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.

2 figures

References in corpus (9)

• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Fluctuations and response of nonequilibrium states
• A review of linear response theory for general differentiable dynamical systems
• An update on nonequilibrium linear response
• Fluctuation relations in simple examples of non-equilibrium steady states
• Extended Fluctuation-Dissipation Theorem for Soft Matter in Stationary Flow
• Energy flow between two hydrodynamically coupled particles kept at different effective temperatures
• Microscopic heat from the energetics of stochastic phenomena
• Thermal response in driven diffusive systems

Cited by in corpus (2)

• Response theory: a trajectory-based approach
• Interacting Brownian dynamics in a nonequilibrium particle bath