2014
The Master kinetic equation for the statistical treatment of the Boltzmann-Sinai classical dynamical system
CREMASCHINI, Claudio a Massimo TESSAROTTOZákladní údaje
Originální název
The Master kinetic equation for the statistical treatment of the Boltzmann-Sinai classical dynamical system
Autoři
CREMASCHINI, Claudio a Massimo TESSAROTTO
Vydání
European Physical Journal Plus, DE - Spolková republika Německo, 2014, 2190-5444
Další údaje
Jazyk
angličtina
Typ výsledku
Článek v odborném periodiku
Obor
10300 1.3 Physical sciences
Utajení
není předmětem státního či obchodního tajemství
Odkazy
Organizační jednotka
Fyzikální ústav v Opavě
UT WoS
000339959500001
Klíčová slova anglicky
Enskog kinetic equation; Boltzmann-Sinai system
Štítky
Příznaky
Mezinárodní význam, Recenzováno
Změněno: 29. 3. 2021 10:50, Mgr. Pavlína Jalůvková
Anotace
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