Geodesic
A~mechanism of irreversibility and unbounded growth of the energy in a~model of statistical mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 1, pp. 120-129

Voir la notice de l'article provenant de la source Math-Net.Ru

A mechanism of occurrence of irreversibility is found. It is based on allowance for the relativistic factor in a mechanical system consisting of a finite number of particles interacting with one another in accordance with the law of elastic collision and moving in a container of fixed volume with a natural law of reflection from the container walls. A new concept of thermodynamic entropy of the system is introduced, and it is shown that for fairly general conditions both the new entropy and the Gibbs entropy for this system of particles increases unboundedly with the time when the relativistic factor is taken into account, whereas when it is not the new entropy is constant, not dependent on the time, while the Gibbs entropy fluctuates in a bounded range as the time increases without limit. It is also shown that in the relativistic case the energy of all the particles tends to infinity exponentially with the time. 
@article{TMF_1991_86_1_a9,
     author = {L. D. Pustyl'nikov},
     title = {A~mechanism of irreversibility and unbounded growth of the energy in a~model of statistical mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {120--129},
     publisher = {mathdoc},
     volume = {86},
     number = {1},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_1_a9/}
}
TY  - JOUR
AU  - L. D. Pustyl'nikov
TI  - A~mechanism of irreversibility and unbounded growth of the energy in a~model of statistical mechanics
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1991
SP  - 120
EP  - 129
VL  - 86
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1991_86_1_a9/
LA  - ru
ID  - TMF_1991_86_1_a9
ER  - 
%0 Journal Article
%A L. D. Pustyl'nikov
%T A~mechanism of irreversibility and unbounded growth of the energy in a~model of statistical mechanics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1991
%P 120-129
%V 86
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1991_86_1_a9/
%G ru
%F TMF_1991_86_1_a9
L. D. Pustyl'nikov. A~mechanism of irreversibility and unbounded growth of the energy in a~model of statistical mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 1, pp. 120-129. http://geodesic.mathdoc.fr/item/TMF_1991_86_1_a9/