Detailed Information on Publication Record
2018
Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1-Body PDF for Finite Hard-Sphere Systems
TESSAROTTO, Massimo and Claudio CREMASCHINIBasic 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
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10305 Fluids and plasma physics
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
RIV identification code
RIV/47813059:19240/18:A0000277
Organization unit
Faculty of Philosophy and Science in Opava
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.
Změněno: 4/4/2019 18:34, RNDr. Jan Hladík, Ph.D.
Abstract
V originále
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.