Microscopic Models for Chemical Thermodynamics

TL;DR

This paper develops microscopic models for chemical thermodynamics, analyzing energy exchange between kinetic and chemical types across different time scales, with detailed formulas for thermodynamic properties.

Contribution

It introduces a unified infinite particle system framework encompassing stochastic chemical kinetics, classical models, and free space movement, providing new insights into energy redistribution.

Findings

Derived main formulas of chemical thermodynamics from the model

Analyzed energy redistribution dynamics in different time scales

Connected microscopic models to macroscopic thermodynamic properties

Abstract

We introduce an infinite particle system dynamics, which includes stochastic chemical kinetics models, the classical Kac model and free space movement. We study energy redistribution between two energy types (kinetic and chemical) in different time scales, similar to energy redistribution in the living cell. One example is considered in great detail, where the model provides main formulas of chemical thermodynamics.