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

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.

4 pages, 1 figure

References in corpus (7)

• Nonequilibrium fluctuations in a resistor
• Power and heat fluctuation theorems for electric circuits
• Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
• Fluctuations of the total entropy production in stochastic systems
• Hidden entropy production by fast variables
• Fluctuation relations for driven coupled classical two-level systems
• Statistics of heat exchange between two resistors

Cited by in corpus (6)

• Hierarchical Bounds on Entropy Production Inferred from Partial Information
• Tightest bound on hidden entropy production from partially observed dynamics
• Hidden slow degrees of freedom and fluctuation theorems: an analytically solvable model
• Entropy production for partially observed harmonic systems
• Molecular dynamics study on a nonequilibrium motion of a colloidal particle driven by an external torque
• Coexistence of distinct nonuniform nonequilibrium steady states in Ehrenfest multiurn model on a ring