The detailed balance property and chemical systems out of equilibrium

2025/02/07 by Elisa Franco, Juan J. L. Velázquez, Franco, E. +1 · 1 citation
Chemistry · #34A #92B #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #History and advancements in chemistry #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2502.04754

openalex publication_date 2025/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The detailed balance property is a fundamental property that must be satisfied in all the macroscopic systems with a well defined temperature at each point. On the other hand, many biochemical networks work in non-equilibrium conditions and they can be effectively modelled using sets of equations in which the detailed balance condition fails. In this paper we study a class of "out of equilibrium" chemical networks that can be obtained freezing the concentration of some substances in chemical networks for which the detailed balance property holds. In particular, we prove that any chemical system with bidirectional chemical reactions can be extended to a system having additional substances and for which the detailed balance property holds.

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