Thermal response of nonequilibrium RC circuits

Area of Science:

• Non-equilibrium statistical physics
• Complex systems analysis
• Electrical circuit dynamics

Background:

• Understanding the behavior of electrical circuits under varying temperatures is crucial.
• Recent advancements in linear response theory offer new tools for analyzing non-equilibrium systems.
• Predicting system responses from steady-state data remains a challenge.

Purpose of the Study:

• To demonstrate the application of linear response theory to predict electrical circuit behavior under temperature variations.
• To introduce and validate a novel reweighting procedure for extracting system susceptibility.
• To clarify the relationship between heat capacity and energy-time correlations in non-equilibrium systems.

Main Methods:

• Analysis of experimental data from an electrical circuit with components at different temperatures.
• Application of a recent linear response theory for non-equilibrium overdamped stochastic systems.
• Development of a reweighting procedure to mimic perturbations and extract susceptibility from steady-state data.

Main Results:

• The study successfully predicts the electrical circuit's response to temperature variations.
• The reweighting procedure effectively extracts system susceptibility from steady-state data.
• It is shown that non-equilibrium heat capacity involves more than just energy-heat correlations, including non-dissipative aspects.

Conclusions:

• Linear response theory provides a powerful framework for analyzing temperature-dependent circuit behavior.
• The proposed reweighting method offers a robust way to study fluctuation-response relations.
• A nuanced understanding of non-equilibrium thermodynamics, including heat capacity, is essential.