The present paper gives a brief introduction to the generalized canonical statistical operator used by Robertson and suitable for nonlinear range far away from the equilibrium state and proposes an entropy expression of non-equilibrium as well.
The present paper gives a brief introduction to the generalized canonical statistical operator used by Robertson and suitable for nonlinear range far away from the equilibrium state and proposes an entropy expression of non-equilibr- ium as well.
The nonequilibrium statistical operator (NSO) of the system is constructed and a series of macroscopic equations for its particle number, momentum, energy, force aad entropy etc. are derived.
Based on Liouville equation,this paper discusses the universal forms of distribution functions and statisticaloperators which essentially appear in the classical systems and quantum systems when they are in equilibriumstates. We take them as examples for listing the microcanonical distribution,the canonical distribution and thegrand canonical distribution for illustrating the idea.
Using the method of nonequilibrium statistical density operator, we studied the energy transport of the Heisenberg magnetic fluid. The influence of an applied magnetic field on the energy transport was discussed, and the average value of the energy flux was calculated in the presence of the uniform and nonuniform applied magnetic fields.
The process of evaporation of liquid droplets is described by the nonequilibrium statistical operator method.
The comparison of the S-matrix approach with the "nonstationary statistical operator" approach of Zubarev is considered.
A theory of nonresonant acoustic absorption in Ising magnets is constructed by the nonequilibrium statistical operator method.
Using linear response theory, the effect of electron-atom scattering on the electrical conductivity of a partially ionized hydrogen plasma is studied in the relevant statistical operator approximation.
The Liouville-von Neumann equation and a nonequilibrium statistical operator were used to derive a kinetic equation for photons that interact with nonrelativistic electrons in a constant electric field.
The generating functional approach to Green's functions in the thermal equilibrium is applied to explore the geometrical origin of the temperatures of the quantum fields in the Rindler spacetime and black hole spacetimes. It is shown that under the transformation from Minkowski space to the Rindler space the path integral representation for the Euclidean generating functionals of Green's functions at zero temperature would transform into the corresponding ones of the quantum fields at a certain finite temperature,...
The generating functional approach to Green's functions in the thermal equilibrium is applied to explore the geometrical origin of the temperatures of the quantum fields in the Rindler spacetime and black hole spacetimes. It is shown that under the transformation from Minkowski space to the Rindler space the path integral representation for the Euclidean generating functionals of Green's functions at zero temperature would transform into the corresponding ones of the quantum fields at a certain finite temperature, and the Minkowski vacuum state would have the same properties as that of the quantum mixed state at that temperature. All thermal Green's functions for the mixed state are given. Similar results would be obtained for the Schwarzschild, the Reissner-Nordstrom and the Kerr black holes and whereupon the Hawking temperature for the black holes would have geometrical origin as well as that in the Eindler spacetime. The various density operators of the mixed states at the Hawking temperature for the black hole spacetimes are specified.
A detailed discussion on nonequilibrium multicomponent quantum fluids in the presence of external fields is presented. The nonequilibrium statistical operator (NSO) of the system is constructed and a series of macroscopic equations for its particle number, momentum, energy, force aad entropy etc. are derived. It is pointed out that the second law of thermodynamics is valid for this system. Relations between two groups of transport coefficients are established. The influences of the external fields on different...
A detailed discussion on nonequilibrium multicomponent quantum fluids in the presence of external fields is presented. The nonequilibrium statistical operator (NSO) of the system is constructed and a series of macroscopic equations for its particle number, momentum, energy, force aad entropy etc. are derived. It is pointed out that the second law of thermodynamics is valid for this system. Relations between two groups of transport coefficients are established. The influences of the external fields on different kinds of processes taking place within this system are also discussed.
The present paper gives a brief introduction to the generalized canonical statistical operator used by Robertson and suitable for nonlinear range far away from the equilibrium state and proposes an entropy expression of non-equilibr- ium as well.By using chiefly the generalized canonical statistical operator two important laws have been simply and cloarlyderived in thermodynamics on the basis of a suppositicn of local equilibrium only:the theorem of minimum ent- ropy production and the expression of excess entropy...
The present paper gives a brief introduction to the generalized canonical statistical operator used by Robertson and suitable for nonlinear range far away from the equilibrium state and proposes an entropy expression of non-equilibr- ium as well.By using chiefly the generalized canonical statistical operator two important laws have been simply and cloarlyderived in thermodynamics on the basis of a suppositicn of local equilibrium only:the theorem of minimum ent- ropy production and the expression of excess entropy criterion.
统计算符
statistical operator
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