Onsager coefficients in periodically driven systems

TL;DR

This paper analyzes the Onsager matrix in periodically driven systems, demonstrating that fluxes vanish at zero dissipation, reversible efficiency is unattainable at finite power, and the Onsager matrix's properties are constrained by these principles.

Contribution

It provides a comprehensive evaluation of the Onsager matrix considering all Fourier components in periodically driven systems and establishes fundamental thermodynamic constraints.

Findings

Fluxes converge to zero as dissipation approaches zero

Reversible efficiency cannot be achieved at finite power

Onsager matrix determinant must vanish in these systems

Abstract

We evaluate the Onsager matrix for a system under time-periodic driving by considering all its Fourier components. By application of the second law, we prove that all the fluxes converge to zero in the limit of zero dissipation. Reversible efficiency can never be reached at finite power. The implication for an Onsager matrix, describing reduced fluxes, is that its determinant has to vanish. In the particular case of only two fluxes, the corresponding Onsager matrix becomes symmetric.