Detailed Information on Publication Record
2014
The Master kinetic equation for the statistical treatment of the Boltzmann-Sinai classical dynamical system
CREMASCHINI, Claudio and Massimo TESSAROTTOBasic information
Original name
The Master kinetic equation for the statistical treatment of the Boltzmann-Sinai classical dynamical system
Authors
CREMASCHINI, Claudio and Massimo TESSAROTTO
Edition
European Physical Journal Plus, DE - Spolková republika Německo, 2014, 2190-5444
Other information
Language
English
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
000339959500001
Keywords in English
Enskog kinetic equation; Boltzmann-Sinai system
Tags
Tags
International impact, Reviewed
Změněno: 29/3/2021 10:50, Mgr. Pavlína Jalůvková
Abstract
V originále
In this investigation, exact particular realizations are sought for the microscopic statistical description which is associated with the classical dynamical system (CDS) formed by N identical smooth hard spheres subject to elastic collisions (S_N-CDS). The problem is posed in the framework of the ab initio statistical description of S_N-CDS recently developed. It is shown that the Liouville equation associated with S_N-CDS admits an exact particular solution for the N-body probability density function (PDF). This is factorized in terms of the i-th particle 1-body PDF (for all i = 1, N) via suitable weighting factors, which are denoted here as particle occupation coefficients. The latter are found to depend functionally only on the 1-body PDFs which areassociated with each of the remaining particles belonging to S_N-CDS. Furthermore, the 1-body PDF is proved to obey a well-defined statistical equation, referred to here as Master kinetic equation. This is an exact kinetic equation which