A Simple Derivation of Crooks Relation

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International Journal of Thermodynamics
Volume:16 Issue:3
A Simple Derivation of Crooks Relation

A Simple Derivation of Crooks Relation

Authors : Farid CHEJNE JANNA, Fadl MOUKALLED, Carlos GÓMEZ

Pages : 97-101

View : 16 | Download : 7

Publication Date : 2013-09-05

Article Type : Research Paper

Abstract :The link between properties of a system at equilibrium, in particular free energy difference, to the fluctuations in the work performed during non-equilibrium process is called Crooks relation. This relation, which is a measure of the grade of irreversibility of a process, was elegantly derived based on the equations of motion for a set of particles along with the formal solution of the evolution equation using a distribution function, both solved in a classical and a stochastic way. This technical note, reports on a simple derivation of Crooks formula based on the energy balance and entropy generation in a system undergoing a process in which fluctuations are not neglected.
Keywords : Crooks Relation, fluctuations, first and second laws of thermodynamics

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