Global validity of the Master kinetic equation for hard-sphere systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F15%3A%230005479" target="_blank" >RIV/47813059:19240/15:#0005479 - isvavai.cz</a>

Výsledek na webu

<a href="http://link.springer.com/article/10.1140%2Fepjp%2Fi2015-15169-2" target="_blank" >http://link.springer.com/article/10.1140%2Fepjp%2Fi2015-15169-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjp/i2015-15169-2" target="_blank" >10.1140/epjp/i2015-15169-2</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Global validity of the Master kinetic equation for hard-sphere systems

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Global validity of the Master kinetic equation for hard-sphere systems

Popis výsledku anglicky

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

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

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

The European Physical Journal Plus

ISSN

2190-5444

e-ISSN

—

Svazek periodika

130

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

18

Strana od-do

"169-1"-"169-18"

Kód UT WoS článku

000365731600003

EID výsledku v databázi Scopus

2-s2.0-84939612064