0805.0944 (Andrzej Trzesowski)

On the dynamics and thermodynamics of small Markov-type material systems    [PDF]

Andrzej Trzesowski

The collective properties of small material systems considered as semidynamical systems revealing the Markov-type irreversible evolution, are investigated. It is shown that these material systems admit their treatment as thermodynamic systems in diathermal and isothermal conditions. A kinetic equation describing statistical regularities of the Markov-type material systems and constrained by the compatibility condition with the first and second laws of thermodynamics and with the relaxation postulate, is proposed. The influence of external parameters on the Gibbs distribution of small material systems is discussed. It is pointed out that the proposed method of the description of collective properties of these systems is consistent with the so-called Prigogine's selection rule for irreversible dynamical processes.

View original: http://arxiv.org/abs/0805.0944