Finite-time fluctuation theorem for diffusion-influenced surface reactions on spherical and Janus catalytic particles

TL;DR

This paper derives a finite-time fluctuation theorem for diffusion-influenced surface reactions on spherical and Janus particles, providing analytical expressions and validating them with numerical simulations.

Contribution

It introduces an analytical approach to finite-time fluctuation theorems for surface reactions on complex catalytic particles, validated by simulations.

Findings

Analytical expressions for finite-time reaction rates and thermodynamic forces.

Validation of theory through random walk and multiparticle collision simulations.

Enhanced understanding of fluctuation behavior in diffusion-influenced surface reactions.

Abstract

A finite-time fluctuation theorem for the diffusion-influenced surface reaction A <=> B is investigated for spherical and Janus catalytic particles. The finite-time rates and thermodynamic force are analytically calculated by solving diffusion equations with the special boundary conditions of the finite-time fluctuation theorem. Theory is compared with numerical simulations carried out with two different methods: a random walk algorithm and multiparticle collision dynamics.