GENERIC framework for reaction diffusion systems

TL;DR

This paper introduces the GENERIC framework for reaction-diffusion systems, extending the description of non-equilibrium phenomena beyond traditional assumptions, and demonstrates its application to systems with detailed balance and Fokker-Planck equations.

Contribution

It presents a novel application of the GENERIC framework to reaction-diffusion systems, including systems with detailed balance and Fokker-Planck equations, beyond linear non-equilibrium regimes.

Findings

Unified description of non-equilibrium systems

Application to systems with detailed balance

Extension to Fokker-Planck equations

Abstract

The GENERIC theory provides a framework for the description of non-equilibrium phenomena in isolated systems beyond local thermal equilibrium and beyond linear non-equilibrium (i.e., linear relations between thermodynamic forces and currents). The framework is applied to some simple and general systems: reactions with detailed balance and Fokker-Planck (FP) equation. It is shown how to apply the theory to a combination of system and reservoir in the case of the FP equation.