The increase of entropy for slow processes

J.L. Del Río-Correa

Physica A: Statistical Mechanics and its Applications, 1985, vol. 131, issue 2, 329-347

Abstract: We obtain the increase of entropy law under two assumptions: the first one concerned with the initial distribution function in phase space, the second one stating that the stochastic process which characterizes the time evolution of the macroscopic system is a slow one. We show that with these assumptions the stochastic process is quasi-markoffian when we study the time relaxation of the system which is initially in a constrained equilibrium state. When we are interested in the fluctuations around the equilibrium state we can also show that the process is markoffian. We follow the Yosida-Kubo method to obtain several generalized H-theorems, apply these theorems to the Gibbs-Ehrenfest non-equilibrium entropy and to Boltzmann's entropy definition for aged systems and obtain the increase of entropy law for slow processes.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:131:y:1985:i:2:p:329-347

DOI: 10.1016/0378-4371(85)90002-0

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