Thermodynamic constraints on the nonequilibrium response of one-dimensional diffusions

TL;DR

This paper investigates how one-dimensional diffusions in nonequilibrium steady states respond to perturbations, providing a framework to analyze and quantify their responses even far from equilibrium conditions.

Contribution

It introduces a decomposition of perturbations into three classes and derives formulas to quantify responses in each case, applicable arbitrarily far from equilibrium.

Findings

Perturbations can be decomposed into three classes for analysis.

Derived formulas quantify response strength in nonequilibrium steady states.

Framework applies to systems far from equilibrium.

Abstract

We analyze the static response to perturbations of nonequilibrium steady states that can be modeled as one-dimensional diffusions on the circle. We demonstrate that an arbitrary perturbation can be broken up into a combination of three specific classes of perturbations that can be fruitfully addressed individually. For each class, we derive a simple formula that quantitatively characterizes the response in terms of the strength of nonequilibrium driving valid arbitrarily far from equilibrium.