Entropy and Entropy Production in Some Applications

TL;DR

This paper introduces a method using entropy and entropy production to calculate steady fluxes in various physical phenomena, including ionic conduction, diffusion, thermal conduction, and viscosity.

Contribution

It presents a novel competition method based on maximizing a combination of system entropy and entropy production to determine fluxes.

Findings

Calculated fluxes for ionic conduction, diffusion, thermal conduction, and viscosity.

Validated the method across multiple physical phenomena.

Provided a new approach to analyze steady-state fluxes using entropy concepts.

Abstract

By using entropy and entropy production, we calculate the steady flux of some phenomena. The method we use is a competition method, $S_S/\tau+\sigma={\it maximum}$, where $S_S$ is system entropy, $\sigma$ is entropy production and $\tau$ is microscopic interaction time. System entropy is calculated from the equilibrium state by studying the flux fluctuations. The phenomena we study include ionic conduction, atomic diffusion, thermal conduction and viscosity of a dilute gas.