Geometrical Expression of Excess Entropy Production

Abstract

We derive a geometrical expression of the excess entropy production for quasi-static transitions between nonequilibrium steady states of Markovian jump processes, which can be exactly applied to nonlinear and nonequilibrium situations. The obtained expression is geometrical; the excess entropy production depends only on a trajectory in the parameter space, analogous to the Berry phase in quantum mechanics. Our results imply that vector potentials are needed to construct thermodynamics of nonequilibrium steady states.

References in corpus (12)

• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Integral fluctuation theorem for the housekeeping heat
• Directed flow in non-adiabatic stochastic pumps
• Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• An expression for stationary distribution in nonequilibrium steady state
• A meaningful expansion around detailed balance
• Entropy and Nonlinear Nonequilibrium Thermodynamic Relation for Heat Conducting Steady States
• Variational formula for experimental determination of high-order correlations of current fluctuations in driven systems
• Approximate thermodynamic structure for driven lattice gases in contact
• Monotone return to steady nonequilibrium
• Time-dependent corrections to effective rate and event statistics in Michaelis-Menten kinetics

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