Modified fluctuation-dissipation and Einstein relation at non-equilibrium steady states

Abstract

Starting from the pioneering work of G. S. Agarwal [Zeitschrift für Physik 252, 25 (1972)], we present a unified derivation of a number of modified fluctuation-dissipation relations (MFDR) that relate response to small perturbations around non-equilibrium steady states to steady-state correlations. Using this formalism we show the equivalence of velocity forms of MFDR derived using continuum Langevin and discrete master equation dynamics. The resulting additive correction to the Einstein relation is exemplified using a flashing ratchet model of molecular motors.

7 pages, 3 figures; accepted for publication in Phys Rev E

References in corpus (11)

• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Dissipation: The phase-space perspective
• Fluctuations and response of nonequilibrium states
• Experimental verification of a modified fluctuation-dissipation relation for a micron-sized particle in a non-equilibrium steady state
• Fluctuation relations in simple examples of non-equilibrium steady states
• Irreversible dynamics of a massive intruder in dense granular fluids
• Extended Fluctuation-Dissipation Theorem for Soft Matter in Stationary Flow
• Modified Fluctuation-dissipation theorem for non-equilibrium steady-states and applications to molecular motors
• Driving particle current through narrow channels using classical pump
• Stochastic pump of interacting particles
• Driven Soft Matter: Entropy Production and the Fluctuation-Dissipation Theorem

Cited by in corpus (11)

• Non-equilibrium and information: the role of cross-correlations
• Stochastic thermodynamics of active Brownian particles
• Active Brownian particles: Entropy production and fluctuation-response
• Linear response and correlation of a self-propelled particle in the presence of external fields
• Topologically-constrained fluctuations and thermodynamics regulate nonequilibrium response
• Time asymmetry of the Kramers equation with nonlinear friction: fluctuation-dissipation relation and ratchet effect
• Dynamical crossovers and correlations in a harmonic chain of active particles
• The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond
• When does an active bath behave as an equilibrium one?
• Cooperation and competition in the collective drive by motor proteins: Mean active force, fluctuations, and self-load
• Generalized fluctuation theorems for classical systems