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Entropy 2013, 15(5), 1503-1515; doi:10.3390/e15051503
Article

Time Reversibility, Correlation Decay and the Steady State Fluctuation Relation for Dissipation

1,2,* , 2
, 3
 and 4,5
1 Australian Institute of Bioengineering and Nanotechnology and School of Chemistry and Molecular Biosciences, The University of Queensland, Brisbane, QLD 4072, Australia 2 Queensland Micro- and Nanotechnology Centre and School of Biomolecular and Physical Sciences, Griffth University, Brisbane, QLD 4111, Australia 3 Research School of Chemistry, Australian National University, Canberra, ACT 0200, Australia 4 Dipartimento di Scienze Matematiche, Politecnico di Torino, Torino 10129, Italy 5 INFN, Sezione di Torino, Via P. Giuria 1, Torino 10125, Italy
* Author to whom correspondence should be addressed.
Received: 4 March 2013 / Revised: 17 April 2013 / Accepted: 19 April 2013 / Published: 25 April 2013
(This article belongs to the Special Issue Maximum Entropy Production)
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Abstract

Steady state fluctuation relations for nonequilibrium systems are under intense investigation because of their important practical implications in nanotechnology and biology. However the precise conditions under which they hold need clarification. Using the dissipation function, which is related to the entropy production of linear irreversible thermodynamics, we show time reversibility, ergodic consistency and a recently introduced form of correlation decay, called T-mixing, are sufficient conditions for steady state fluctuation relations to hold. Our results are not restricted to a particular model and show that the steady state fluctuation relation for the dissipation function holds near or far from equilibrium subject to these conditions. The dissipation function thus plays a comparable role in nonequilibrium systems to thermodynamic potentials in equilibrium systems.
Keywords: steady state fluctuations; dissipation; nonequilibrium molecular dynamics simulation; entropy production steady state fluctuations; dissipation; nonequilibrium molecular dynamics simulation; entropy production
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Searles, D.J.; Johnston, B.M.; Evans, D.J.; Rondoni, L. Time Reversibility, Correlation Decay and the Steady State Fluctuation Relation for Dissipation. Entropy 2013, 15, 1503-1515.

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