Jack, RL and Evans, RML (2016) Absence of dissipation in trajectory ensembles biased by currents. Journal of Statistical Mechanics: Theory and Experiment, 2016. 093305. ISSN 1742-5468
Abstract
We consider biased ensembles of trajectories associated with large deviations of currents in equilibrium systems. The biased ensembles are characterised by non-zero currents and lack the time-reversal symmetry of the equilibrium state. In cases where the equilibrium system has an inversion symmetry which is broken by the bias, we show that the biased ensembles retain a generalised time-reversal symmetry, involving a spatial transformation that inverts the current. This means that these ensembles lack dissipation. Hence, they differ significantly from non-equilibrium steady states where currents are induced by external forces. One consequence of this result is that maximum entropy assumptions (MaxEnt/MaxCal), widely used for modelling thermal systems away from equilibrium, have quite unexpected implications, including apparent superfluid behaviour in a classical model of shear flow.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 IOP Publishing Ltd and SISSA Medialab. This is an author-created, un-copyedited version of an article published in Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1742-5468/2016/09/093305. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | current fluctuations, large deviations in non-equilibrium systems |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 01 Sep 2016 11:47 |
Last Modified: | 19 Oct 2017 13:41 |
Published Version: | https://doi.org/10.1088/1742-5468/2016/09/093305 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/1742-5468/2016/09/093305 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:104147 |