The Master kinetic equation for the statistical treatment of the Boltzmann-Sinai classical dynamical system
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F14%3A%230005082" target="_blank" >RIV/47813059:19240/14:#0005082 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1140%2Fepjp%2Fi2014-14157-4" target="_blank" >http://link.springer.com/article/10.1140%2Fepjp%2Fi2014-14157-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjp/i2014-14157-4" target="_blank" >10.1140/epjp/i2014-14157-4</a>
Alternative languages
Result language
angličtina
Original language name
The Master kinetic equation for the statistical treatment of the Boltzmann-Sinai classical dynamical system
Original language description
In this investigation, exact particular realizations are sought for the microscopic statistical description which is associated with the classical dynamical system (CDS) formed by N identical smooth hard spheres subject to elastic collisions (S_N-CDS). The problem is posed in the framework of the ab initio statistical description of S_N-CDS recently developed. It is shown that the Liouville equation associated with S_N-CDS admits an exact particular solution for the N-body probability density function (PDF). This is factorized in terms of the i-th particle 1-body PDF (for all i = 1, N) via suitable weighting factors, which are denoted here as particle occupation coefficients. The latter are found to depend functionally only on the 1-body PDFs which areassociated with each of the remaining particles belonging to S_N-CDS. Furthermore, the 1-body PDF is proved to obey a well-defined statistical equation, referred to here as Master kinetic equation. This is an exact kinetic equation which
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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
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
129
Issue of the periodical within the volume
7
Country of publishing house
DE - GERMANY
Number of pages
33
Pages from-to
"157 - 1"-"157 - 33"
UT code for WoS article
000339959500001
EID of the result in the Scopus database
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