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- W1962912236 abstract "Master equation with microscopic reversibility ($q_{ij}neq 0$ iff $q_{ji}neq 0$) has a {em thermodynamic superstructure} in terms of two state functions $S$, entropy, and $F$, free energy: It is discovered recently that entropy production rate $e_p=-dF/dt+Q_{hk}$ with both $-dF/dt=f_d, Q_{hk} ge 0$. The free energy dissipation $f_dge 0$ reflects irreversibility in spontaneous self-organization; house-keeping heat $Q_{hk}ge 0$ reveals broken time-symmetry in open system driven away from equilibrium. In a Riemannian geometric space, the master equation is a geodesic flow when $Q_{hk}=0$; here we show that the $e_p$ decomposition is orthogonal: $e_p$, $f_d$, $Q_{hk}$ forms a pythagorean triples. Gradient flow means {em maximum dissipation principle} outside Onsager's regime. The presence of $Q_{hk}$ makses gradient flow no longer generally true. Thermodynamics of stochastic physics requires a new geometric perspective." @default.
- W1962912236 created "2016-06-24" @default.
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- W1962912236 date "2011-08-19" @default.
- W1962912236 modified "2023-09-24" @default.
- W1962912236 title "Thermodynamics and Geometry of Reversible and Irreversible Markov Processes" @default.
- W1962912236 hasPublicationYear "2011" @default.
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