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Nonlinear Non-Equilibrium Thermodynamics Based on the Ehrenfest-Klein Model
Gleb A Zhernokleev1, Leonid M Martyushev1,2
1Technical Physics Department, Ural Federal University, 19 Mira St., 620002 Ekaterinburg, Russia.
Entropy (Basel, Switzerland)
|December 8, 2020
Summary
Nonlinear thermodynamic relations were developed for the generalized Ehrenfest-Klein model. This study confirms the transient fluctuation theorem for systems with arbitrary deviations from equilibrium, treating entropy production as a dissipation functional.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Non-equilibrium Systems
Background:
- Non-equilibrium thermodynamics describes systems far from equilibrium.
- The generalized Ehrenfest-Klein model provides a framework for studying such systems.
- Understanding entropy production is crucial for characterizing system dynamics.
Purpose of the Study:
- To construct nonlinear non-equilibrium thermodynamic relations.
- To investigate the behavior of entropy and its production over time.
- To validate the transient fluctuation theorem for the generalized Ehrenfest-Klein model.
Main Methods:
- Development of nonlinear thermodynamic relations.
- Analysis of entropy and entropy production dynamics.
- Application of the generalized Ehrenfest-Klein model.
Main Results:
- Successfully constructed nonlinear non-equilibrium thermodynamic relations.
- Characterized the time evolution of entropy and its production.
- Demonstrated the validity of the transient fluctuation theorem.
Conclusions:
- The constructed relations are applicable to systems with arbitrary deviations from equilibrium.
- The transient fluctuation theorem holds when entropy production is defined as a dissipation functional.
- This work advances the understanding of thermodynamics in non-equilibrium systems.
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