Modified Fluctuation-dissipation theorem for non-equilibrium steady-states and applications to molecular motors

TL;DR

This paper develops a theoretical framework for a modified fluctuation-dissipation theorem applicable to systems near non-equilibrium steady-states with Markovian dynamics, illustrated through molecular motors and generalized Green-Kubo relations.

Contribution

It introduces a new theoretical approach to understanding fluctuation-dissipation relations in non-equilibrium systems, extending existing results to biomolecular networks.

Findings

Derived a modified fluctuation-dissipation theorem for non-equilibrium steady-states.

Connected the theorem to trajectory entropy excess.

Extended Green-Kubo relations to biomolecular networks.

Abstract

We present a theoretical framework to understand a modified fluctuation-dissipation theorem valid for systems close to non-equilibrium steady-states and obeying markovian dynamics. We discuss the interpretation of this result in terms of trajectory entropy excess. The framework is illustrated on a simple pedagogical example of a molecular motor. We also derive in this context generalized Green-Kubo relations similar to the ones derived recently by Seifert., Phys. Rev. Lett., 104, 138101 (2010) for more general networks of biomolecular states.