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 - or -invariance of the microscopic laws of motion: 1. Equilibrium should not spontaneously break the relevant - or -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.
Keywords
Cite
@article{arxiv.1407.6927,
title = {Detailed balance in micro- and macrokinetics and micro-distinguishability of macro-processes},
author = {A. N. Gorban},
journal= {arXiv preprint arXiv:1407.6927},
year = {2014}
}
Comments
7 pages, extended version with new sections: "Reciprocal relation and detailed balance" and "Relations between elementary processes beyond microreversibility and detailed balance."