Generalized kinetic equation for far-from-equilibrium many-body systems
type: Item
instance of: scholarly article
title: Generalized kinetic equation for far-from-equilibrium many-body systems
zbMATH Open document ID: 1222.82055
author: C. A. B. Silva
author: J. Galvão Ramos
author: R. Luzzi
author: A. R. Vasconcellos
published in: Journal of Statistical Physics
publication date: 2011-08-02T00:00:00Z
review text: Dynamical processes in many-body systems described by kinetic equations usually are described by some approximations. The common feature is the fact that they involve the dynamics of single particle distributions. However, there is a need to give solid foundations to kinetic equations with the understanding of the validity of used approximations to be able to go beyond removing the restrictions being used. In this paper we have the usage of the non-equilibrium statistical ensemble formalism (NESEF) for a kinetic equation for the single particle distribution function in an open many-body system derivation. The formalism presented in this paper can be extended to deal with the so-called non-conventional situations which are associated to disordered media and complex (fractal, self-affine) structures. The paper consists of four sections. The first one is a short introduction. The second presents the NESEF formalism and the usage of a collision integral (described in Appendix A). In Section 3 we have the derivation of the NESEF-kinetic equation. Here, the reader can also find a detailed description of this equation. Section 4 gives concluding remarks.
reviewed by: Dominik Strzałka
Mathematics Subject Classification ID: 82C05
Mathematics Subject Classification ID: 82D15
Mathematics Subject Classification ID: 82C23
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 5935039
zbMATH Keywords: nonequilibrium statistical mechanics
zbMATH Keywords: kinetic theory
zbMATH Keywords: kinetic equation
zbMATH Keywords: thermohydrodynamics
MaRDI profile type: Publication
full work available at URL: s10955-011-0222-y
OpenAlex ID: W2016707997
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DOI: 10.1007/S10955-011-0222-Y
description: scientific article; zbMATH DE number 5935039