Tackling master equations with a flux loop transform

Details Tackling master equations with a flux loop transform Tackling master equations with a flux loop transform

2007-10-25

arxiv.org/abs/0710.4913v4

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

A procedure is introduced which allows to represent the dynamics of a non-equilibrium system violating detailed balance by its steady state loop fluxes. It is shown that detailed balance is restored in this representation, such that the non-equilibrium steady state follows a simple Boltzmann distribution. A novel algorithm for the construction of the steady state densities naturally emerges, as well as an expression for a 'free energy' functional which attains a minimum in the steady state.

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