2015
Global validity of the Master kinetic equation for hard-sphere systems
CREMASCHINI, Claudio, Massimo TESSAROTTO, Claudio ASCI, Alessandro SORANZO, Gino TIRONI et. al.Základní údaje
Originální název
Global validity of the Master kinetic equation for hard-sphere systems
Autoři
CREMASCHINI, Claudio, Massimo TESSAROTTO, Claudio ASCI, Alessandro SORANZO a Gino TIRONI
Vydání
The European Physical Journal Plus, DE - Spolková republika Německo, 2015, 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
000365731600003
Klíčová slova anglicky
kinetic theory; statistical mechanics; Boltzmann-Sinai classical dynamical systems (CDS)
Štítky
Návaznosti
GB14-37086G, projekt VaV. GP14-07753P, projekt VaV.
Změněno: 29. 3. 2021 14:18, Mgr. Pavlína Jalůvková
Anotace
V originále
Following the recent establishment of an exact kinetic theory realized by the Master kinetic equation which describes the statistical behavior of the Boltzmann-Sinai Classical Dynamical System (CDS), in this paper the problem is posed of the constructionof the related global existence and regularity theorems. For this purpose, based on the global prescription of the same CDS for arbitrary single-and multiple-collision events, first global existence is extablished for the N-body Liouville equation whichis written in Lagrangian differential and integral forms. This permits to reach the proof of global existence both of generic N-body probability density functions (PDF) as well as of particular solutions which maximize the statistical Boltzmann-Shannonentropy and are factorized in terms of the corresponding 1-body PDF. The latter PDF is shown to be uniquely defined and to satisfy the Master kinetic equation globally in the extended 1-body phase space. Implications concerning the global