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Thermodynamic constraints on the nonequilibrium response of one-dimensional diffusions

Qi Gao1, Hyun-Myung Chun2, and Jordan M. Horowitz1,2,3

  • 1Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
  • 2Department of Biophysics, University of Michigan, Ann Arbor, Michigan 48109, USA
  • 3Center for the Study of Complex Systems, University of Michigan, Ann Arbor, Michigan 48104, USA

Phys. Rev. E 105, L012102 – Published 7 January, 2022

DOI: https://doi.org/10.1103/PhysRevE.105.L012102

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.

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