Thermodynamic transformations of nonequilibrium states

Abstract

We consider a macroscopic system in contact with boundary reservoirs and/or under the action of an external field. We discuss the case in which the external forcing depends explicitly on time and drives the system from a nonequilibrium state to another one. In this case the amount of energy dissipated along the transformation becomes infinite when an unbounded time window is considered. Following the general proposal by Oono and Paniconi and using results of the macroscopic fluctuation theory, we give a natural definition of a renormalized work. We then discuss its thermodynamic relevance by showing that it satisfies a Clausius inequality and that quasi static transformations minimize the renormalized work. In addition, we connect the renormalized work to the quasi potential describing the fluctuations in the stationary nonequilibrium ensemble. The latter result provides a characterization of the quasi potential that does not involve rare fluctuations.

References in corpus (4)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Fluctuations and response of nonequilibrium states
• Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes

Cited by in corpus (27)

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• Exact equalities and thermodynamic relations for nonequilibrium steady states
• Weak additivity principle for current statistics in d-dimensions
• On the use of stochastic differential geometry for non-equilibrium thermodynamics modeling and control
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• Entropy as Noether charge for quasistatic gradient flow
• A correction to the hydrodynamic limit of boundary driven exclusion processes in a super-diffusive time scale
• Non-additive large deviations function for the particle densities of driven systems in contact
• Noether's theorem applied to GENERIC
• Work and heat exchanged during sudden quenches of strongly coupled quantum systems
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