On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem
Original language description
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
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
EUROPEAN PHYSICAL JOURNAL PLUS
ISSN
2190-5444
e-ISSN
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Volume of the periodical
128
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
20
Pages from-to
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UT code for WoS article
000316230200008
EID of the result in the Scopus database
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