Macroscopic Irreversibility and Decay to Kinetic Equilibrium of
the 1-Body PDF for Finite Hard-Sphere Systems

J 2018

Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems

TESSAROTTO, Massimo and Claudio CREMASCHINI

Basic information

Original name

Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems

Authors

TESSAROTTO, Massimo and Claudio CREMASCHINI

Edition

Advances in Mathematical Physics, 2018, 1687-9120

Other information

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

References:

URL

Impact factor

Impact factor: 0.936

Marked to be transferred to RIV

Yes

RIV identification code

RIV/47813059:19240/18:A0000277

Organization unit

Faculty of Philosophy and Science in Opava

Keywords in English

kinetic equilibrium; hard-sphere system; statistical mechanics; Master equation

Links

GB14-37086G, research and development project. GP14-07753P, research and development project.

Changed: 4/4/2019 18:34, RNDr. Jan Hladík, Ph.D.

Abstract

In the original language

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.

Cite

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://doi.org/10.1155/2018/1931308.

@article{30316,
   author = {Tessarotto, Massimo and Cremaschini, Claudio},
   article_number = {December},
   doi = {https://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}
}

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JF  - Advances in Mathematical Physics
VL  - 2018
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SN  - 16879120
KW  - kinetic equilibrium
KW  - hard-sphere system
KW  - statistical mechanics
KW  - Master equation
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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 and 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, vol.~2018, December, p.~''1931308-1''-''1931308-19'', 19 pp. ISSN~1687-9120. Available from: https://doi.org/10.1155/2018/1931308.

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