Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F18%3AA0000277" target="_blank" >RIV/47813059:19240/18:A0000277 - isvavai.cz</a>
Result on the web
<a href="https://www.hindawi.com/journals/amp/2018/1931308/" target="_blank" >https://www.hindawi.com/journals/amp/2018/1931308/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2018/1931308" target="_blank" >10.1155/2018/1931308</a>
Alternative languages
Result language
angličtina
Original language name
Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems
Original language description
The conditions for the occurrence of the so-called macroscopic irreversibility property and the related phenomenon of decay to kinetic equilibrium which may characterize the 1-body probability density function (PDF) associated with hard-sphere systems are investigated. The problem is set in the framework of the axiomatic 'ab initio' theory of classical statistical mechanics developed recently and the related establishment of an exact kinetic equation realized by the Master equation for the same kinetic PDF. As shown in the paper the task involves the introduction of a suitable functional of the 1-body PDF, identified here with the Master kinetic information. It is then proved that, provided the same PDF is prescribed in terms of suitably smooth, i.e., stochastic, solution of the Master kinetic equation, the two properties indicated above are indeed realized.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10305 - Fluids and plasma physics (including surface physics)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Mathematical Physics
ISSN
1687-9120
e-ISSN
1687-9139
Volume of the periodical
2018
Issue of the periodical within the volume
December
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
„1931308-1“-„1931308-19“
UT code for WoS article
000453704200001
EID of the result in the Scopus database
2-s2.0-85058900314