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Flux cycles as building blocks of non-equilibrium steady states
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Altaner, Bernhard, Vollmer, Jürgen, Grosskinsky, Stefan, Katthän, Lukas, Timme, Marc and Herminghaus, S. (Stephan). (2011) Flux cycles as building blocks of non-equilibrium steady states. Europhysics Letters . ISSN 0295-5075
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Official URL: http://epljournal.edpsciences.org/
Abstract
Detailed balance and the resulting constraints on equilibrium steady states constitute corner stones of statistical physics. No principles of comparable significance are known for non- equilibrium steady states. Here we introduce a representation of non-equilibrium steady-states (that violate detailed balance) in terms of cycle fluxes. We show that on the new space where the states are the original flux cycles, there is a natural dynamics that satisfies detailed balance. The non-equilibrium steady-state occupation numbers of cycles hence follow a Boltzmann distribution, and expectation values of arbitrary observables for the stochastic systems can be expressed as cycle averages, resembling the representation of expectation values in dynamical systems by cycle expansions.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Nonequilibrium statistical mechanics |
| Journal or Publication Title: | Europhysics Letters |
| Publisher: | EDP Sciences |
| ISSN: | 0295-5075 |
| Date: | 2011 |
| Status: | Peer Reviewed |
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| URI: | http://wrap.warwick.ac.uk/id/eprint/35846 |
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