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Thermodynamics of the General Diffusion Process: Time-Reversibility and Entropy Production
Authors:Hong Qian  Min Qian  Xiang Tang
Affiliation:(1) School of Mathematical Sciences, Peking University, Beijing, 100871, People's Republic of China;(2) Department of Applied Mathematics, University of Washington, Seattle, Washington, 98195-2420;(3) Department of Mathematics, University of California, Berkeley, California, 94720-3840
Abstract:
We introduce an axiomatic thermodynamic theory for the general diffusion process and prove a theorem concerning entropy and irreversibility: the equivalence among time-reversibility, zero entropy production, symmetricity of the stationary diffusion process, and a potential condition.
Keywords:elliptic equation  entropy production  invariant measure  macromolecular mechanics  thermodynamics
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