Nonequilibrium temperature response for stochastic overdamped systems

Abstract

The thermal response of nonequilibrium systems requires the knowledge of concepts that go beyond entropy production. This is showed for systems obeying overdamped Langevin dynamics, either in steady states or going through a relaxation process. Namely, we derive the linear response to perturbations of the noise intensity, mapping it onto the quadratic response to a constant small force. The latter, displaying divergent terms, is explicitly regularized with a novel path-integral method. The nonequilibrium equivalents of heat capacity and thermal expansion coefficient are two applications of this approach, as we show with numerical examples.

23 pages, 2 figures

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• Response theory: a trajectory-based approach
• On the Fluctuation-Dissipation Relation in non-equilibrium and non-Hamiltonian systems
• Macroscopic Stochastic Thermodynamics
• Finite-time dynamical phase transition in non-equilibrium relaxation
• Beyond Thermodynamic Uncertainty Relations: nonlinear response, error-dissipation trade-offs, and speed limits
• Landau theory for finite-time dynamical phase transitions
• A general fluctuation-response relation for noise variations and its application to driven hydrodynamic experiments
• Kovacs-like memory effect in athermal systems: linear response analysis
• Dynamical activity universally bounds precision of response in Markovian nonequilibrium systems
• Entropy production and heat capacity of systems under time-dependent oscillating temperature
• Thermal response of nonequilibrium RC-circuits
• Thermodynamic uncertainty relation for Langevin dynamics by scaling time
• The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium
• Thermal response of a Fermi-Pasta-Ulam chain with Andersen thermostats