On the Boltzmann-Grad Limit for Smooth 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%3AA0000273" target="_blank" >RIV/47813059:19240/18:A0000273 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10701-018-0144-5" target="_blank" >https://link.springer.com/article/10.1007%2Fs10701-018-0144-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10701-018-0144-5" target="_blank" >10.1007/s10701-018-0144-5</a>
Alternative languages
Result language
angličtina
Original language name
On the Boltzmann-Grad Limit for Smooth Hard-Sphere Systems
Original language description
The problem is posed of the prescription of the so-called Boltzmann-Grad limit operator (L_{BG}) for the N-body system of smooth hard-spheres which undergo unary, binary as well as multiple elastic instantaneous collisions. It is proved, that, despite the non-commutative property of the operator L_{BG}, the Boltzmann equation can nevertheless be uniquely determined. In particular, consistent with the claim of Uffink and Valente (Found Phys 45:404, 2015) that there is 'no time-asymmetric ingredient' in its derivation, the Boltzmann equation is shown to be time-reversal symmetric. The proof is couched on the "ab initio" axiomatic approach to the classical statistical mechanics recently developed (Tessarotto et al. in Eur Phys J Plus 128:32, 2013). Implications relevant for the physical interpretation of the Boltzmann H-theorem and the phenomenon of decay to kinetic equilibrium are pointed out.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10305 - Fluids and plasma physics (including surface physics)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
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
Foundations of Physics
ISSN
0015-9018
e-ISSN
1572-9516
Volume of the periodical
48
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
24
Pages from-to
271-294
UT code for WoS article
000427593500001
EID of the result in the Scopus database
2-s2.0-85042218780