Fluctuations of Entropy Production in Partially Masked Electric Circuits: Theoretical Analysis

TL;DR

This paper provides a theoretical analysis of entropy production fluctuations in partially masked RC circuits with thermal noise, deriving key statistical properties and testing the fluctuation theorem's validity under different conditions.

Contribution

It introduces a comprehensive theoretical framework for analyzing entropy fluctuations in coupled RC circuits with thermal noise, including derivations of correlation functions and validation of the fluctuation theorem.

Findings

Derived time-correlation functions and steady-state distributions.

Validated the fluctuation theorem for complete and incomplete descriptions.

Provided insights into entropy production in noisy electrical circuits.

Abstract

In this work we perform theoretical analysis about a coupled RC circuit with constant driven currents. Starting from stochastic differential equations, where voltages are subject to thermal noises, we derive time-correlation functions, steady-state distributions and transition probabilities of the system. The validity of the fluctuation theorem (FT) is examined for scenarios with complete and incomplete descriptions.