Extremums of Entropy Production and Second Law in Rayleigh Gas
Abstract
From the previously obtained solutions of the Fokker - Planck equation for Rayleigh gas (small impurity of heavy particles in a thermostat of light particles) with sources and without them, the entropy production was calculated. In a system without source (isolated system) shown that it holds theorem of Prigogine, and in a system with sources (open system) implementation of the principle of Ziegler (MEPP) depends on the relaxation direction. In an open system entropy production is compensate by a negative production of entropy, i.e. by a negentropy production. The algebraic sum of entropy and negentropy productions is called the generalized entropy production. From the balance of entropy and negentropy productions in an open system formulated a possible variation of the second law for open systems in a form: "At the relaxation of an open system to a nonequilibrium steady state, a generalized entropy production decreases in absolute value and equal to zero in a nonequilibrium steady state." Keywords: Fokker-Planck equation, Prigogine theorem, principle of maximum entropy production, the second law, negentropy.
Keywords
Cite
@article{arxiv.1610.00499,
title = {Extremums of Entropy Production and Second Law in Rayleigh Gas},
author = {P. A. Tadjibaev and D. P. Tadjibaev},
journal= {arXiv preprint arXiv:1610.00499},
year = {2016}
}
Comments
in Russian. Negentropy production - is the negative production of positive entropy, that is, absorption of entropy. The term "negentropy production" introduced to emphasize absorption of entropy by irreversible processes