J 2015

Axiomatic foundations of entropic theorems for hard-sphere systems

CREMASCHINI, Claudio and Massimo TESSAROTTO

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10300 1.3 Physical sciences

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Organization unit

Institute of physics in Opava

UT WoS

000354211300001

Keywords in English

kinetic theory; classical dynamical system; hard-sphere system

Links

GB14-37086G, research and development project. GP14-07753P, research and development project.
Změněno: 29/3/2021 14:27, Mgr. Pavlína Jalůvková

Abstract

V originále

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.