Since the presence of chaos in Bose-Einstein condensate (BEC) systems plays a destructive role that can undermine the stability of the condensates, controlling the chaos is of great importance for the creation of the BEC. In this paper, a fuzzy logic controller (FLC) to synchronize the chaotic dynamics of two identical master-slave BEC systems has been proposed. Unlike the conventional approaches, where expert knowledge is directly used to construct the fuzzy rules and membership functions, the fuzzy rules have been constructed using Lyapunov stability theorem ensuring the synchronization process. The effectiveness of the proposed controller has been demonstrated numerically.
{"title":"Chaos synchronization in a BEC system using fuzzy logic controller","authors":"E. Tosyali, Y. Oniz, F. Aydogmus","doi":"10.5488/CMP.25.33501","DOIUrl":"https://doi.org/10.5488/CMP.25.33501","url":null,"abstract":"Since the presence of chaos in Bose-Einstein condensate (BEC) systems plays a destructive role that can undermine the stability of the condensates, controlling the chaos is of great importance for the creation of the BEC. In this paper, a fuzzy logic controller (FLC) to synchronize the chaotic dynamics of two identical master-slave BEC systems has been proposed. Unlike the conventional approaches, where expert knowledge is directly used to construct the fuzzy rules and membership functions, the fuzzy rules have been constructed using Lyapunov stability theorem ensuring the synchronization process. The effectiveness of the proposed controller has been demonstrated numerically.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"82 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85231091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The generalized van der Waals equation for anisotropic fluids in porous media, proposed by the authors in previous works, is used to describe the effect of porous media on the phase behavior of polypeptide solutions. By introducing the temperature dependence for the depth of the potential well and the geometric parameters of the spherocylinder, the main features of phase behavior of the polypeptide poly (γ-benzyl-L-glutamate) (PBLG) in a solution of dimethylformamide, including the existence of two nematic phases, is reproduced. It is shown that the presence of a porous medium shifts the phase diagram to the region of lower densities and lower temperatures.
{"title":"Effects of porous media on the phase behaviour of polypeptide solutions","authors":"V. Shmotolokha, M. Holovko","doi":"10.5488/CMP.25.33602","DOIUrl":"https://doi.org/10.5488/CMP.25.33602","url":null,"abstract":"The generalized van der Waals equation for anisotropic fluids in porous media, proposed by the authors in previous works, is used to describe the effect of porous media on the phase behavior of polypeptide solutions. By introducing the temperature dependence for the depth of the potential well and the geometric parameters of the spherocylinder, the main features of phase behavior of the polypeptide poly (γ-benzyl-L-glutamate) (PBLG) in a solution of dimethylformamide, including the existence of two nematic phases, is reproduced. It is shown that the presence of a porous medium shifts the phase diagram to the region of lower densities and lower temperatures.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"11 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87170675","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shape transformations of hairy nanoparticles under confinement are studied using molecular dynamic simulations. We discuss the behavior of these particles in slits with inert or attractive walls. We assume that only chain-wall interactions are attractive. The impact of the strength of interactions with the walls and the width of the slits on the particle configuration is shown. In the case of attractive surfaces, we found new structures in which the chains are connected with both walls and form bridges between them: pillars, symmetrical and asymmetrical spools, and hourglasses. In wide pores with strongly attractive walls, hairy particles adsorb on one of the surfaces and form "mounds" or starfish-like strucures.
{"title":"A polymer-tethered particle confined in a slit","authors":"T. Staszewski, M. Borówko","doi":"10.5488/CMP.25.33604","DOIUrl":"https://doi.org/10.5488/CMP.25.33604","url":null,"abstract":"Shape transformations of hairy nanoparticles under confinement are studied using molecular dynamic simulations. We discuss the behavior of these particles in slits with inert or attractive walls. We assume that only chain-wall interactions are attractive. The impact of the strength of interactions with the walls and the width of the slits on the particle configuration is shown. In the case of attractive surfaces, we found new structures in which the chains are connected with both walls and form bridges between them: pillars, symmetrical and asymmetrical spools, and hourglasses. In wide pores with strongly attractive walls, hairy particles adsorb on one of the surfaces and form \"mounds\" or starfish-like strucures.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"80 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75993198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The spin-1/2 Heisenberg model is formulated in terms of a mean-field approximation (MFA) by using the matrix forms of spin operators Ŝx, Ŝy and Ŝz in three-dimensions. The considered Hamiltonian consists of bilinear exchange interaction parameters (Jx, Jy, Jz), Dzyaloshinskii-Moriya interactions (Δx, Δy, Δz) and external magnetic field components (Hx, Hy, Hz). The magnetization and its components are obtained in the MFA with the general anisotropic case with Jx ≠ Jy ≠ Jz for various values of coordination numbers q. Then, the thermal variations of magnetizations are investigated in detail to obtain the phase diagrams of the model for the isotropic case with Jx = Jy = Jz > 0. It is found that the model exhibits ferromagnetic, paramagnetic, random phase regions and an extra ferromagnetic phase at which the components of magnetizations present branching.
{"title":"Ferromagnetic Heisenberg model with the Dzyaloshinskii-Moriya interaction","authors":"E. Albayrak","doi":"10.5488/CMP.25.33701","DOIUrl":"https://doi.org/10.5488/CMP.25.33701","url":null,"abstract":"The spin-1/2 Heisenberg model is formulated in terms of a mean-field approximation (MFA) by using the matrix forms of spin operators Ŝx, Ŝy and Ŝz in three-dimensions. The considered Hamiltonian consists of bilinear exchange interaction parameters (Jx, Jy, Jz), Dzyaloshinskii-Moriya interactions (Δx, Δy, Δz) and external magnetic field components (Hx, Hy, Hz). The magnetization and its components are obtained in the MFA with the general anisotropic case with Jx ≠ Jy ≠ Jz for various values of coordination numbers q. Then, the thermal variations of magnetizations are investigated in detail to obtain the phase diagrams of the model for the isotropic case with Jx = Jy = Jz > 0. It is found that the model exhibits ferromagnetic, paramagnetic, random phase regions and an extra ferromagnetic phase at which the components of magnetizations present branching.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"84 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88107693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The main purpose of this review paper is to give systematically all the known results on phase diagrams corresponding to lattice models (Ising and Potts) on Cayley tree (or Bethe lattice) and chandelier networks. A detailed survey of various modelling applications of lattice models is reported. By using Vannimenus's approach, the recursive equations of Ising and Potts models associated to a given Hamiltonian on the Cayley tree are presented and analyzed. The corresponding phase diagrams with programming codes in different programming languages are plotted. To detect the phase transitions in the modulated phase, we investigate in detail the actual variation of the wave-vector q with temperature and the Lyapunov exponent associated with the trajectory of our current recursive system. We determine the transition between commensurate (C) and incommensurate (I) phases by means of the Lyapunov exponents, wave-vector, and strange attractor for a comprehensive comparison. We survey the dynamical behavior of the Ising model on the chandelier network. We examine the phase diagrams of the Ising model corresponding to a given Hamiltonian on a new type of "Cayley-tree-like lattice", such as triangular, rectangular, pentagonal chandelier networks (lattices). Moreover, several open problems are discussed.
{"title":"Phase diagrams of lattice models on Cayley tree and chandelier network: a review","authors":"H. Akin","doi":"10.5488/CMP.25.32501","DOIUrl":"https://doi.org/10.5488/CMP.25.32501","url":null,"abstract":"The main purpose of this review paper is to give systematically all the known results on phase diagrams corresponding to lattice models (Ising and Potts) on Cayley tree (or Bethe lattice) and chandelier networks. A detailed survey of various modelling applications of lattice models is reported. By using Vannimenus's approach, the recursive equations of Ising and Potts models associated to a given Hamiltonian on the Cayley tree are presented and analyzed. The corresponding phase diagrams with programming codes in different programming languages are plotted. To detect the phase transitions in the modulated phase, we investigate in detail the actual variation of the wave-vector q with temperature and the Lyapunov exponent associated with the trajectory of our current recursive system. We determine the transition between commensurate (C) and incommensurate (I) phases by means of the Lyapunov exponents, wave-vector, and strange attractor for a comprehensive comparison. We survey the dynamical behavior of the Ising model on the chandelier network. We examine the phase diagrams of the Ising model corresponding to a given Hamiltonian on a new type of \"Cayley-tree-like lattice\", such as triangular, rectangular, pentagonal chandelier networks (lattices). Moreover, several open problems are discussed.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"7 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89685489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We have revisited the composition dependence of principal properties of liquid water-DMSO mixtures by using the isobaric-isothermal molecular dynamics computer simulations. A set of non-polarizable semi-flexible models for the DMSO molecule combined with the TIP4P-2005 and TIP4P/ε water models is considered. We restrict calculations to atmospheric pressure, 0.1013 MPa, and room temperature, 298.15 K. Composition trends of density, excess mixing volume and excess mixing enthalpy, partial molar volumes and partial molar enthalpies of species, apparent molar volumes are reported. Besides, we explore composition trends of the self-diffusion of species, the static dielectric constant and the surface tension. Evolution of the microscopic structure of the mixture with composition is analyzed in terms of radial distributions functions, coordination numbers and the fractions of hydrogen-bonded molecules. We intend to capture the peculiarities of mixing the species in the mixture upon the DMSO molar fraction and the anomalous behaviors, if manifested in each of the properties under study. The quality of several combinations of the models for species is evaluated in detail to establish the possibility of necessary improvements.
{"title":"Revisiting the composition dependence of the properties of water-dimethyl sulfoxide liquid mixtures. Molecular dynamics computer simulations","authors":"M. Aguilar, H. Domínguez, O. Pizio","doi":"10.5488/CMP.25.33202","DOIUrl":"https://doi.org/10.5488/CMP.25.33202","url":null,"abstract":"We have revisited the composition dependence of principal properties of liquid water-DMSO mixtures by using the isobaric-isothermal molecular dynamics computer simulations. A set of non-polarizable semi-flexible models for the DMSO molecule combined with the TIP4P-2005 and TIP4P/ε water models is considered. We restrict calculations to atmospheric pressure, 0.1013 MPa, and room temperature, 298.15 K. Composition trends of density, excess mixing volume and excess mixing enthalpy, partial molar volumes and partial molar enthalpies of species, apparent molar volumes are reported. Besides, we explore composition trends of the self-diffusion of species, the static dielectric constant and the surface tension. Evolution of the microscopic structure of the mixture with composition is analyzed in terms of radial distributions functions, coordination numbers and the fractions of hydrogen-bonded molecules. We intend to capture the peculiarities of mixing the species in the mixture upon the DMSO molar fraction and the anomalous behaviors, if manifested in each of the properties under study. The quality of several combinations of the models for species is evaluated in detail to establish the possibility of necessary improvements.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79313618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In simulations of crystals, unlike liquids or gases, it may happen that the properties of the studied system depend not only on the volume of the simulation cell but also on its shape. For such cases it is desirable to change the shape of the box on the fly in the course of the simulation as it may not be known ahead of time which geometry fits the studied system best. In this work we derive an algorithm for this task based on the condition that the distribution of specific geometrical parameter observed in simulations at a constant volume matches that observed in the constant-pressure ensemble. The proposed algorithm is tested for the system of hard-core ellipses which makes lattices of different types depending on the asphericity parameter of the particle. It is shown that the performance of the algorithm critically depends on the range of the sampled geometrical parameter. If the range is narrow, the impact of the sampling method is minimal. If the range is large, inadequate sampling can lead to significant distortions of the relevant distribution functions and, as a consequence, errors in the estimates of free energy.
{"title":"On the algorithm to perform Monte Carlo simulations in cells with constant volume and variable shape","authors":"A. Baumketner","doi":"10.5488/CMP.25.33201","DOIUrl":"https://doi.org/10.5488/CMP.25.33201","url":null,"abstract":"In simulations of crystals, unlike liquids or gases, it may happen that the properties of the studied system depend not only on the volume of the simulation cell but also on its shape. For such cases it is desirable to change the shape of the box on the fly in the course of the simulation as it may not be known ahead of time which geometry fits the studied system best. In this work we derive an algorithm for this task based on the condition that the distribution of specific geometrical parameter observed in simulations at a constant volume matches that observed in the constant-pressure ensemble. The proposed algorithm is tested for the system of hard-core ellipses which makes lattices of different types depending on the asphericity parameter of the particle. It is shown that the performance of the algorithm critically depends on the range of the sampled geometrical parameter. If the range is narrow, the impact of the sampling method is minimal. If the range is large, inadequate sampling can lead to significant distortions of the relevant distribution functions and, as a consequence, errors in the estimates of free energy.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"26 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84988248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We explore clustering of curcumin molecules in water by using the OPLS-UA model for the enol conformer of curcumin (J. Mol. Liq., 223, 707, 2016) and the SPC-E water model. With this purpose, solutions of 2, 4, 8, 12, 16 and 20 curcumin molecules in 3000 water molecules are studied by using extensive molecular dynamics computer simulations. Radial distributions for the centers of mass of curcumin molecules are evaluated and the running coordination numbers are analyzed. The formation of clusters on time is elucidated. The internal structure of molecules within the cluster is described by using radial distributions of the elements of the curcumin molecule, the orientation descriptors, the order parameter and the radius of gyration. The self-diffusion coefficient of solute molecules in clusters is evaluated. The distribution of water species around clusters is described in detail. A comparison of our findings with computer simulation results of other authors is performed. A possibility to relate predictions of the model with experimental observations is discussed.
{"title":"Structural aspects of the clustering of curcumin molecules in water. Molecular dynamics computer simulation study","authors":"T. Patsahan, O. Pizio","doi":"10.5488/CMP.25.23201","DOIUrl":"https://doi.org/10.5488/CMP.25.23201","url":null,"abstract":"We explore clustering of curcumin molecules in water by using the OPLS-UA model for the enol conformer of curcumin (J. Mol. Liq., 223, 707, 2016) and the SPC-E water model. With this purpose, solutions of 2, 4, 8, 12, 16 and 20 curcumin molecules in 3000 water molecules are studied by using extensive molecular dynamics computer simulations. Radial distributions for the centers of mass of curcumin molecules are evaluated and the running coordination numbers are analyzed. The formation of clusters on time is elucidated. The internal structure of molecules within the cluster is described by using radial distributions of the elements of the curcumin molecule, the orientation descriptors, the order parameter and the radius of gyration. The self-diffusion coefficient of solute molecules in clusters is evaluated. The distribution of water species around clusters is described in detail. A comparison of our findings with computer simulation results of other authors is performed. A possibility to relate predictions of the model with experimental observations is discussed.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"45 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84306939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
I. Kravtsiv, G. Bokun, M. Holovko, N. Prokopchuk, D. di Caprio
A solid ionic conductor with cation conductivity in the interelectrode region is studied. Due to their large size, the anions are considered fixed and form a homogeneous neutralizing electric background. The model can be used to describe properties of ceramic conductors. For a statistical mechanical description of such systems, which are characterized by short-range Van der Waals interactions and long-range Coulomb interactions, an approach combining the collective variables method and the method of mean cell potentials is used. This formalism was applied in our previous work [Bokun G., Kravtsiv I., Holovko M., Vikhrenko V., di Caprio D., Condens. Matter Phys., 2019, 29, 3351] to a homogeneous state and in the present work is extended to an inhomogeneous case induced by an external electric field. As a result, mean cell potentials become functionals of the density field and can be described by a closed system of integral equations. We investigate the solution of this problem in the lattice approximation and study charge and electric field distributions in the interelectrode region as functions of plate electrode charges. The differential electric capacitance is subsequently calculated and discussed.
{"title":"Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte","authors":"I. Kravtsiv, G. Bokun, M. Holovko, N. Prokopchuk, D. di Caprio","doi":"10.5488/CMP.25.23501","DOIUrl":"https://doi.org/10.5488/CMP.25.23501","url":null,"abstract":"A solid ionic conductor with cation conductivity in the interelectrode region is studied. Due to their large size, the anions are considered fixed and form a homogeneous neutralizing electric background. The model can be used to describe properties of ceramic conductors. For a statistical mechanical description of such systems, which are characterized by short-range Van der Waals interactions and long-range Coulomb interactions, an approach combining the collective variables method and the method of mean cell potentials is used. This formalism was applied in our previous work [Bokun G., Kravtsiv I., Holovko M., Vikhrenko V., di Caprio D., Condens. Matter Phys., 2019, 29, 3351] to a homogeneous state and in the present work is extended to an inhomogeneous case induced by an external electric field. As a result, mean cell potentials become functionals of the density field and can be described by a closed system of integral equations. We investigate the solution of this problem in the lattice approximation and study charge and electric field distributions in the interelectrode region as functions of plate electrode charges. The differential electric capacitance is subsequently calculated and discussed.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"51 1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91006049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Based on the pseudospin model of the deformed CsH2PO4 crystal within the Glauber method, the equation for the time-dependent mean value of the pseudospin is obtained, which is solved in the case of small deviations from the equilibrium state. Using the solution of the equation, we find expressions for the longitudinal dynamic dielectric constant and relaxation time. Based on the proposed parameters of the theory, the temperature and frequency dependences of the dynamic dielectric constant and the temperature dependence of the relaxation time are calculated and investigated. A detailed numerical analysis of the obtained results was performed. The influence of hydrostatic pressure on the dynamic characteristics of CsH2PO4 is studied.
{"title":"Effect of hydrostatic pressure on dynamic dielectric characteristics of CsH2PO4 ferroelectric","authors":"A. Vdovych, R. Levitskii, I. R. Zachek","doi":"10.5488/CMP.25.23701","DOIUrl":"https://doi.org/10.5488/CMP.25.23701","url":null,"abstract":"Based on the pseudospin model of the deformed CsH2PO4 crystal within the Glauber method, the equation for the time-dependent mean value of the pseudospin is obtained, which is solved in the case of small deviations from the equilibrium state. Using the solution of the equation, we find expressions for the longitudinal dynamic dielectric constant and relaxation time. Based on the proposed parameters of the theory, the temperature and frequency dependences of the dynamic dielectric constant and the temperature dependence of the relaxation time are calculated and investigated. A detailed numerical analysis of the obtained results was performed. The influence of hydrostatic pressure on the dynamic characteristics of CsH2PO4 is studied.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"7 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91307070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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