Anisothermal Chemical Reactions: Onsager-Machlup and Macroscopic Fluctuation Theory
D. R. Michiel Renger
TL;DR
This paper explores the connection between microscopic and macroscopic models of chemical reactions with feedback, applying large deviation principles and fluctuation theories to understand reaction dynamics under different balance conditions.
Contribution
It introduces a comprehensive analysis linking quasipotential, Onsager-Machlup theory, and macroscopic fluctuation theory in the context of chemical reactions with feedback mechanisms.
Findings
Quasipotential as large-deviation rate of microscopic invariant measure
Application of Onsager-Machlup theory to pathwise large deviations in detailed balance systems
Use of macroscopic fluctuation theory for reaction flux large deviations in complex balance systems
Abstract
We study a micro and macroscopic model for chemical reactions with feedback between reactions and temperature of the solute. The first result concerns the quasipotential as the large-deviation rate of the microscopic invariant measure. The second result is an application of modern Onsager-Machlup theory to the pathwise large deviations, in case the system is in detailed balance. The third result is an application of macroscopic fluctuation theory to the reaction flux large deviations, in case the system is in complex balance.
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