Quantum kinetic equation for nonequilibrium dense systems

V.G. Morozov and G. Röpke

Physica A: Statistical Mechanics and its Applications, 1995, vol. 221, issue 4, 511-538

Abstract: Using the density matrix method in the form developed by Zubarev, equations of motion for nonequilibrium quantum systems with continuous short range interactions are derived which describe kinetic and hydrodynamic processes in a consistent way. The T-matrix as well as the two-particle density matrix determining the nonequilibrium collision integral are obtained in the ladder approximation including the Hartree-Fock corrections and the Pauli blocking for intermediate states. It is shown that in this approximation the total energy is conserved. The developed approach to the kinetic theory of dense quantum systems is able to reproduce the virial corrections consistent with the generalized Beth-Uhlenbeck approximation in equilibrium. The contribution of many-particle correlations to the drift term in the quantum kinetic equation for dense systems is discussed.

Keywords: Quantum kinetic theory; Nonequilibrium correlations; Nonequilibrium density matrix; Dense quantum systems; Quantum Enskog equation; Virial corrections; Energy conserving collision integral (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:221:y:1995:i:4:p:511-538

DOI: 10.1016/0378-4371(95)00234-2

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