Nonequilibrium entropy of Markov processes

M. HOYUELOS

Punta del Este, Uruguay

Congreso; MEDYFINOL 2008, Meeting on Nonequilibrium Statistical Mechanics and Nonlinear Physics; 2008

The Boltzmann's entropy of a continuous Markov process at local thermal equilibrium, in contact with a reservoir at temperature T, is analyzed. Assuming that a stationary equilibrium state exists, it is demonstrated that the total entropy always increases until equilibrium is reached. Assuming detailed balance, an equation for the entropy density is derived, from which it is possible to obtain expressions for the transport coefficients as functions of the diffusion matrix of a Fokker-Planck equation. Known relations among transport coefficients are derived.