On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F13%3A%230004785" target="_blank" >RIV/47813059:19240/13:#0004785 - isvavai.cz</a>

Výsledek na webu

<a href="http://link.springer.com/article/10.1140%2Fepjp%2Fi2013-13032-2" target="_blank" >http://link.springer.com/article/10.1140%2Fepjp%2Fi2013-13032-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjp/i2013-13032-2" target="_blank" >10.1140/epjp/i2013-13032-2</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

—

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

EUROPEAN PHYSICAL JOURNAL PLUS

ISSN

2190-5444

e-ISSN

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Svazek periodika

128

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

20

Strana od-do

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Kód UT WoS článku

000316230200008

EID výsledku v databázi Scopus

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