Non-equilibrium ensemble method: A quantum-statistical-mechanical approach

Abstract

The non-equilibrium ensembles method has been applied to Boltzmann quantum-kinetic equation. We used the quantum-kinetic equation governing the density matrix, which has been proposed by Ogul and Eren, <i style="">J Chem Phys</i>, 105 (1996) 7664. The non-equilibrium quantum-mechanical ensemble can be constructed in terms of non-equilibrium entropy, Boltzmann entropy, constrained by the quantum Boltzmann equation as a dynamical equation of motion, which has governed the time evolution of non-equilibrium density matrix. The quantum-mechanically non-equilibrium partition function has been obtained. The conjuncture with the traditional irreversible thermodynamics has been shown.