Thermal response of nonequilibrium RC-circuits

TL;DR

This paper investigates the thermal response of nonequilibrium RC circuits using a linear response theory, introducing a reweighting method to extract susceptibilities from steady state data, highlighting non-dissipative effects.

Contribution

It applies a recent linear response theory to experimental data of nonequilibrium circuits and introduces a reweighting procedure for susceptibility extraction.

Findings

Nonequilibrium heat capacity does not solely relate to energy-heat correlation.

Non-dissipative aspects influence fluctuation-response relations.

Reweighting procedure effectively estimates susceptibilities from steady state data.

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.