Analysis of entropy production in finitely slow processes between nonequilibrium steady states

Abstract

We investigate entropy production in finitely slow transitions between nonequilibrium steady states in Markov jump processes using the improved adiabatic approximation method proposed by Takahashi, Fujii, Hino and Hayakawa [1]. This method provides systematic improvement of the adiabatic approximation on infinitely slow transitions from which we obtain nonadiabatic corrections and has a close relationship with the slow driving perturbation [2, 3]. We analyze two types of excess entropy production of Sagawa and Hayakawa [4] and Hatano and Sasa [5] as examples, and confirm that the leading adiabatic contribution reproduces the known results, and then obtain nonadiabatic corrections written in terms of thermodynamic metrics defined in protocol parameter spaces. We also numerically study the resulting excess entropy production in a two-state system.

14 pages, 4 figures. v2:a reference added, a footnote added

References in corpus (7)

• Integral fluctuation theorem for the housekeeping heat
• Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• Geometric decomposition of entropy production into excess, housekeeping and coupling parts
• Geometrical Formulation of Adiabatic Pumping as a Heat Engine
• Full counting statistics and fluctuation-dissipation relation for periodically driven two-state systems
• Asymptotic expansion of the solution of the master equation and its application to the speed limit