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@article{30316,
author = {Tessarotto, Massimo and Cremaschini, Claudio},
article_number = {December},
doi = {http://dx.doi.org/10.1155/2018/1931308},
keywords = {kinetic equilibrium; hard-sphere system; statistical mechanics; Master equation},
language = {eng},
issn = {1687-9120},
journal = {Advances in Mathematical Physics},
title = {Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems},
url = {https://www.hindawi.com/journals/amp/2018/1931308/},
volume = {2018},
year = {2018}
}
TY - JOUR
ID - 30316
AU - Tessarotto, Massimo - Cremaschini, Claudio
PY - 2018
TI - Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems
JF - Advances in Mathematical Physics
VL - 2018
IS - December
SP - "1931308-1"-"1931308-19"
EP - "1931308-1"-"1931308-19"
SN - 16879120
KW - kinetic equilibrium
KW - hard-sphere system
KW - statistical mechanics
KW - Master equation
UR - https://www.hindawi.com/journals/amp/2018/1931308/
L2 - https://www.hindawi.com/journals/amp/2018/1931308/
N2 - 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.
ER -
TESSAROTTO, Massimo a Claudio CREMASCHINI. Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems. \textit{Advances in Mathematical Physics}. 2018, roč.~2018, December, s.~''1931308-1''-''1931308-19'', 19 s. ISSN~1687-9120. Dostupné z: https://dx.doi.org/10.1155/2018/1931308.
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