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.
Highlights
The behavior of the entropy in nonequilibrium processes has become of interest immediately after the introduction of this function of state
The aim of this work is to develop nonlinear nonequilibrium thermodynamics based on the generalized Ehrenfest–Klein model and to apply it to study the time evolution of the entropy at arbitrary deviations from equilibrium, as well as to test the validity of the fluctuation theorem for this model
For a number of systems described by the nonlinear Langevin equation, the authors of [21] showed that the identification of the dissipation functional with the entropy production in the transient fluctuation theorem leads to invalid results
Summary
The behavior of the entropy in nonequilibrium processes has become of interest immediately after the introduction of this function of state. The behavior of the entropy near equilibrium is well studied within linear nonequilibrium thermodynamics This theory, which arose initially as a generalization of experimental facts, is firmly included in the foundation of modern science [5,6,7,8,9,10]. It is extremely interesting and important to test and match the foundations of nonlinear nonequilibrium thermodynamics with classical nonlinear statistical models One such model was proposed at the beginning of the 20th century by Paul and Tatiana Ehrenfest [14]. The aim of this work is to develop nonlinear nonequilibrium thermodynamics based on the generalized Ehrenfest–Klein model and to apply it to study the time evolution of the entropy at arbitrary deviations from equilibrium, as well as to test the validity of the fluctuation theorem for this model
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