Linear stochastic thermodynamics for periodically driven systems

TL;DR

This paper develops a linear stochastic thermodynamics framework for periodically driven systems, deriving Onsager relations and optimizing power output in a two-level system.

Contribution

It introduces a new theoretical approach for analyzing periodically driven stochastic systems, including explicit Fourier-based expressions and thermodynamic force-flux relations.

Findings

Onsager-Casimir relations verified

Explicit Fourier component expressions derived

Power output optimized for a two-level system

Abstract

The theory of linear stochastic thermodynamics is developed for periodically driven systems in contact with a single reservoir. Appropriate thermodynamic forces and fluxes are identified, starting from the entropy production for a Markov process. Onsager coefficients are evaluated, the Onsager-Casimir relations are verified, and explicit expressions are given for an expansion in terms of Fourier components. The results are illustrated on a periodically modulated two level system including the optimization of the power output.