The "footprints" of irreversibilityA. Gomez-Marin1, J. M. R. Parrondo2 and C. Van den Broeck3
1 Facultat de Fisica, Universitat de Barcelona - Diagonal 647, Barcelona, Spain, EU
2 Departamento de Física Atómica, Molecular y Nuclear and , Universidad Complutense 28040 Madrid, Spain, EU
3 Hasselt University - B-3590 Diepenbeek, Belgium, EU
received 6 March 2008; accepted in final form 8 April 2008; published June 2008
published online 22 May 2008
We reformulate the result for the entropy production given in Phys. Rev. Lett., 98 (2007) 080602 in terms of the relative entropy of microscopic trajectories. By a combination with the Crook's theorem, we identify the path variables that are sufficient to fully identify irreversibility. We show that work saturates the relative entropy, and derive the entropy production for stochastic descriptions.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
05.20.-y - Classical statistical mechanics.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
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