The principle of maximum entropy and Boltzmann type kinetic equations
type: Item
instance of: scholarly article
title: The principle of maximum entropy and Boltzmann type kinetic equations
zbMATH Open document ID: 0639.60109
DOI: 10.1016/0034-4877(86)90051-0
author: Roman S. Ingarden
author: Andrzej Kossakowski
published in: Reports on Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: The problem of the paper is the possibility of a dynamical justification of the principle of maximum entropy in the sense of a dynamical semigroup of open systems. It has been shown that, under the assumption of a convex dynamical semigroup defined on discrete and finite probability distributions (a finite sample space), this principle cannot be realized. This is possible, however, for nonlinear dynamical semigroups for some random variables called p-collison-type variables in analogy to the Boltzmann 2-collision problem.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B05
zbMATH DE Number: 4043023
zbMATH Keywords: principle of maximum entropy
zbMATH Keywords: dynamical semigroup
zbMATH Keywords: Boltzmann 2-collision problem
MaRDI profile type: Publication
full work available at URL: 0034-4877(86)90051-0
OpenAlex ID: W1991395806
cites work: Q3294159
cites work: Q5345430
cites work: Q4169795
cites work: Q5723845
cites work: A general kinetic theory of liquids III. Dynamical properties
cites work: Q3930242
description: scientific article; zbMATH DE number 4043023