The increase of entropy for slow processes

✍ Scribed by J.L. Del Río-Correa

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 953 KB
• Volume: 131
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(85)90002-0

✦ Synopsis

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 markotlian. 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.