Maximum entropy principle approach to a non-isothermal Maxwell-Stefan diffusion model

TL;DR

This paper applies the maximum entropy principle to derive a non-isothermal Maxwell-Stefan diffusion model from Boltzmann equations, analyzing entropy laws and production to enhance understanding of gas mixture diffusion.

Contribution

It introduces a novel derivation of a non-isothermal Maxwell-Stefan model using maximum entropy, linking kinetic theory with thermodynamic principles.

Findings

Derived scaled velocity distribution function for mixtures.

Analyzed entropy balance law and kinetic entropy production.

Established connections between kinetic theory and diffusion models.

Abstract

In this study we apply the maximum entropy principle to derive the properly scaled velocity distribution function of Boltzmann equations for mixtures, which leads to a non-isothermal Maxwell-Stefan diffusion model. We also analyze the entropy balance law and derive the kinetic entropy production from the scaled distribution function.