Thermodynamics of the general diffusion process: Time-reversibility and entropy production

Hong Qian; Min Qian; Xiang Tang

doi:10.1023/A:1015109708454

Thermodynamics of the general diffusion process: Time-reversibility and entropy production

Hong Qian
, Min Qian
, Xiang Tang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

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.

Original language	English
Pages (from-to)	1129-1141
Number of pages	13
Journal	Journal of Statistical Physics
Volume	107
Issue number	5-6
DOIs	https://doi.org/10.1023/A:1015109708454
State	Published - 2002

Keywords

Elliptic equation
Entropy production
Invariant measure
Macromolecular mechanics
Thermodynamics

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10.1023/A:1015109708454

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title = "Thermodynamics of the general diffusion process: Time-reversibility and entropy production",

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",

author = "Hong Qian and Min Qian and Xiang Tang",

year = "2002",

doi = "10.1023/A:1015109708454",

language = "English",

volume = "107",

pages = "1129--1141",

journal = "Journal of Statistical Physics",

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TY - JOUR

T1 - Thermodynamics of the general diffusion process

T2 - Time-reversibility and entropy production

AU - Qian, Hong

AU - Qian, Min

AU - Tang, Xiang

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - Elliptic equation

KW - Entropy production

KW - Invariant measure

KW - Macromolecular mechanics

KW - Thermodynamics

UR - https://www.scopus.com/pages/publications/0036243184

U2 - 10.1023/A:1015109708454

DO - 10.1023/A:1015109708454

M3 - Article

AN - SCOPUS:0036243184

SN - 0022-4715

VL - 107

SP - 1129

EP - 1141

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

Thermodynamics of the general diffusion process: Time-reversibility and entropy production

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