TESSAROTTO, Massimo and Claudio CREMASCHINI. Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems. Advances in Mathematical Physics. 2018, vol. 2018, December, p. "1931308-1"-"1931308-19", 19 pp. ISSN 1687-9120. Available from: https://dx.doi.org/10.1155/2018/1931308.
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Basic information
Original name Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems
Authors TESSAROTTO, Massimo (380 Italy, guarantor, belonging to the institution) and Claudio CREMASCHINI (380 Italy, belonging to the institution).
Edition Advances in Mathematical Physics, 2018, 1687-9120.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10305 Fluids and plasma physics
Country of publisher United Kingdom of Great Britain and Northern Ireland
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19240/18:A0000277
Organization unit Faculty of Philosophy and Science in Opava
Doi http://dx.doi.org/10.1155/2018/1931308
UT WoS 000453704200001
Keywords in English kinetic equilibrium; hard-sphere system; statistical mechanics; Master equation
Tags International impact, Reviewed
Links GB14-37086G, research and development project. GP14-07753P, research and development project.
Changed by Changed by: RNDr. Jan Hladík, Ph.D., učo 25379. Changed: 4/4/2019 18:34.
Abstract
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.
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