CREMASCHINI, Claudio and Massimo TESSAROTTO. Axiomatic foundations of entropic theorems for hard-sphere systems. The European Physical Journal Plus. DE - Spolková republika Německo, 2015, vol. 130, No 5, p. "91-1"-"91-22", 22 pp. ISSN 2190-5444. Available from: https://dx.doi.org/10.1140/epjp/i2015-15091-7.
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Basic information
Original name Axiomatic foundations of entropic theorems for hard-sphere systems
Authors CREMASCHINI, Claudio and Massimo TESSAROTTO.
Edition The European Physical Journal Plus, DE - Spolková republika Německo, 2015, 2190-5444.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10300 1.3 Physical sciences
Confidentiality degree is not subject to a state or trade secret
WWW URL
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1140/epjp/i2015-15091-7
UT WoS 000354211300001
Keywords in English kinetic theory; classical dynamical system; hard-sphere system
Tags FÚ, GB14-37086G, GP14-07753P
Links GB14-37086G, research and development project. GP14-07753P, research and development project.
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 29/3/2021 14:27.
Abstract
Following the recent establishment of an exact kinetic theory describing the statistical behavior of the Boltzmann-Sinai Classical Dynamical System and realized by the Master kinetic equation, in this paper the problem is posed of the construction of related appropriate entropic theorems. The same equation is proved to warrant, in particular, an exact constant H-theorem, referred to here as Master constant H-theorem, which holds for the 1-body (i.e., kinetic) Boltzmann-Shannon entropy. The relationshipwith the customary Boltzmann H-theorem holding for the Boltzmann equation and the physical origin of the related phenomenon of macroscopic irreversibility are investigated.
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