59 research outputs found

    MICROSCOPIC APPROACH TO IRREVERSIBLE THERMODYNAMICS .2. AN EXAMPLE FROM SEMICONDUCTOR PHYSICS

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    The general theory described in the preceding article [Phys. Rev. A 43, 6622 (1991)] based on the nonequilibrium-statistical-operator method, which provides mechano-statistical foundations for phenomenological irreversible thermodynamics, is applied to a specific problem. This is the case of a highly excited plasma in a semiconductor, where fluxes of mass and energy naturally appear, as well as other higher-order fluxes, as basic variables necessary for the description of the macroscopic state of the system. A criterion for the truncation of the basic set of variables is presented. The equations of motion for the macrovariables are derived for the case of a simple model. They have the structure of nonlinear and nonlocal transport equations, which fit into a natural extension of those of linear irreversible thermodynamics. In particular, Maxwell-Cattaneo-Vernotte-type equations of extended irreversible thermodynamics are recovered, having relaxation times and transport coefficients that may be calculated from the microscopic dynamics of the system composed of averages over the nonequilibrium ensemble.43126633664

    MICROSCOPIC APPROACH TO IRREVERSIBLE THERMODYNAMICS .1. GENERAL-THEORY

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    In this paper we show how an extension of the nonequilibrium-statistical-operator method, relying upon the maximum-entropy principle set up by Jaynes [Am. J. Phys. 33, 391 (1965)], may be used to describe the time evolution of an arbitrary many-body system. The Gibbs space of the observables describing the macrostates of the system is extended to include not only the conserved variables, but additional ones whose origin is directly related to the microscopic nature of the system manifested in its Hamiltonian. This allows us to go beyond linear irreversible thermodynamics and enter into the domain of what is now known as extended irreversible thermodynamics (EIT). Transport equations for the extended basic set of macrovariables are derived, showing that the Maxwell-Cattaneo-Vernotte equations of EIT are obtained. The relaxation times and transport coefficients contained therein can be calculated from the microscopic dynamics of the system averaged over an appropriate nonequilibrium coarse-grained probability density. Other outstanding features of the methods are emphasized and related to already-established results for nonequilibrium systems.43126622663
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