Equilibrium-like behavior in far-from-equilibrium chemical reaction networks

Details Equilibrium-like behavior in far-from-equilibrium chemical reaction networks Equilibrium-like behavior in far-from-equilibrium chemical reaction networks

2007-08-22

arxiv.org/abs/0708.2953v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures; brief discussion of non-mass-action kinetics added

Scientific paper

In an equilibrium chemical reaction mixture, the number of molecules present obeys a Poisson distribution. We ask when the same is true of the steady state of a nonequilibrium reaction network and obtain an essentially complete answer. In particular, we show that networks with certain topological features must have a Poisson distribution, whatever the reaction rates. Such driven systems also obey an analog of the fluctuation-dissipation theorem. Our results may be relevant to biological systems and to the larger question of how equilibrium concepts might apply to nonequilibrium systems.

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