Modified BBGKY hierarchy for the hard-sphere system

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F14%3A%230005081" target="_blank" >RIV/47813059:19240/14:#0005081 - isvavai.cz</a>

Výsledek na webu

<a href="http://link.springer.com/article/10.1140%2Fepjp%2Fi2014-14243-7" target="_blank" >http://link.springer.com/article/10.1140%2Fepjp%2Fi2014-14243-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjp/i2014-14243-7" target="_blank" >10.1140/epjp/i2014-14243-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Modified BBGKY hierarchy for the hard-sphere system

Popis výsledku v původním jazyce

In this paper a statistical approach is formulated for classical N-body systems formed by smooth hard spheres. Based on the emerging new axiomatic approach to Classical Statistical Mechanics recently developed, modified collision boundary conditions forthe N-body probability density are introduced, which apply also to dense or locally dense hard-sphere systems. As a result, a modified form is determined for the BBGKY hierarchy, which is characterized by a new representation for the s-body collision operator. The same hierarchy, obtained here in differential form starting from the differential Liouville equation, is found to admit both stochastic and deterministic particular solutions. As an application, in the Boltzmann-Grad limit the hierarchy is shown to recover the ordinary Boltzmann equation holding in the case of rarefied gases. Comparison with literature and physical implications of the theory are pointed out.

Název v anglickém jazyce

Modified BBGKY hierarchy for the hard-sphere system

Popis výsledku anglicky

In this paper a statistical approach is formulated for classical N-body systems formed by smooth hard spheres. Based on the emerging new axiomatic approach to Classical Statistical Mechanics recently developed, modified collision boundary conditions forthe N-body probability density are introduced, which apply also to dense or locally dense hard-sphere systems. As a result, a modified form is determined for the BBGKY hierarchy, which is characterized by a new representation for the s-body collision operator. The same hierarchy, obtained here in differential form starting from the differential Liouville equation, is found to admit both stochastic and deterministic particular solutions. As an application, in the Boltzmann-Grad limit the hierarchy is shown to recover the ordinary Boltzmann equation holding in the case of rarefied gases. Comparison with literature and physical implications of the theory are pointed out.

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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

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

129

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

23

Strana od-do

"243 - 1"-"243 - 23"

Kód UT WoS článku

000344868800002

EID výsledku v databázi Scopus

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