Variational nonequilibrium thermodynamics of reaction-diffusion systems. I. The information potential
نویسندگان
چکیده
In this work, we consider the nonequilibrium thermodynamics of a reaction-diffusion system at a given temperature, using the Master equation. The information potential is defined as the logarithm of the stationary state. We compare the approximations, given by the Fokker–Planck equation and the Wentzel-Kramers-Brillouin method directly applied to the Master equation, and prove that they lead to very different results. Finally, we show that the information potential satisfies a Hamilton– Jacobi equation and deduce general properties of this potential, valid for any reaction-diffusion system, as well as a unicity result for the regular solution of the Hamilton–Jacobi equation. A second article ~Paper II!, in the same series, will develop a path integral approach and an estimation of the chemical rate constants in this general context. © 1999 American Institute of Physics. @S0021-9606~99!50940-9#
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Variational nonequilibrium thermodynamics of reaction-diffusion systems. II. Path integrals, large fluctuations, and rate constants
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