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Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems
Joint Authors
Tessarotto, Massimo
Cremaschini, Claudio
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-02
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tessarotto, Massimo& Cremaschini, Claudio. 2018. Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1119084
Modern Language Association (MLA)
Tessarotto, Massimo& Cremaschini, Claudio. Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems. Advances in Mathematical Physics No. 2018 (2018), pp.1-19.
https://search.emarefa.net/detail/BIM-1119084
American Medical Association (AMA)
Tessarotto, Massimo& Cremaschini, Claudio. Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1119084
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119084