We investigated the correlations between the net baryon number and electric charge up to the sixth order related to the interactions of nuclear matter at low temperature and explored their relationship with the nuclea...We investigated the correlations between the net baryon number and electric charge up to the sixth order related to the interactions of nuclear matter at low temperature and explored their relationship with the nuclear liquid-gas phase transition(LGPT)within the framework of the nonlinear Walecka model.The calculations showed that strong correlations between the baryon number and electric charge existed near the LGPT,and higher-order correlations were more sensitive than the lower-order correlations near the phase transition.However,in the high-temperature region away from the LGPT,the rescaled lower-order correlations were relatively larger than most of the higher-order correlations.In addition,some of the fifth-and sixth-order correlations possibly changed sign from negative to positive along the chemical freeze-out line with decreasing temperature.In combination with future experimental projects at lower collision energies,the derived results can be used to study the phase structure of strongly interacting matter and analyze the related experimental signals.展开更多
High-order interpolation algorithms for charge conservation in Particle-inCell(PIC)simulations are presented.The methods are valid for the case that a particle trajectory is a zigzag line.The second-order and third-or...High-order interpolation algorithms for charge conservation in Particle-inCell(PIC)simulations are presented.The methods are valid for the case that a particle trajectory is a zigzag line.The second-order and third-order algorithms which can be applied to any even-order and odd-order are discussed in this paper,respectively.Several test simulations are performed to demonstrate their validity in two-dimensional PIC code.Compared with the simulation results of one-order,high-order algorithms have advantages in computation precision and enlarging the grid scales which reduces the CPU time.展开更多
Considering the self-gravitation and energy conservation as well as charge conservation, we extend Medved and Vagenas＇s quantum tunneling method to the global monopole charged black hole, and give a correction to Haw...Considering the self-gravitation and energy conservation as well as charge conservation, we extend Medved and Vagenas＇s quantum tunneling method to the global monopole charged black hole, and give a correction to Hawking radiation of a charged particle.展开更多
Introducing a new coordinate system and choosing a set of appropriate matrices γ^μ, this paper attempts to investigate the fermion tunneling of charged particles across the event horizon from the Vaidya-Bonner de Si...Introducing a new coordinate system and choosing a set of appropriate matrices γ^μ, this paper attempts to investigate the fermion tunneling of charged particles across the event horizon from the Vaidya-Bonner de Sitter black hole. The result shows that the tunneling rate of the non-static black hole is related not only to the change of Bekenstein- Hawking entropy but also to the integral of the changing horizon, which violates unitary theory and is different from the stationary case.展开更多
Applying Parikh-Wilzcek＇s semi-classical quantum tunneling model, we study the Hawking radiation of charged particles as tunneling from the event horizon of a cylindrically symmetric black hole in anti-de Sitter spac...Applying Parikh-Wilzcek＇s semi-classical quantum tunneling model, we study the Hawking radiation of charged particles as tunneling from the event horizon of a cylindrically symmetric black hole in anti-de Sitter space-time. The derived result shows that the tunneling rate of charged particles is related to the change of Bekenstein-Hawking entropy and that the radiation spectrum is not strictly pure thermal after taking the black hole background dynamical and self-gravitation interaction into account, but is consistent with the underlying unitary theory.展开更多
The process of covariant conserved charge of gravitational theory, which is covariant under general coordinate and local Lorentz transformations, has been applied to many tetrad fields, which reproduce Kerr-Ads spacet...The process of covariant conserved charge of gravitational theory, which is covariant under general coordinate and local Lorentz transformations, has been applied to many tetrad fields, which reproduce Kerr-Ads spacetime, to calculate their conserved charges. It is shown that this process gives an infinite value of the conserved charges for Kerr–Ads spacetime. Therefore, the method of “regularization through relocalization”, i.e., modification of the Lagrangian of the gravitational field through a total derivative, is used. This method gaves a finite and a consistent result of total energy and angular momentum for Kerr–Ads spacetime.展开更多
In this work, the possible structures of electron and proton have been explored. Based on the potential expressions of electron and proton, we found that the electron and proton share the similar structure inside re a...In this work, the possible structures of electron and proton have been explored. Based on the potential expressions of electron and proton, we found that the electron and proton share the similar structure inside re and rn. And within re and rn, the conventional charge concept stops working, the same charge repelling force doesn’t exist anymore and as a result, the requirement of charge conservation is automatically removed. Whereas beyond re and rn, the potential expressions of electron and proton obey the point charge potentials as we normally understand. Therefore, the conventional charge concept can be applied and the requirement of charge conservation takes effect. Furthermore, a possible mechanism for the creations of electric monopole and magnetic monopole is discussed. In addition, to compare the particle size in micro-world, the balloon criterion is proposed. By this balloon criterion, the proton is determined about 10 times bigger than electron. From the physical picture about electron and proton described above, the stabilities of electron and proton can be explained quite well.展开更多
Analysis of Pb+Pb data for net-charge fluctuations at LHC energies using the HYDJET++model is presented.The strongly intensive quantities D and Σ were used to remove the effects related to system volume fluctuations....Analysis of Pb+Pb data for net-charge fluctuations at LHC energies using the HYDJET++model is presented.The strongly intensive quantities D and Σ were used to remove the effects related to system volume fluctuations.We employed two versions of HYDJET++for the analysis.The first one is the standard or default version,whereas the second one is a modification that takes into account explicit event-by-event conservation of the electric net-charge of produced particles.The inclusion of the canonical net-charge conservation in the model allows for better description of the experimental data obtained by the ALICE and CMS Collaborations.A comparison with calculations from other models is also presented.展开更多
I study the response of a particle detector coupled to quantized massless complex scalar field in four dimensional Minkowski spacetime through nonlinear Lagrangian. I find that as in the real scalar field： the partic...I study the response of a particle detector coupled to quantized massless complex scalar field in four dimensional Minkowski spacetime through nonlinear Lagrangian. I find that as in the real scalar field： the particle detector will not respond when it is in inertial motion; If accelerated in its own frame reference, it does respond and feel the same temperature. But different from the real scalar field case, the detector＇s transition amplitude is concerned with particle-antiparticle creation, and the response of the detector is （1/α^2 ＋ ε^2）/24π^2 times of that in real scalar field, with 1/α the accelerator of the detector and e the energy gap between the detector＇s two energy level. It is due to the nonlinear property of the coupling Lagrangian. Whether the total charge of the system constructed by the particle detector and vacuum is conserved is also considered and analyzed.展开更多
Recent development of structure-preserving geometric particle-in-cell （PIC） algorithms for Vlasov-Maxwell systems is summarized. With the arrival of 100 petaflop and exaflop computing power, it is now possible to ca...Recent development of structure-preserving geometric particle-in-cell （PIC） algorithms for Vlasov-Maxwell systems is summarized. With the arrival of 100 petaflop and exaflop computing power, it is now possible to carry out direct simulations of multi-scale plasma dynamics based on first-principles. However, standard algorithms currently adopted by the plasma physics community do not possess the long-term accuracy and fidelity required for these large-scale simulations. This is because conventional simulation algorithms are based on numerically solving the underpinning differential （or integro-differential） equations, and the algorithms used in general do not preserve the geometric and physical structures of the systems, such as the local energy-momentum conservation law, the symplectic structure, and the gauge symmetry. As a consequence, numerical errors accumulate coherently with time and long-term simulation results are not reliable. To overcome this difficulty and to harness the power of exascale computers, a new generation of structure-preserving geometric PIC algorithms have been developed. This new generation of algorithms utilizes modem mathematical techniques, such as discrete manifolds, interpolating differential forms, and non-canonical symplectic integrators, to ensure gauge symmetry, space-time symmetry and the conservation of charge, energy-momentum, and the symplectic structure. These highly desired properties are difficult to achieve using the conventional PIC algorithms. In addition to summarizing the recent development and demonstrating practical implementations, several new results are also presented, including a structure-preserving geometric relativistic PIC algorithm, the proof of the correspondence between discrete gauge symmetry and discrete charge conservation law, and a reformulation of the explicit non-canonical symplectic algorithm for the discrete Poisson bracket using the variational approach. Numerical examples are given to verify the advantages of the structure- preserving geometric PIC algorithms in comparison with the conventional PIC methods.展开更多
In this note, the off-shell generalized Abbott-Deser-Tekin （ADT） formalism is applied to explore the mass of Kerr- anti-de Sitter （Kerr-AdS） black holes in various dimensions within asymptotically rotating frames....In this note, the off-shell generalized Abbott-Deser-Tekin （ADT） formalism is applied to explore the mass of Kerr- anti-de Sitter （Kerr-AdS） black holes in various dimensions within asymptotically rotating frames. The cases in four and five dimensions are explicitly investigated. It is demonstrated that the asymptotically rotating effect may make the charge non-integrable or unphysical when the asymptotic non-rotating timelike Killing vector associated with the charge is allowed to vary and the fluctuation of the metric is determined by the variation of all the mass and rotation parameters. To obtain a physically meaningful mass, it is proposed that one can let the non-rotating timelike Killing vector be fixed or perform calculations in the asymptotically static frame. The results further support that the ADT formalism is background- dependent.展开更多
We derive the basic canonical brackets amongst the creation and annihilation operators for a two(1 + 1)-dimensional(2D) gauge field theoretic model of an interacting Hodge theory where a U(1) gauge field(Aμ) is coupl...We derive the basic canonical brackets amongst the creation and annihilation operators for a two(1 + 1)-dimensional(2D) gauge field theoretic model of an interacting Hodge theory where a U(1) gauge field(Aμ) is coupled with the fermionic Dirac fields(ψ andˉψ). In this derivation, we exploit the spin-statistics theorem, normal ordering and the strength of the underlying six infinitesimal continuous symmetries(and the concept of their generators) that are present in the theory. We do not use the definition of the canonical conjugate momenta(corresponding to the basic fields of the theory) anywhere in our whole discussion. Thus, we conjecture that our present approach provides an alternative to the canonical method of quantization for a class of gauge field theories that are physical examples of Hodge theory where the continuous symmetries(and corresponding generators) provide the physical realizations of the de Rham cohomological operators of differential geometry at the algebraic level.展开更多
Data from the Large Hadron Collider on the charge balance function in Pb+Pb collisions at center-of-mass energy 2.76 TeV per nucleon pair are analyzed and interpreted within the framework of the HYDJET++model.This mod...Data from the Large Hadron Collider on the charge balance function in Pb+Pb collisions at center-of-mass energy 2.76 TeV per nucleon pair are analyzed and interpreted within the framework of the HYDJET++model.This model allows us to qualitatively reproduce the experimentally observed centrality dependence of the balance function widths at relatively low transverse momentum intervals due to the different charge creation mechanisms in soft and hard processes.However,a fully adequate description of the balance function in these intervals implies an essential modification of the model by including exact charge conservation via the canonical rather than the grand canonical ensemble.A procedure is proposed for introducing charge correlations into the thermal model without changing other model parameters.With increasing transverse momenta,the default model results describe the exper-imental data much better because the contribution of the soft component of the model is significantly reduced in these transverse momentum intervals.In practical terms,there is a transition to a single source of charge correlations,namely,charge correlations in jets in which exact charge conservation holds at each stage.展开更多
In this report,a charge preserving numerical resolution of the 1D VlasovAmp`ere equation is achieved,with a forward Semi-Lagrangian method introduced in[10].The Vlasov equation belongs to the kinetic way of simulating...In this report,a charge preserving numerical resolution of the 1D VlasovAmp`ere equation is achieved,with a forward Semi-Lagrangian method introduced in[10].The Vlasov equation belongs to the kinetic way of simulating plasmas evolution,and is coupled with the Poisson’s equation,or equivalently under charge conservation,the Amp`ere’s one,which self-consistently rules the electric field evolution.In order to ensure having proper physical solutions,it is necessary that the scheme preserves charge numerically.B-spline deposition will be used for the interpolation step.The solving of the characteristics will be made with a Runge-Kutta 2 method and with a Cauchy-Kovalevsky procedure.展开更多
In this study,the susceptibilities of conserved charges,baryon number,charge number,and strangeness number at zero and low values of chemical potential are presented.Taylor series expansion was used to obtain results ...In this study,the susceptibilities of conserved charges,baryon number,charge number,and strangeness number at zero and low values of chemical potential are presented.Taylor series expansion was used to obtain results for the three-flavor Polyakov quark meson(PQM)model and the Polyakov loop extended chiral quark meanfield(PCQMF)model.Mean-field approximation was used to study quark matter with the inclusion of the isospin chemical potential,as well as the vector interactions.The effects of isospin chemical potential and vector-interactions on phase diagrams were analyzed.A comparative analysis of the two models was completed.Fluctuations of the conserved charges were enhanced in the transition temperature regime and hence provided information about the critical end point(CEP).Susceptibilities of conserved quantities were calculated by using the Taylor series method.Enhancement of fluctuations in the transition temperature neighborhood provided a clear signature of a quantum chromodynamics(QCD)critical-point.展开更多
The asymptotic symmetries in the Brans-Dicke theory are analyzed using Penrose's conformal completion method,which is independent of the coordinate system used.These symmetries,indeed,include supertranslations and...The asymptotic symmetries in the Brans-Dicke theory are analyzed using Penrose's conformal completion method,which is independent of the coordinate system used.These symmetries,indeed,include supertranslations and Lorentz transformations for an asymptotically flat spacetime.With the Wald-Zoupas formalism,“conserved charges”and fluxes of the Bondi-Metzner-Sachs algebra are computed.The scalar degree of freedom contributes only to the Lorentz boost charge,even though it plays a role in various fluxes.The flux-balance laws are further applied to constrain the displacement memory,spin memory,and center-of-mass memory effects.展开更多
In this paper,we propose a compact scheme to numerically study the coupled stochastic nonlinear Schrodinger equations.We prove that the compact scheme preserves the discrete stochastic multi-symplectic conservation la...In this paper,we propose a compact scheme to numerically study the coupled stochastic nonlinear Schrodinger equations.We prove that the compact scheme preserves the discrete stochastic multi-symplectic conservation law,discrete charge conservation law and discrete energy evolution law almost surely.Numerical experiments confirm well the theoretical analysis results.Furthermore,we present a detailed numerical investigation of the optical phenomena based on the compact scheme.By numerical experiments for various amplitudes of noise,we find that the noise accelerates the oscillation of the soliton and leads to the decay of the solution amplitudes with respect to time.In particular,if the noise is relatively strong,the soliton will be totally destroyed.Meanwhile,we observe that the phase shift is sensibly modified by the noise.Moreover,the numerical results present inelastic interaction which is different from the deterministic case.展开更多
基金supported by the National Natural Science Foundation of China(Nos.12475145,11875213)the Natural Science Basic Research Plan in Shaanxi Province of China(No.2024JC-YBMS-018).
文摘We investigated the correlations between the net baryon number and electric charge up to the sixth order related to the interactions of nuclear matter at low temperature and explored their relationship with the nuclear liquid-gas phase transition(LGPT)within the framework of the nonlinear Walecka model.The calculations showed that strong correlations between the baryon number and electric charge existed near the LGPT,and higher-order correlations were more sensitive than the lower-order correlations near the phase transition.However,in the high-temperature region away from the LGPT,the rescaled lower-order correlations were relatively larger than most of the higher-order correlations.In addition,some of the fifth-and sixth-order correlations possibly changed sign from negative to positive along the chemical freeze-out line with decreasing temperature.In combination with future experimental projects at lower collision energies,the derived results can be used to study the phase structure of strongly interacting matter and analyze the related experimental signals.
基金supported by the National Natural Science Foundation of China(Grant Nos.10905009,11174259,11175165 and 10975121)the Doctorate Foundation of the Ministry of Education of China(Grant No.200806141034)the Fundamental Research Funds for the Central Universities(Grant No.ZYGX2010J052).
文摘High-order interpolation algorithms for charge conservation in Particle-inCell(PIC)simulations are presented.The methods are valid for the case that a particle trajectory is a zigzag line.The second-order and third-order algorithms which can be applied to any even-order and odd-order are discussed in this paper,respectively.Several test simulations are performed to demonstrate their validity in two-dimensional PIC code.Compared with the simulation results of one-order,high-order algorithms have advantages in computation precision and enlarging the grid scales which reduces the CPU time.
基金supported by National Science Foundation of China under Grant No. 10773008Sichuan Province Foundation for Fundamental Research under Grand No. 05JY029-092
文摘Considering the self-gravitation and energy conservation as well as charge conservation, we extend Medved and Vagenas＇s quantum tunneling method to the global monopole charged black hole, and give a correction to Hawking radiation of a charged particle.
基金Project supported by the National Nature Science Foundation of China (Grant No 10773008)
文摘Introducing a new coordinate system and choosing a set of appropriate matrices γ^μ, this paper attempts to investigate the fermion tunneling of charged particles across the event horizon from the Vaidya-Bonner de Sitter black hole. The result shows that the tunneling rate of the non-static black hole is related not only to the change of Bekenstein- Hawking entropy but also to the integral of the changing horizon, which violates unitary theory and is different from the stationary case.
基金The project supported by the Science Foundation for Fundamental Research of Sichuan Province of China under Grant No. 05JY029-092 .
文摘Applying Parikh-Wilzcek＇s semi-classical quantum tunneling model, we study the Hawking radiation of charged particles as tunneling from the event horizon of a cylindrically symmetric black hole in anti-de Sitter space-time. The derived result shows that the tunneling rate of charged particles is related to the change of Bekenstein-Hawking entropy and that the radiation spectrum is not strictly pure thermal after taking the black hole background dynamical and self-gravitation interaction into account, but is consistent with the underlying unitary theory.
基金Project partially supported by the Science Fund from the Egyptian Ministry of Scientific Research(Grant No.24-2-12)
文摘The process of covariant conserved charge of gravitational theory, which is covariant under general coordinate and local Lorentz transformations, has been applied to many tetrad fields, which reproduce Kerr-Ads spacetime, to calculate their conserved charges. It is shown that this process gives an infinite value of the conserved charges for Kerr–Ads spacetime. Therefore, the method of “regularization through relocalization”, i.e., modification of the Lagrangian of the gravitational field through a total derivative, is used. This method gaves a finite and a consistent result of total energy and angular momentum for Kerr–Ads spacetime.
文摘In this work, the possible structures of electron and proton have been explored. Based on the potential expressions of electron and proton, we found that the electron and proton share the similar structure inside re and rn. And within re and rn, the conventional charge concept stops working, the same charge repelling force doesn’t exist anymore and as a result, the requirement of charge conservation is automatically removed. Whereas beyond re and rn, the potential expressions of electron and proton obey the point charge potentials as we normally understand. Therefore, the conventional charge concept can be applied and the requirement of charge conservation takes effect. Furthermore, a possible mechanism for the creations of electric monopole and magnetic monopole is discussed. In addition, to compare the particle size in micro-world, the balloon criterion is proposed. By this balloon criterion, the proton is determined about 10 times bigger than electron. From the physical picture about electron and proton described above, the stabilities of electron and proton can be explained quite well.
文摘Analysis of Pb+Pb data for net-charge fluctuations at LHC energies using the HYDJET++model is presented.The strongly intensive quantities D and Σ were used to remove the effects related to system volume fluctuations.We employed two versions of HYDJET++for the analysis.The first one is the standard or default version,whereas the second one is a modification that takes into account explicit event-by-event conservation of the electric net-charge of produced particles.The inclusion of the canonical net-charge conservation in the model allows for better description of the experimental data obtained by the ALICE and CMS Collaborations.A comparison with calculations from other models is also presented.
基金Supported by National Natural Science Foundation of China under Grant No.10947016
文摘I study the response of a particle detector coupled to quantized massless complex scalar field in four dimensional Minkowski spacetime through nonlinear Lagrangian. I find that as in the real scalar field： the particle detector will not respond when it is in inertial motion; If accelerated in its own frame reference, it does respond and feel the same temperature. But different from the real scalar field case, the detector＇s transition amplitude is concerned with particle-antiparticle creation, and the response of the detector is （1/α^2 ＋ ε^2）/24π^2 times of that in real scalar field, with 1/α the accelerator of the detector and e the energy gap between the detector＇s two energy level. It is due to the nonlinear property of the coupling Lagrangian. Whether the total charge of the system constructed by the particle detector and vacuum is conserved is also considered and analyzed.
基金supported by National Natural Science Foundation of China (NSFC-11775219, 11775222, 11505186, 11575185 and 11575186)the National Key Research and Development Program (2016YFA0400600, 2016YFA0400601 and 2016YFA0400602)+3 种基金the ITER-China Program (2015GB111003, 2014GB124005)Chinese Scholar Council (201506340103)China Postdoctoral Science Foundation (2017LH002)the GeoA lgorithmic Plasma Simulator (GAPS) Project
文摘Recent development of structure-preserving geometric particle-in-cell （PIC） algorithms for Vlasov-Maxwell systems is summarized. With the arrival of 100 petaflop and exaflop computing power, it is now possible to carry out direct simulations of multi-scale plasma dynamics based on first-principles. However, standard algorithms currently adopted by the plasma physics community do not possess the long-term accuracy and fidelity required for these large-scale simulations. This is because conventional simulation algorithms are based on numerically solving the underpinning differential （or integro-differential） equations, and the algorithms used in general do not preserve the geometric and physical structures of the systems, such as the local energy-momentum conservation law, the symplectic structure, and the gauge symmetry. As a consequence, numerical errors accumulate coherently with time and long-term simulation results are not reliable. To overcome this difficulty and to harness the power of exascale computers, a new generation of structure-preserving geometric PIC algorithms have been developed. This new generation of algorithms utilizes modem mathematical techniques, such as discrete manifolds, interpolating differential forms, and non-canonical symplectic integrators, to ensure gauge symmetry, space-time symmetry and the conservation of charge, energy-momentum, and the symplectic structure. These highly desired properties are difficult to achieve using the conventional PIC algorithms. In addition to summarizing the recent development and demonstrating practical implementations, several new results are also presented, including a structure-preserving geometric relativistic PIC algorithm, the proof of the correspondence between discrete gauge symmetry and discrete charge conservation law, and a reformulation of the explicit non-canonical symplectic algorithm for the discrete Poisson bracket using the variational approach. Numerical examples are given to verify the advantages of the structure- preserving geometric PIC algorithms in comparison with the conventional PIC methods.
基金supported by the National Natural Science Foundation of China(Grant Nos.11505036 and 11275157)partially supported by the Science Fund from the Technology Department of Guizhou Province,China(Grant No.(2016)1104)
文摘In this note, the off-shell generalized Abbott-Deser-Tekin （ADT） formalism is applied to explore the mass of Kerr- anti-de Sitter （Kerr-AdS） black holes in various dimensions within asymptotically rotating frames. The cases in four and five dimensions are explicitly investigated. It is demonstrated that the asymptotically rotating effect may make the charge non-integrable or unphysical when the asymptotic non-rotating timelike Killing vector associated with the charge is allowed to vary and the fluctuation of the metric is determined by the variation of all the mass and rotation parameters. To obtain a physically meaningful mass, it is proposed that one can let the non-rotating timelike Killing vector be fixed or perform calculations in the asymptotically static frame. The results further support that the ADT formalism is background- dependent.
基金the financial support from CSIR and UGC, New Delhi, Government of India, respectively
文摘We derive the basic canonical brackets amongst the creation and annihilation operators for a two(1 + 1)-dimensional(2D) gauge field theoretic model of an interacting Hodge theory where a U(1) gauge field(Aμ) is coupled with the fermionic Dirac fields(ψ andˉψ). In this derivation, we exploit the spin-statistics theorem, normal ordering and the strength of the underlying six infinitesimal continuous symmetries(and the concept of their generators) that are present in the theory. We do not use the definition of the canonical conjugate momenta(corresponding to the basic fields of the theory) anywhere in our whole discussion. Thus, we conjecture that our present approach provides an alternative to the canonical method of quantization for a class of gauge field theories that are physical examples of Hodge theory where the continuous symmetries(and corresponding generators) provide the physical realizations of the de Rham cohomological operators of differential geometry at the algebraic level.
文摘Data from the Large Hadron Collider on the charge balance function in Pb+Pb collisions at center-of-mass energy 2.76 TeV per nucleon pair are analyzed and interpreted within the framework of the HYDJET++model.This model allows us to qualitatively reproduce the experimentally observed centrality dependence of the balance function widths at relatively low transverse momentum intervals due to the different charge creation mechanisms in soft and hard processes.However,a fully adequate description of the balance function in these intervals implies an essential modification of the model by including exact charge conservation via the canonical rather than the grand canonical ensemble.A procedure is proposed for introducing charge correlations into the thermal model without changing other model parameters.With increasing transverse momenta,the default model results describe the exper-imental data much better because the contribution of the soft component of the model is significantly reduced in these transverse momentum intervals.In practical terms,there is a transition to a single source of charge correlations,namely,charge correlations in jets in which exact charge conservation holds at each stage.
文摘In this report,a charge preserving numerical resolution of the 1D VlasovAmp`ere equation is achieved,with a forward Semi-Lagrangian method introduced in[10].The Vlasov equation belongs to the kinetic way of simulating plasmas evolution,and is coupled with the Poisson’s equation,or equivalently under charge conservation,the Amp`ere’s one,which self-consistently rules the electric field evolution.In order to ensure having proper physical solutions,it is necessary that the scheme preserves charge numerically.B-spline deposition will be used for the interpolation step.The solving of the characteristics will be made with a Runge-Kutta 2 method and with a Cauchy-Kovalevsky procedure.
基金Supported by the DST-SERB,Government of India for funding of research project(CRG/2019/000096)。
文摘In this study,the susceptibilities of conserved charges,baryon number,charge number,and strangeness number at zero and low values of chemical potential are presented.Taylor series expansion was used to obtain results for the three-flavor Polyakov quark meson(PQM)model and the Polyakov loop extended chiral quark meanfield(PCQMF)model.Mean-field approximation was used to study quark matter with the inclusion of the isospin chemical potential,as well as the vector interactions.The effects of isospin chemical potential and vector-interactions on phase diagrams were analyzed.A comparative analysis of the two models was completed.Fluctuations of the conserved charges were enhanced in the transition temperature regime and hence provided information about the critical end point(CEP).Susceptibilities of conserved quantities were calculated by using the Taylor series method.Enhancement of fluctuations in the transition temperature neighborhood provided a clear signature of a quantum chromodynamics(QCD)critical-point.
基金Supported by the National Natural Science Foundation of China(11633001,11920101003)the Strategie Priority Rsearch Program of the Chinese Academy of Sciences(XD2000000)This was also a project funded by China Postdoctoral Science Foundation(2020M672400)。
文摘The asymptotic symmetries in the Brans-Dicke theory are analyzed using Penrose's conformal completion method,which is independent of the coordinate system used.These symmetries,indeed,include supertranslations and Lorentz transformations for an asymptotically flat spacetime.With the Wald-Zoupas formalism,“conserved charges”and fluxes of the Bondi-Metzner-Sachs algebra are computed.The scalar degree of freedom contributes only to the Lorentz boost charge,even though it plays a role in various fluxes.The flux-balance laws are further applied to constrain the displacement memory,spin memory,and center-of-mass memory effects.
基金This work was supported by the National Natural Science Foundation of China(Nos.91530118,91130003,11021101,11290142,11471310,11601032,11301234,11271171)the Provincial Natural Science Foundation of Jiangxi(Nos.20142BCB23009,20161ACB20006,20151BAB201012).
文摘In this paper,we propose a compact scheme to numerically study the coupled stochastic nonlinear Schrodinger equations.We prove that the compact scheme preserves the discrete stochastic multi-symplectic conservation law,discrete charge conservation law and discrete energy evolution law almost surely.Numerical experiments confirm well the theoretical analysis results.Furthermore,we present a detailed numerical investigation of the optical phenomena based on the compact scheme.By numerical experiments for various amplitudes of noise,we find that the noise accelerates the oscillation of the soliton and leads to the decay of the solution amplitudes with respect to time.In particular,if the noise is relatively strong,the soliton will be totally destroyed.Meanwhile,we observe that the phase shift is sensibly modified by the noise.Moreover,the numerical results present inelastic interaction which is different from the deterministic case.
