Nonlinear Non-Equilibrium Thermodynamics Based on the Ehrenfest–Klein Model

Abstract

Nonlinear non-equilibrium thermodynamic relations have been constructed based on the generalized Ehrenfest−Klein model. Using these relations, the behavior of the entropy and its production in time at arbitrary deviations from equilibrium has been studied. It has been shown that the transient fluctuation theorem is valid for this model if a dissipation functional is treated as the thermodynamic entropy production.

Keywords

• entropy
• urn model
• fluctuation theorem