Organization and dissipation of currents in non-equilibrium thermodynamics

TL;DR

This paper introduces a dynamical theory for understanding how currents are organized and dissipated in non-equilibrium fluids near equilibrium, using Lyapunov exponents to analyze phase space dynamics.

Contribution

It presents a novel theoretical framework linking phase space Lyapunov exponents to current organization and dissipation in non-equilibrium thermodynamics.

Findings

Lyapunov exponents characterize current dissipation.

The theory explains current organization near equilibrium.

Provides a new perspective on non-equilibrium fluid dynamics.

Abstract

A dynamical theory for the organization and dissipation of a current in a non-equilibrium fluid near equilibrium is presented. This is based on the Lyapunov exponents of the phase space of the system.