Statistical Thermodynamics of General Minimal Diffusion Processes: Constuction, Invariant Density, Reversibility and Entropy Production

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dc.creatorQian, Hong
dc.creatorQian, Min
dc.creatorTang, Xiang
dc.date2002-01-01
dc.date.accessioned2026-07-07T04:28:52Z
dc.date.available2026-07-07T04:28:52Z
dc.descriptionThe solution to nonlinear Fokker-Planck equation is constructed in terms of the minimal Markov semigroup generated by the equation. The semigroup is obtained by a purely functional analytical method via Hille-Yosida theorem. The existence of the positive invariant measure with density is established and a weak form of Foguel alternative proven. We show the equivalence among self-adjoint of the elliptic operator, time-reversibility, and zero entropy production rate of the stationary diffusion process. A thermodynamic theory for diffusion processes emerges.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0201001
dc.identifierhttp://arxiv.org/abs/math-ph/0201001
dc.identifierJournal of Statistical Physics, Vol. 107, pp. 1129-1141 (2002)
dc.identifierdoi:10.1023/A:1015109708454
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56958
dc.subjectMathematical Physics
dc.titleStatistical Thermodynamics of General Minimal Diffusion Processes: Constuction, Invariant Density, Reversibility and Entropy Production
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