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

Gleb A Zhernokleev; Leonid M Martyushev

doi:10.3390/e22030293

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

Entropy (Basel). 2020 Mar 2;22(3):293. doi: 10.3390/e22030293.

Authors

Gleb A Zhernokleev¹, Leonid M Martyushev^{1

2}

Affiliations

¹ Technical Physics Department, Ural Federal University, 19 Mira St., 620002 Ekaterinburg, Russia.
² Institute of Industrial Ecology, Russian Academy of Sciences, 20 S. Kovalevskaya St., 620219 Ekaterinburg, Russia.

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; fluctuation theorem; urn model.