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

¹ Laboratoire de Physico-Chimie Théorique, UMR CNRS Gulliver 7083, ESPCI - 10 rue Vauquelin, F-75231 Paris, France, EU
² Institut de Physique Théorique, CEA Saclay - F-91191 Gif-sur-Yvette, France, EU

^a gatien.verley@espci.fr

Received: 21 September 2010
Accepted: 21 December 2010

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 obtained recently in Seifert U., Phys. Rev. Lett., 104 (2010) 138101 for more general networks of biomolecular states.