Detailed balance in micro- and macrokinetics and micro-distinguishability of macro-processes

Abstract

We develop a general framework for the discussion of detailed balance and analyse its microscopic background. We find that there should be two additions to the well-known $T$- or $PT$-invariance of the microscopic laws of motion: 1. Equilibrium should not spontaneously break the relevant $T$- or $PT$-symmetry. 2. The macroscopic processes should be microscopically distinguishable to guarantee persistence of detailed balance in the model reduction from micro- to macrokinetics. We briefly discuss examples of the violation of these rules and the corresponding violation of detailed balance.

arXiv comment7 pages, extended version with new sections: "Reciprocal relation and detailed balance" and "Relations between elementary processes beyond microreversibility and detailed balance."

References in corpus (4)

• Quasichemical Models of Multicomponent Nonlinear Diffusion
• Extended Detailed Balance for Systems with Irreversible Reactions
• The Michaelis-Menten-Stueckelberg Theorem
• Thermodynamics in the Limit of Irreversible Reactions

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