Thermal response of nonequilibrium RC-circuits

Abstract

We analyze experimental data obtained from an electrical circuit having components at different temperatures, showing how to predict its response to temperature variations. This illustrates in detail how to utilize a recent linear response theory for nonequilibrium overdamped stochastic systems. To validate these results, we introduce a reweighting procedure that mimics the actual realization of the perturbation and allows extracting the susceptibility of the system from steady state data. This procedure is closely related to other fluctuation-response relations based on the knowledge of the steady state probability distribution. As an example, we show that the nonequilibrium heat capacity in general does not correspond to the correlation between the energy of the system and the heat flowing into it. Rather, also non-dissipative aspects are relevant in the nonequilbrium fluctuation response relations.

arXiv comment2 figures

References in corpus (29)

• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Fluctuations and response of nonequilibrium states
• Fluctuation-Dissipation Theorem in Nonequilibrium Steady States
• A review of linear response theory for general differentiable dynamical systems
• On the heat flux and entropy produced by thermal fluctuations
• An update on nonequilibrium linear response
• Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
• Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function
• Fluctuation relations in simple examples of non-equilibrium steady states
• Geometrical Expression of Excess Entropy Production
• A nonequilibrium extension of the Clausius heat theorem
• Statistical properties of the energy exchanged between two heat baths coupled by thermal fluctuations
• Clausius inequality and optimality of quasi static transformations for nonequilibrium stationary states
• Heat capacity in nonequilibrium steady states
• Extended Fluctuation-Dissipation Theorem for Soft Matter in Stationary Flow
• Energy flow between two hydrodynamically coupled particles kept at different effective temperatures
• Modified fluctuation-dissipation theorem near non-equilibrium states and applications to the Glauber-Ising chain
• Mesoscopic virial equation for nonequilibrium statistical mechanics
• Nonequilibrium Response and Frenesy
• Fluctuation Relations for Diffusions Thermally Driven by a Non-Stationnary Bath
• Fluctuation-dissipation relation for chaotic non-Hamiltonian systems
• Exact equalities and thermodynamic relations for nonequilibrium steady states
• Nonequilibrium temperature response for stochastic overdamped systems
• Microscopic heat from the energetics of stochastic phenomena
• Stochastic entropy production arising from nonstationary thermal transport
• Elements of a unified framework for response formulae
• Temperature response in nonequilibrium stochastic systems
• Thermal response in driven diffusive systems
• Linear response of hydrodynamically-coupled particles under a nonequilibrium reservoir

Cited by in corpus (6)

• Response theory: a trajectory-based approach
• Interacting Brownian dynamics in a nonequilibrium particle bath
• A general fluctuation-response relation for noise variations and its application to driven hydrodynamic experiments
• Variance sum rule: proofs and solvable models
• Violation of detailed balance in microwave circuits: theory and experiment
• Thermal response of a Fermi-Pasta-Ulam chain with Andersen thermostats