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Time Reversibility, Correlation Decay and the Steady State Fluctuation Relation for Dissipation
Australian Institute of Bioengineering and Nanotechnology and School of Chemistry and Molecular Biosciences, The University of Queensland, Brisbane, QLD 4072, Australia
Queensland Micro- and Nanotechnology Centre and School of Biomolecular and Physical Sciences, Griffth University, Brisbane, QLD 4111, Australia
Research School of Chemistry, Australian National University, Canberra, ACT 0200, Australia
Dipartimento di Scienze Matematiche, Politecnico di Torino, Torino 10129, Italy
INFN, Sezione di Torino, Via P. Giuria 1, Torino 10125, Italy
* Author to whom correspondence should be addressed.
Received: 4 March 2013; in revised form: 17 April 2013 / Accepted: 19 April 2013 / Published: 25 April 2013
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
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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.
Searles DJ, Johnston BM, Evans DJ, Rondoni L. Time Reversibility, Correlation Decay and the Steady State Fluctuation Relation for Dissipation. Entropy. 2013; 15(5):1503-1515.
Searles, Debra J.; Johnston, Barbara M.; Evans, Denis J.; Rondoni, Lamberto. 2013. "Time Reversibility, Correlation Decay and the Steady State Fluctuation Relation for Dissipation." Entropy 15, no. 5: 1503-1515.