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The increase of entropy for slow processes

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  • Del Río-Correa, J.L.

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.

Suggested Citation

  • Del Río-Correa, J.L., 1985. "The increase of entropy for slow processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(2), pages 329-347.
    • Handle: RePEc:eee:phsmap:v:131:y:1985:i:2:p:329-347
    DOI: 10.1016/0378-4371(85)90002-0
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