Detailed Information on Publication Record
2013
On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem
CREMASCHINI, Claudio, Marco TESSAROTTO and Massimo TESSAROTTOBasic information
Original name
On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem
Name (in English)
On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem
Authors
CREMASCHINI, Claudio, Marco TESSAROTTO and Massimo TESSAROTTO
Edition
European Physical Journal Plus, DE - Spolková republika Německo, 2013, 2190-5444
Other information
Type of outcome
Článek v odborném periodiku
Field of Study
10300 1.3 Physical sciences
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Organization unit
Institute of physics in Opava
UT WoS
000316230200008
Keywords in English
Statistical mechanics; Information theory
Tags
Tags
International impact, Reviewed
Změněno: 29/3/2021 10:05, Mgr. Pavlína Jalůvková
Abstract
V originále
In this paper the problem is posed of the formulation of the so-called ab initio approach to the statistical description of the Boltzmann-Sinai N-body classical dynamical system (CDS) formed by identical smooth hard spheres. This amounts to introducing asuitably generalized version of the axioms of Classical Statistical Mechanics. The latter involve a proper definition of the functional setting for the N-body probability density function (PDF), so that it includes also the case of the deterministic N-body PDF. In connection with this issue, a further development concerns the introduction of modified collision boundary conditions which differ from the usual ones adopted in previous literature. Both features are proved to be consistent with the validityof exact H-theorems for the N-body and 1-body PDFs, respectively. Consequences of the axiomatic approach which concern the conditions of validity of the Boltzmann kinetic equation and the Boltzmann H-theorem are investigated. In particul