of the translational symmetry with increasing temperature is realized through two successive Berezinskiis Kosterlitzs Thouless transitions.Such a two-step process leads to two critical vestigial phases,i.e.,the critical-PDW and the critical-CDW phases,in which the discrete translational symmetry is quasily broken,leading to a power-law decaying densityśdensity correlation even at 2D.Our work appeals for experimental verifications.展开更多
Prima facie,the pursuit of national interest stands in contradiction with the rules of global justice.Indeed,the former relies upon selfishness and the maximization of national utility,while the latter presupposes dis...Prima facie,the pursuit of national interest stands in contradiction with the rules of global justice.Indeed,the former relies upon selfishness and the maximization of national utility,while the latter presupposes distributive measures at the global level that exercise some constrain on state behavior.However,these two notions are open to interpretation and,sometimes,even lack clarity.This paper will look for clarification and will ask whether it is possible to go beyond the radical difference between those two logics.I will start by underlining the reasons why the national interest and global justice are in contradiction with each other.Although they are not commensurable,the paper will then argue the two can be compatible in specific equilibriums of international politics,I will refer to as the“rationalist”and the“revolutionist”modes.Finally,the paper will discuss whether,in the best of all possible worlds,we should strive for this compatibility.展开更多
Generation and propagation of ultrasonic waves in single layer Graphene Nanoribbon is studied using semi-classical approach. When piezoelectric Graphene Nanoribbon (GNR) is exposed to time varying light beam, ultrason...Generation and propagation of ultrasonic waves in single layer Graphene Nanoribbon is studied using semi-classical approach. When piezoelectric Graphene Nanoribbon (GNR) is exposed to time varying light beam, ultrasonic waves are produced which propagate in the medium. At low frequencies, we observed oscillations of the ultrasonic observables, velocity change and attenuation which are characteristics of massless Dirac fermions in graphene. Exploiting this oscillatory behavior, we estimate graphene’s electronic mobility to be around . Propagating ultrasonic waves can be amplified, depending on the electric field amplitude. Specifically, amplification occurs when drift velocity exceeds sound velocity. This scheme can be employed for efficient ultrasonic amplifier device operation.展开更多
The Ms ≥ 8.0 strong earthquakes occurring in Chile since 1800 were analyzed using the ternary, quaternary, and quinary commensurability methods and the butterfly structure diagram, and it was believed that the earthq...The Ms ≥ 8.0 strong earthquakes occurring in Chile since 1800 were analyzed using the ternary, quaternary, and quinary commensurability methods and the butterfly structure diagram, and it was believed that the earthquake signal in Chile in 2014 is relatively strong, a large earthquake is likely to occur in Chile in 2014. An analysis of spatial epicenter migrations showed that the longitudinal and latitudinal epicenter migra- tions have symmetry and synchronism, and there were five obvious northward migrations and four southward migrations. The symmetry axis of the longitudinal migrations is at about 71.7°W and that of the latitudinal mi- grations is at about 30°S; these spatial symmetry axes are located at the subduction zone on the western margin of South America, where two major plates (the Nazca Plate and the South American Plate) converge.展开更多
Noncovalent interfaces play a vital role in inelastic deformation and toughening mechanisms in layered nanocomposites due to their dynamical recoverability. When interfacial engineering is applied to design layered na...Noncovalent interfaces play a vital role in inelastic deformation and toughening mechanisms in layered nanocomposites due to their dynamical recoverability. When interfacial engineering is applied to design layered nanocomposites, shear-lag analysis is usually implemented to evaluate the capability of interfacial loading transfer. Here, we introduce a multiscale shear-lag model that correlates macroscale mechanical properties with the molecular mechanisms to quantify the effects of interfacial configuration in graphene oxide(GO) layered nanocomposites. By investigating the mechanical responses of commensurate and incommensurate interfaces, we identify that the commensurate interface exhibits a pronounced size effect due to the nucleation and propagation of interfacial defects, whereas the incommensurate interface displays uniform deformation. Our predictions are further validated through large-scale molecular dynamics simulations for GO layered nanocomposites. This work demonstrates how size effects and interfacial configurations can be exploited to fabricate layered nanocomposites with superior mechanical properties despite relying on weak noncovalent interfaces.展开更多
A Routh table test for stability of commensurate fractional degree polynomials and their commensurate fractional order systems is presented via an auxiliary integer degree polynomial. The presented Routh test is a cla...A Routh table test for stability of commensurate fractional degree polynomials and their commensurate fractional order systems is presented via an auxiliary integer degree polynomial. The presented Routh test is a classical Routh table test on the auxiliary integer degree polynomial derived from and for the commensurate fractional degree polynomial. The theoretical proof of this proposed approach is provided by utilizing Argument principle and Cauchy index. Illustrative examples show efficiency of the presented approach for stability test of commensurate fractional degree polynomials and commensurate fractional order systems. So far, only one Routh-type test approach [1] is available for the commensurate fractional degree polynomials in the literature. Thus, this classical Routh-type test approach and the one in [1] both can be applied to stability analysis and design for the fractional order systems, while the one presented in this paper is easy for peoples, who are familiar with the classical Routh table test, to use.展开更多
Based on the complete seismic data of the Tianshan area in the past 118 years,the co-occurrence rate of earthquakes in different fault zones is calculated,the fault zone with the highest associative degree in the Tian...Based on the complete seismic data of the Tianshan area in the past 118 years,the co-occurrence rate of earthquakes in different fault zones is calculated,the fault zone with the highest associative degree in the Tianshan area is determined as the research object,extracted the earthquake time series information of the strong associative fault zone and the commensurability method is used to obtain the commensurability expression,the year of strongest earthquake signal is calculated and predicted,then the butterfly structure diagram and commensurability structure system are drawn.Combined the butterfly structure diagram and commensurability structure system to analyze the seismic spatiotemporal structure characteristics of the Tianshan area,judge the trend of future earthquakes,and predict the time of future earthquakes.The results demonstrate that Ms≥5.6 earthquake signals are strong in 2020 and 2021.In order to determine the location of future earthquakes,the historical epicenter migration law of the strongly correlated fault zone in the Tianshan area is analyzed.It is revealed that the epicenter distribution is symmetric in both the longitude and latitude directions.Analyzing the spatial distribution of epicenters,the five successive earthquakes in the strong associative fault zone in the Tianshan area present a pentagonal symmetrical structure in space.It is judged that the next earthquake will migrate toward the northeast.Additionally,the sunspot has a strong seismic correlation with the strong associative fault zone in the Tianshan area.Specifi cally,on the 11-year cycle scale of sunspot activity,64.71% of earthquakes occurred in the fluctuation descending range;on the monthly scale of sunspot activity.Hence,it has been verified that the proposed disaster prediction method based on commensurability theory is scientifi c and has a broad application prospect.展开更多
The method of commensurability was used by the authors to predict the great earthquake of magnitude 7.5 that occurred on March 31,2002 in Taiwan 70km away from Hualian. Analyzing the earthquakes of magnitude≥7.0 whic...The method of commensurability was used by the authors to predict the great earthquake of magnitude 7.5 that occurred on March 31,2002 in Taiwan 70km away from Hualian. Analyzing the earthquakes of magnitude≥7.0 which occurred in the Hualian area of Taiwan within the 20th century, the authors discovered that the occurrences of the earthquakes are commensurable. The earthquakes of magnitude 7.6 which occurred in Hualian of Taiwan, on September 20th, 1999 and of magnitude 7.5 which occurred 70 km away from Hualian, on March 31th, 2002 appeared at the commensurable point of K=2 and the period times the golden section, respectively. An extended discussion is carried out on the method of commensurability and its implied physical significance, especially on the contribution of the commensurable periodic extension made by Prof. Weng Wenbo.展开更多
Strained SiGe alloys are successfully grown on Si(100) substrate in gas source molecular beam epitaxy system using disilane (Si 2H 6) and germane (GeH 4). The surface reconstructions are monitored by in situ reflectio...Strained SiGe alloys are successfully grown on Si(100) substrate in gas source molecular beam epitaxy system using disilane (Si 2H 6) and germane (GeH 4). The surface reconstructions are monitored by in situ reflection high energy electron diffraction during epitaxy. At a fixed substrate temperature, the Ge composition in the alloys increase with GeH 4/(GeH 4+2Si 2H 6) gas flow rate ratio. Surface morphologies of the grown samples show a strong dependence on the Ge composition, substrate temperature and SiGe epilayer thickness. Results indicate that high substrate temperature and large Ge composition are favorable for the growth mode transition from two dimensional to three dimensional growth.展开更多
An efficient identification algorithm is given for commensurate order linear time-invariant fractional systems. This algorithm can identify not only model coefficients of the system, but also its differential order at...An efficient identification algorithm is given for commensurate order linear time-invariant fractional systems. This algorithm can identify not only model coefficients of the system, but also its differential order at the same time. The basic idea is to change the system matrix into a diagonal one through basis transformation. This makes it possible to turn the system’s input-output relationships into the summation of several simple subsystems, and after the identification of these subsystems, the whole identification system is obtained which is algebraically equivalent to the former system. Finally an identification example verifies the effectiveness of the method previously mentioned.展开更多
As to the contents of Confucian discourse of human rights there are four topics which are being or not-being,history,relationship and constructivism on Confucian-human right.According to the different criteria of bein...As to the contents of Confucian discourse of human rights there are four topics which are being or not-being,history,relationship and constructivism on Confucian-human right.According to the different criteria of being or not being on Confucian-human right there are three points:not being in ancient times,being in ancient times,not being originally and being later.There are three points too on relationship of Confucian-human right:exclusion,integration and conversion.what is sometimes overlooked on the history of Confucian-human right is eastern studies introduced to the west.The traditional Chinese thoughts had an important effect on western human right idea and normative text.Du Gangjian,a well-known expert on Chaoshan new Confucianism in construction of Confucian-human right,constructs a theory system of Confucian human rights by Confucius’ideas.Taken together,Confucian discourse of human rights is at the cross-section when China mingled with the western countries and the modern replaced the ancient.The commensurability of human rights is just made at this point.展开更多
The dynamic analysis of financial systems is a developing field that combines mathematics and economics to understand and explain fluctuations in financial markets.This paper introduces a new three-dimensional(3D)frac...The dynamic analysis of financial systems is a developing field that combines mathematics and economics to understand and explain fluctuations in financial markets.This paper introduces a new three-dimensional(3D)fractional financial map and we dissect its nonlinear dynamics system under commensurate and incommensurate orders.As such,we evaluate when the equilibrium points are stable or unstable at various fractional orders.We use many numerical methods,phase plots in 2D and 3D projections,bifurcation diagrams and the maximum Lyapunov exponent.These techniques reveal that financial maps exhibit chaotic attractor behavior.This study is grounded on the Caputo-like discrete operator,which is specifically influenced by the variance of the commensurate and incommensurate orders.Furthermore,we confirm the presence and measure the complexity of chaos in financial maps by the 0-1 test and the approximate entropy algorithm.Additionally,we offer nonlinear-type controllers to stabilize the fractional financial map.The numerical results of this study are obtained using MATLAB.展开更多
Dynamical mode locking phenomena in incommensurate structures of the dc- and ac-driven overdamped FrenkelKontorova model are studied by molecular-dynamics simulations.It is found that the Shapiro steps exhibit signifi...Dynamical mode locking phenomena in incommensurate structures of the dc- and ac-driven overdamped FrenkelKontorova model are studied by molecular-dynamics simulations.It is found that the Shapiro steps exhibit significantly different amplitude and frequency dependences from the ones observed in the commensurate structures.The step widths still oscillate with the amplitude,but the form is no longer Bessel-like,i.e.,the anomaly appears in our simulations.The same type of anomalies is also exhibited by the critical depinning force.The oscillatory behavior and the anomalies are also revealed in the ((F),Fac) phase diagram where three phases are observed.These oscillations are directly correlated with the existence and the stability of interference phenomena in real systems.展开更多
Commensurate and incommensurate Haldane phases for a spin-1 bilinear-biquadratic model are investigated using an infinite matrix product state algorithm.The bipartite entanglement entropy can detect a transition point...Commensurate and incommensurate Haldane phases for a spin-1 bilinear-biquadratic model are investigated using an infinite matrix product state algorithm.The bipartite entanglement entropy can detect a transition point between the two phases.In both phases,the entanglement spectrum shows double degeneracy.We calculate the nonlocal order parameter of the bond-centered inversion in both phases,which rapidly approaches a saturation value of-1 as the segment length increases.The nonlocal order parameter of the bond-centered inversion with a saturation value-1 and the nonzero value string order indicate that the Haldane phase is a symmetry-protected topological phase.To distinguish the commensurate and incommensurate Haldane phases,the transversal spin correlation and corresponding momentum distribution of the structure factor are analyzed.As a result,the transversal spin correlations exhibit different decay forms in both phases.展开更多
This article introduces application of the expanding commensurability in earthquake prediction. The results show that most of the world’s major earthquake occurred at their commensurable points of time axis. An EQ 7....This article introduces application of the expanding commensurability in earthquake prediction. The results show that most of the world’s major earthquake occurred at their commensurable points of time axis. An EQ 7.0 occurred in Lushan of China on 2013-04-20 and an EQ 8.2 occurred in Iquique of northern Chile on 2014-04-01 all occurred at their commensurable points of time axis. This once again proves that the commensurability provides an important scientific basis for the prediction of major earthquakes, which will occur in the area in future.展开更多
Based on the floods landslides commensurability system, the paper presents and discusses the disasters/hazards with comprehensive interaction and erosional processes. However, people are not enough to get their possib...Based on the floods landslides commensurability system, the paper presents and discusses the disasters/hazards with comprehensive interaction and erosional processes. However, people are not enough to get their possibility for the sustainability. They have had so many disasters to meet and to control continuously. Finally, the fundamentals should be built up with nonlinear solutions of landsliding problems; the events of geomagnetism anomaly should be considered.展开更多
The U.S. Geological Survey has estimated a 99% chance of a magnitude 6.7 earthquake in California in the next 30 years from 2008. In this paper, Fourier transform, mode analysis and commensurability analysis are used ...The U.S. Geological Survey has estimated a 99% chance of a magnitude 6.7 earthquake in California in the next 30 years from 2008. In this paper, Fourier transform, mode analysis and commensurability analysis are used to study the earthquake cycle in California and predict the future strong earthquake. The analysis shows that the strong earthquake in California is most likely to occur in 2019, and the prediction was sent to the relevant institutions of United States in 2018. In July 2019 an M7.1 earthquake occurred in California, which proved our prediction to be correct.展开更多
Measurements by using the ultrasonic technique together for electric resistance verified that the first sound velocity valley on cooling is mainly due to the soft-mode of driving the com- mensurate phase transition,an...Measurements by using the ultrasonic technique together for electric resistance verified that the first sound velocity valley on cooling is mainly due to the soft-mode of driving the com- mensurate phase transition,and the second one due to the soft-mode of driving the martensitic transformation.The starting point,R_s,and finishing point,R_f,of the commensurate phase transition of the alloy have been determined.展开更多
A History of Chinese and Foreign Literary Theories (2012) edited by Professor CAO Shun-qing is the first monograph of literary theory history that crosses the Eastern and Western cultural circles and integrates the ...A History of Chinese and Foreign Literary Theories (2012) edited by Professor CAO Shun-qing is the first monograph of literary theory history that crosses the Eastern and Western cultural circles and integrates the world's literary theories into one from the perspective of General Literature. It is the only historical work that widely covers Chinese literary theories. It shows a general development of Chinese and foreign literary theories to readers from the perspective of General Literature. It presents the different characteristics of literary theories of different countries and their unique contributions to the world literary theories. It is featured by comparisons between ancient and today's literary theories, between Chinese and foreign literary theories, and between literary theories of different cultures. This book shows a general development of Chinese and foreign literary theories to readers from the perspective of General Literature. It presents the different characteristics of literary theories of different countries and their unique contributions to the world literary theories. It discloses the basic rules of literary theories of various nations in the world and contributes to setting up the "General Literary Theory".展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.12574141,12234016,and 12074031)supported by the Scientific Research Program from Science and Technology Bureau of Chongqing City(Grant No.CSTB2025NSCQ-GPX1303)supported by the postdoctoral innovation talent support program(Grant No.A5B10039)。
摘要The pair density wave(PDW)is an exotic pairing state hosting a spatially modulated pairing order parameter,which has attracted great interest.Due to its simultaneously breaking U(1)-gauge and translational symmetries,intriguing vestigial phases which restore only one broken symmetry can emerge at an intermediate temperature regime.Previously,investigations on the vestigial phases of PDW were mainly focused on incommensurate PDW.However,the experimentally observed PDW is usually commensurate,whose vestigial phases have not been systematically investigated.Here we study the vestigial phases of 2D commensurate PDW with n-times(n≥3)expanded unit vectors,hosting different numbers of wave vectors.Based on the GinzburgśLandau theory,we get the low energy effective model Hamiltonian from typical PDW ground state configurations.Subsequent renormalization group(RG)and Monte-Carlo(MC)studies are conducted to obtain the phase diagram and spatial dependent correlation functions.Our RG and MC calculations consistently yield the following result.For nt≤4(t=1 for odd n and t=1/2 for even n),besides the charge-4e/2e superconductivity,there exists the translational symmetry broken charge-density-wave(CDW)vetigial phase.Intriguingly,for nt≥5(specifically,for odd n,n≥5,and for even n,n≥10),the restoration of the translational symmetry with increasing temperature is realized through two successive Berezinskiis Kosterlitzs Thouless transitions.Such a two-step process leads to two critical vestigial phases,i.e.,the critical-PDW and the critical-CDW phases,in which the discrete translational symmetry is quasily broken,leading to a power-law decaying densityśdensity correlation even at 2D.Our work appeals for experimental verifications.
摘要Prima facie,the pursuit of national interest stands in contradiction with the rules of global justice.Indeed,the former relies upon selfishness and the maximization of national utility,while the latter presupposes distributive measures at the global level that exercise some constrain on state behavior.However,these two notions are open to interpretation and,sometimes,even lack clarity.This paper will look for clarification and will ask whether it is possible to go beyond the radical difference between those two logics.I will start by underlining the reasons why the national interest and global justice are in contradiction with each other.Although they are not commensurable,the paper will then argue the two can be compatible in specific equilibriums of international politics,I will refer to as the“rationalist”and the“revolutionist”modes.Finally,the paper will discuss whether,in the best of all possible worlds,we should strive for this compatibility.
摘要Generation and propagation of ultrasonic waves in single layer Graphene Nanoribbon is studied using semi-classical approach. When piezoelectric Graphene Nanoribbon (GNR) is exposed to time varying light beam, ultrasonic waves are produced which propagate in the medium. At low frequencies, we observed oscillations of the ultrasonic observables, velocity change and attenuation which are characteristics of massless Dirac fermions in graphene. Exploiting this oscillatory behavior, we estimate graphene’s electronic mobility to be around . Propagating ultrasonic waves can be amplified, depending on the electric field amplitude. Specifically, amplification occurs when drift velocity exceeds sound velocity. This scheme can be employed for efficient ultrasonic amplifier device operation.
基金supported by the National Natural Science Foundation of China(41171090)the Graduate Student Innovation Foundation of Shaanxi Normal University
摘要The Ms ≥ 8.0 strong earthquakes occurring in Chile since 1800 were analyzed using the ternary, quaternary, and quinary commensurability methods and the butterfly structure diagram, and it was believed that the earthquake signal in Chile in 2014 is relatively strong, a large earthquake is likely to occur in Chile in 2014. An analysis of spatial epicenter migrations showed that the longitudinal and latitudinal epicenter migra- tions have symmetry and synchronism, and there were five obvious northward migrations and four southward migrations. The symmetry axis of the longitudinal migrations is at about 71.7°W and that of the latitudinal mi- grations is at about 30°S; these spatial symmetry axes are located at the subduction zone on the western margin of South America, where two major plates (the Nazca Plate and the South American Plate) converge.
基金jointly supported by the National Natural Science Foundation of China(Nos.11872063 and 12172346)the University of Science and Technology of China(USTC)Research Funds of the Double First-Class Initiative(No.YD2480002002)China Postdoctoral Science Foundation(No.2021TQ0323)。
摘要Noncovalent interfaces play a vital role in inelastic deformation and toughening mechanisms in layered nanocomposites due to their dynamical recoverability. When interfacial engineering is applied to design layered nanocomposites, shear-lag analysis is usually implemented to evaluate the capability of interfacial loading transfer. Here, we introduce a multiscale shear-lag model that correlates macroscale mechanical properties with the molecular mechanisms to quantify the effects of interfacial configuration in graphene oxide(GO) layered nanocomposites. By investigating the mechanical responses of commensurate and incommensurate interfaces, we identify that the commensurate interface exhibits a pronounced size effect due to the nucleation and propagation of interfacial defects, whereas the incommensurate interface displays uniform deformation. Our predictions are further validated through large-scale molecular dynamics simulations for GO layered nanocomposites. This work demonstrates how size effects and interfacial configurations can be exploited to fabricate layered nanocomposites with superior mechanical properties despite relying on weak noncovalent interfaces.
基金US National Science Foundation (No. 1115564)North Carolina Department of Transportation (NCDOT) Research Grant (Nos. RP2013-13, RP2016-16, RP2016-19, RP2018-40)+5 种基金the Fulbright Senior Scholar Award 2016-2017, HK PolyU 2016-2017HK Branch of NRTEAETRC 2016-2017 to Prof. Sheng-Guo Wangin part by the China Scholarship Council (CSC) scholarship of 2013-2014 and Prof. Wang's NCDOT Research Grant (No. RP2013-13)Shu Liang as a co-educated Ph.D. student at the UNC Charlotte (UNCC)the Fundamental Research Funds for the China Central Universities of USTB (No. FRF-TP-17-088A1) to Shu Liangthe National Natural Science Foundation of China (No. 61873024) to Prof. Kaixiang Peng.
摘要A Routh table test for stability of commensurate fractional degree polynomials and their commensurate fractional order systems is presented via an auxiliary integer degree polynomial. The presented Routh test is a classical Routh table test on the auxiliary integer degree polynomial derived from and for the commensurate fractional degree polynomial. The theoretical proof of this proposed approach is provided by utilizing Argument principle and Cauchy index. Illustrative examples show efficiency of the presented approach for stability test of commensurate fractional degree polynomials and commensurate fractional order systems. So far, only one Routh-type test approach [1] is available for the commensurate fractional degree polynomials in the literature. Thus, this classical Routh-type test approach and the one in [1] both can be applied to stability analysis and design for the fractional order systems, while the one presented in this paper is easy for peoples, who are familiar with the classical Routh table test, to use.
基金supported by the National Natural Science Fund of China(grant number 41877519)。
摘要Based on the complete seismic data of the Tianshan area in the past 118 years,the co-occurrence rate of earthquakes in different fault zones is calculated,the fault zone with the highest associative degree in the Tianshan area is determined as the research object,extracted the earthquake time series information of the strong associative fault zone and the commensurability method is used to obtain the commensurability expression,the year of strongest earthquake signal is calculated and predicted,then the butterfly structure diagram and commensurability structure system are drawn.Combined the butterfly structure diagram and commensurability structure system to analyze the seismic spatiotemporal structure characteristics of the Tianshan area,judge the trend of future earthquakes,and predict the time of future earthquakes.The results demonstrate that Ms≥5.6 earthquake signals are strong in 2020 and 2021.In order to determine the location of future earthquakes,the historical epicenter migration law of the strongly correlated fault zone in the Tianshan area is analyzed.It is revealed that the epicenter distribution is symmetric in both the longitude and latitude directions.Analyzing the spatial distribution of epicenters,the five successive earthquakes in the strong associative fault zone in the Tianshan area present a pentagonal symmetrical structure in space.It is judged that the next earthquake will migrate toward the northeast.Additionally,the sunspot has a strong seismic correlation with the strong associative fault zone in the Tianshan area.Specifi cally,on the 11-year cycle scale of sunspot activity,64.71% of earthquakes occurred in the fluctuation descending range;on the monthly scale of sunspot activity.Hence,it has been verified that the proposed disaster prediction method based on commensurability theory is scientifi c and has a broad application prospect.
基金This work was supported by the Nation’s Natural Science Found of China (No.10373017) and the Chinese Astronomical Committee Foundation.
摘要The method of commensurability was used by the authors to predict the great earthquake of magnitude 7.5 that occurred on March 31,2002 in Taiwan 70km away from Hualian. Analyzing the earthquakes of magnitude≥7.0 which occurred in the Hualian area of Taiwan within the 20th century, the authors discovered that the occurrences of the earthquakes are commensurable. The earthquakes of magnitude 7.6 which occurred in Hualian of Taiwan, on September 20th, 1999 and of magnitude 7.5 which occurred 70 km away from Hualian, on March 31th, 2002 appeared at the commensurable point of K=2 and the period times the golden section, respectively. An extended discussion is carried out on the method of commensurability and its implied physical significance, especially on the contribution of the commensurable periodic extension made by Prof. Weng Wenbo.
摘要Strained SiGe alloys are successfully grown on Si(100) substrate in gas source molecular beam epitaxy system using disilane (Si 2H 6) and germane (GeH 4). The surface reconstructions are monitored by in situ reflection high energy electron diffraction during epitaxy. At a fixed substrate temperature, the Ge composition in the alloys increase with GeH 4/(GeH 4+2Si 2H 6) gas flow rate ratio. Surface morphologies of the grown samples show a strong dependence on the Ge composition, substrate temperature and SiGe epilayer thickness. Results indicate that high substrate temperature and large Ge composition are favorable for the growth mode transition from two dimensional to three dimensional growth.
基金Sponsored by 863 Project (Grant No.2002AA517020) Developing Fund of Shanghai Science Committee (Grant No.011607033).
摘要An efficient identification algorithm is given for commensurate order linear time-invariant fractional systems. This algorithm can identify not only model coefficients of the system, but also its differential order at the same time. The basic idea is to change the system matrix into a diagonal one through basis transformation. This makes it possible to turn the system’s input-output relationships into the summation of several simple subsystems, and after the identification of these subsystems, the whole identification system is obtained which is algebraically equivalent to the former system. Finally an identification example verifies the effectiveness of the method previously mentioned.
基金a periodic achievement of the Ministry of Justice’s 2015 national law and legal theory research project“Institutional Supply and Behavioral Choice of Juridical Guarantee for Human Rights”(Project No.:15SFB3001)China Society for Human Rights Studies’2020 ministerial-level research project“Cultural Interpretation of Confucian Discourse of Human Rights”(Project No.:CSHR2020-09YB)
摘要As to the contents of Confucian discourse of human rights there are four topics which are being or not-being,history,relationship and constructivism on Confucian-human right.According to the different criteria of being or not being on Confucian-human right there are three points:not being in ancient times,being in ancient times,not being originally and being later.There are three points too on relationship of Confucian-human right:exclusion,integration and conversion.what is sometimes overlooked on the history of Confucian-human right is eastern studies introduced to the west.The traditional Chinese thoughts had an important effect on western human right idea and normative text.Du Gangjian,a well-known expert on Chaoshan new Confucianism in construction of Confucian-human right,constructs a theory system of Confucian human rights by Confucius’ideas.Taken together,Confucian discourse of human rights is at the cross-section when China mingled with the western countries and the modern replaced the ancient.The commensurability of human rights is just made at this point.
摘要The dynamic analysis of financial systems is a developing field that combines mathematics and economics to understand and explain fluctuations in financial markets.This paper introduces a new three-dimensional(3D)fractional financial map and we dissect its nonlinear dynamics system under commensurate and incommensurate orders.As such,we evaluate when the equilibrium points are stable or unstable at various fractional orders.We use many numerical methods,phase plots in 2D and 3D projections,bifurcation diagrams and the maximum Lyapunov exponent.These techniques reveal that financial maps exhibit chaotic attractor behavior.This study is grounded on the Caputo-like discrete operator,which is specifically influenced by the variance of the commensurate and incommensurate orders.Furthermore,we confirm the presence and measure the complexity of chaos in financial maps by the 0-1 test and the approximate entropy algorithm.Additionally,we offer nonlinear-type controllers to stabilize the fractional financial map.The numerical results of this study are obtained using MATLAB.
基金Supported by the National Natural Science Foundation of China under Grant Nos 91026005 and 11105054the Foundation for Distinguished Young Talents in Higher Education of Guangdong Province under Grant No LYM10065the Domestic Visiting Scholars Program of the Doctoral Candidates of Northwest Normal University of China.
摘要Dynamical mode locking phenomena in incommensurate structures of the dc- and ac-driven overdamped FrenkelKontorova model are studied by molecular-dynamics simulations.It is found that the Shapiro steps exhibit significantly different amplitude and frequency dependences from the ones observed in the commensurate structures.The step widths still oscillate with the amplitude,but the form is no longer Bessel-like,i.e.,the anomaly appears in our simulations.The same type of anomalies is also exhibited by the critical depinning force.The oscillatory behavior and the anomalies are also revealed in the ((F),Fac) phase diagram where three phases are observed.These oscillations are directly correlated with the existence and the stability of interference phenomena in real systems.
基金the National Natural Science Foundation of China(Grant No.11805285)the Natural Science Foundation of Shaanxi Province of China(Grant No.2022JM-033)the Science and Technology Research Program of Chongqing Municipal Education Commission(Grant No.KJQN 201900703)。
摘要Commensurate and incommensurate Haldane phases for a spin-1 bilinear-biquadratic model are investigated using an infinite matrix product state algorithm.The bipartite entanglement entropy can detect a transition point between the two phases.In both phases,the entanglement spectrum shows double degeneracy.We calculate the nonlocal order parameter of the bond-centered inversion in both phases,which rapidly approaches a saturation value of-1 as the segment length increases.The nonlocal order parameter of the bond-centered inversion with a saturation value-1 and the nonzero value string order indicate that the Haldane phase is a symmetry-protected topological phase.To distinguish the commensurate and incommensurate Haldane phases,the transversal spin correlation and corresponding momentum distribution of the structure factor are analyzed.As a result,the transversal spin correlations exhibit different decay forms in both phases.
摘要This article introduces application of the expanding commensurability in earthquake prediction. The results show that most of the world’s major earthquake occurred at their commensurable points of time axis. An EQ 7.0 occurred in Lushan of China on 2013-04-20 and an EQ 8.2 occurred in Iquique of northern Chile on 2014-04-01 all occurred at their commensurable points of time axis. This once again proves that the commensurability provides an important scientific basis for the prediction of major earthquakes, which will occur in the area in future.
摘要Based on the floods landslides commensurability system, the paper presents and discusses the disasters/hazards with comprehensive interaction and erosional processes. However, people are not enough to get their possibility for the sustainability. They have had so many disasters to meet and to control continuously. Finally, the fundamentals should be built up with nonlinear solutions of landsliding problems; the events of geomagnetism anomaly should be considered.
摘要The U.S. Geological Survey has estimated a 99% chance of a magnitude 6.7 earthquake in California in the next 30 years from 2008. In this paper, Fourier transform, mode analysis and commensurability analysis are used to study the earthquake cycle in California and predict the future strong earthquake. The analysis shows that the strong earthquake in California is most likely to occur in 2019, and the prediction was sent to the relevant institutions of United States in 2018. In July 2019 an M7.1 earthquake occurred in California, which proved our prediction to be correct.
摘要Measurements by using the ultrasonic technique together for electric resistance verified that the first sound velocity valley on cooling is mainly due to the soft-mode of driving the com- mensurate phase transition,and the second one due to the soft-mode of driving the martensitic transformation.The starting point,R_s,and finishing point,R_f,of the commensurate phase transition of the alloy have been determined.
摘要A History of Chinese and Foreign Literary Theories (2012) edited by Professor CAO Shun-qing is the first monograph of literary theory history that crosses the Eastern and Western cultural circles and integrates the world's literary theories into one from the perspective of General Literature. It is the only historical work that widely covers Chinese literary theories. It shows a general development of Chinese and foreign literary theories to readers from the perspective of General Literature. It presents the different characteristics of literary theories of different countries and their unique contributions to the world literary theories. It is featured by comparisons between ancient and today's literary theories, between Chinese and foreign literary theories, and between literary theories of different cultures. This book shows a general development of Chinese and foreign literary theories to readers from the perspective of General Literature. It presents the different characteristics of literary theories of different countries and their unique contributions to the world literary theories. It discloses the basic rules of literary theories of various nations in the world and contributes to setting up the "General Literary Theory".