Flux cycles as building blocks of non-equilibrium steady states

Details Flux cycles as building blocks of non-equilibrium steady states Flux cycles as building blocks of non-equilibrium steady states

2011-05-11

arxiv.org/abs/1105.2178v1

Physics

Mathematical Physics

2 figures, 1 table

Scientific paper

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.

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