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Nonequilibrium work energy relation for non-Hamiltonian dynamics

Dibyendu Mandal1 and Michael R. DeWeese1,2

  • 1Department of Physics, University of California, Berkeley, California 94720, USA
  • 2Redwood Center for Theoretical Neuroscience and Helen Wills Neuroscience Institute, University of California, Berkeley, California 94720, USA

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Phys. Rev. E 93, 042129 – Published 25 April, 2016

DOI: https://doi.org/10.1103/PhysRevE.93.042129

Abstract

Recent years have witnessed major advances in our understanding of nonequilibrium processes. The Jarzynski equality, for example, provides a link between equilibrium free energy differences and finite-time nonequilibrium dynamics. We propose a generalization of this relation to non-Hamiltonian dynamics, relevant for active matter systems, continuous feedback, and computer simulation. Surprisingly, this relation allows us to calculate the free energy difference between the desired initial and final equilibrium states using arbitrary dynamics. As a practical matter, this dissociation between the dynamics and the initial and final states promises to facilitate a range of techniques for free energy estimation in a single universal expression.

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Phys. Rev. E 93, 042129– Published 25 April, 2016
  • Received 17 September 2015
Article part of CHORUS

©2016 American Physical Society

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