Multicomponent Linear Transport in the Absence of Local Equilibrium

TL;DR

This paper develops a mechanical theory for multicomponent transport that does not rely on local equilibrium assumptions, revealing the breakdown of traditional reciprocal relations in nonequilibrium systems.

Contribution

It introduces a new framework for understanding transport phenomena without local equilibrium, applicable to diverse complex systems.

Findings

Breakdown of Onsager reciprocal relations without local equilibrium

Application to electrolytes and active systems

Extension of numerical methods for nonequilibrium transport

Abstract

The linear laws of transport phenomena are central in our description of irreversible processes in systems across the physical sciences. Linear irreversible thermodynamics allows for the identification of the underlying forces driving transport and the structure of the relevant transport coefficients for systems that are locally in equilibrium. Increasingly, linear relations are found to describe transport in systems in which a local equilibrium hypothesis is unlikely to hold. Here, we derive a mechanical theory of multicomponent transport without appealing to equilibrium notions. Our theory for the Onsager transport tensor highlights the general breakdown of the familiar Onsager reciprocal relations and Einstein relations when a local equilibrium is absent. The procedure outlined is applied to a variety of systems, including passive systems, mixtures with nonreciprocal interactions, electrolytes under an electric field, and active systems, and can be straightforwardly used to understand other transport processes. The framework further provides a basis to extend numerical approaches for computing the transport coefficients of nonequilibrium systems, as is demonstrated for a system with nonreciprocal interactions.