Irreversible effects of memory

Abstract

The steady state of a Langevin equation with short ranged memory and coloured noise is analyzed. When the fluctuation-dissipation theorem of second kind is not satisfied, the dynamics is irreversible, i.e. detailed balance is violated. We show that the entropy production rate for this system should include the power injected by ``memory forces''. With this additional contribution, the Fluctuation Relation is fairly verified in simulations. Both dynamics with inertia and overdamped dynamics yield the same expression for this additional power. The role of ``memory forces'' within the fluctuation-dissipation relation of first kind is also discussed.

6 pages, 1 figure, published

References in corpus (15)

• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Fluctuations and response of nonequilibrium states
• An Extension of the Fluctuation Theorem
• Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
• Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
• Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function
• Chaotic Hypothesis, Fluctuation Theorem and singularities
• Non-equilibrium work fluctuations for oscillators in non-Markovian baths
• Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
• The fluctuation-dissipation relation: how does one compare correlation functions and responses?
• Relevance of initial and final conditions for the Fluctuation Relation in Markov processes
• Current fluctuations in stochastic systems with long-range memory
• Violation of the Einstein relation in Granular Fluids: the role of correlations
• Fluctuation-Dissipation relation in sub-diffusive systems: the case of granular single-file

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