Using classical time-average approximation, critical temperature and condensed solution in holographic pwave superconductors with a time-dependent source is investigated in probe limit. By choosing suitable gauge fiel...Using classical time-average approximation, critical temperature and condensed solution in holographic pwave superconductors with a time-dependent source is investigated in probe limit. By choosing suitable gauge field ansatz, the equation of motion for a vector field is presented. With the help of the Sturm-Liouville equation, concrete values of phase transition temperature and criticaJ frequency are obtained. It is shown that the phase transition temperature enhances as the frequency of the time-dependent source raises in high frequency regime, which means that the operators on the boundary field theory will be easier to condense.展开更多
Since Gibbs synthesized a general equilibrium statistical ensemble theory, many theorists have attempted to generalized the Gibbsian theory to non-equilibrium phenomena domain, however the status of the theory of non-...Since Gibbs synthesized a general equilibrium statistical ensemble theory, many theorists have attempted to generalized the Gibbsian theory to non-equilibrium phenomena domain, however the status of the theory of non-equilibrium phenomena can not be said as firm as well established as the Gibbsian ensemble theory. In this work, we present a framework for the non-equilibrium statistical ensemble formalism based on a subdynamic kinetic equation (SKE) rooted from the Brussels-Austin school and followed by some up-to-date works. The constructed key is to use a similarity transformation between Gibbsian ensembles formalism based on Liouville equation and the subdynamic ensemble formalism based on the SKE. Using this formalism, we study the spin-Boson system, as cases of weak coupling or strongly coupling, and obtain the reduced density operators for the Canonical ensembles easily.展开更多
Chern-Simons theories exhibit many interesting and important properties.Chern-Simons models acquire dynamics via coupling to other fields, and get multifarious gauge theory, all of which has vortice solutions, these s...Chern-Simons theories exhibit many interesting and important properties.Chern-Simons models acquire dynamics via coupling to other fields, and get multifarious gauge theory, all of which has vortice solutions, these static solutions can be obtained when their Hamiltonian was minimal. R. Jackiw and S-Y. Pi considered a gauged, nonliner Schodinger equation in two spatial dimensions, can describe nonrelativistic matter interacting with Chern-Simons gauge fields. Then they find explicit static, self-dual solutions which satisfies the Liouville equation.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos. 10773002,10875012,and 11175019supported by the Fundamental Research Funds for the Central Universities under Grant No. 105116
文摘Using classical time-average approximation, critical temperature and condensed solution in holographic pwave superconductors with a time-dependent source is investigated in probe limit. By choosing suitable gauge field ansatz, the equation of motion for a vector field is presented. With the help of the Sturm-Liouville equation, concrete values of phase transition temperature and criticaJ frequency are obtained. It is shown that the phase transition temperature enhances as the frequency of the time-dependent source raises in high frequency regime, which means that the operators on the boundary field theory will be easier to condense.
基金Supported by the National Natural Science Foundation of China under Grant No. 60874087the Grants from Wuhan University of Technology,in Canada by NSERC, MITACS, CIPI, MMO, and CITO
文摘Since Gibbs synthesized a general equilibrium statistical ensemble theory, many theorists have attempted to generalized the Gibbsian theory to non-equilibrium phenomena domain, however the status of the theory of non-equilibrium phenomena can not be said as firm as well established as the Gibbsian ensemble theory. In this work, we present a framework for the non-equilibrium statistical ensemble formalism based on a subdynamic kinetic equation (SKE) rooted from the Brussels-Austin school and followed by some up-to-date works. The constructed key is to use a similarity transformation between Gibbsian ensembles formalism based on Liouville equation and the subdynamic ensemble formalism based on the SKE. Using this formalism, we study the spin-Boson system, as cases of weak coupling or strongly coupling, and obtain the reduced density operators for the Canonical ensembles easily.
基金Supported by Chinese Academy of Sciences Knowledge Innovation Project (KJCX2-SW-No2)National Natural Science Foundation of China(1043508010575123)
文摘Chern-Simons theories exhibit many interesting and important properties.Chern-Simons models acquire dynamics via coupling to other fields, and get multifarious gauge theory, all of which has vortice solutions, these static solutions can be obtained when their Hamiltonian was minimal. R. Jackiw and S-Y. Pi considered a gauged, nonliner Schodinger equation in two spatial dimensions, can describe nonrelativistic matter interacting with Chern-Simons gauge fields. Then they find explicit static, self-dual solutions which satisfies the Liouville equation.
