General linear thermodynamics for periodically driven systems with multiple reservoirs
Statistical Mechanics
2019-09-04 v1
Abstract
We derive a linear thermodynamics theory for general Markov dynamics with both steady-state and time-periodic drivings. Expressions for thermodynamic quantities, such as mechanical and chemical work, heat and entropy production are obtained in terms of equilibrium probability distribution and the drivings. The entropy production is derived as a bilinear function of thermodynamic forces and the associated fluxes. We derive explicit formulae for the Onsager coefficients and use them to verify the Onsager-Casimir reciprocal relations. Our results are illustrated on a periodically driven quantum dot in contact with two electron reservoirs and optimization protocols are discussed.
Cite
@article{arxiv.1906.10752,
title = {General linear thermodynamics for periodically driven systems with multiple reservoirs},
author = {Karel Proesmans and Carlos E. Fiore},
journal= {arXiv preprint arXiv:1906.10752},
year = {2019}
}