Nondifferentiable potentials for nonequilibrium steady states

H.R. Jauslin

Physica A: Statistical Mechanics and its Applications, 1987, vol. 144, issue 1, 179-191

Abstract: In the weak noise limit of Fokker-Planck models, the stationary probability density can be expressed in the form P∼exp(-1/ϵϕ(χ)), where ϵ measures the strength of the noise. We show firstly that, although in general ϕ is not differentiable, it is regular enough to allow its use as a Lyapunov function for the underlying deterministic dynamical system. This justifies the interpretation of ϕ as a generalized thermodynamic potential for systems away from equilibrium.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:144:y:1987:i:1:p:179-191

DOI: 10.1016/0378-4371(87)90151-8

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