Thermal response in driven diffusive systems

Abstract

Evaluating the linear response of a driven system to a change in environment temperature(s) is essential for understanding thermal properties of nonequilibrium systems. The system is kept in weak contact with possibly different fast relaxing mechanical, chemical or thermal equilibrium reservoirs. Modifying one of the temperatures creates both entropy fluxes and changes in dynamical activity. That is not unlike mechanical response of nonequilibrium systems but the extra difficulty for perturbation theory via path-integration is that for a Langevin dynamics temperature also affects the noise amplitude and not only the drift part. Using a discrete-time mesh adapted to the numerical integration one avoids that ultraviolet problem and we arrive at a fluctuation expression for its thermal susceptibility. The algorithm appears stable under taking even finer resolution.

10 pages, 3 figures

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Cited by in corpus (10)

• Statistical Mechanics of Active Ornstein Uhlenbeck Particles
• Response theory: a trajectory-based approach
• Macroscopic Stochastic Thermodynamics
• Nonequilibrium temperature response for stochastic overdamped systems
• Trees and forests for nonequilibrium purposes: an introduction to graphical representations
• A general fluctuation-response relation for noise variations and its application to driven hydrodynamic experiments
• Thermal response of nonequilibrium RC-circuits
• Temperature response in nonequilibrium stochastic systems
• Linear response of hydrodynamically-coupled particles under a nonequilibrium reservoir
• Thermal response of a Fermi-Pasta-Ulam chain with Andersen thermostats