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Condensed Matter > Statistical Mechanics

arXiv:1906.10752 (cond-mat)
[Submitted on 25 Jun 2019]

Title:General linear thermodynamics for periodically driven systems with multiple reservoirs

Authors:Karel Proesmans, Carlos E. Fiore
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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.
Subjects: Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:1906.10752 [cond-mat.stat-mech]
  (or arXiv:1906.10752v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.1906.10752
Journal reference: Phys. Rev. E 100, 022141 (2019)
Related DOI: https://doi.org/10.1103/PhysRevE.100.022141

Submission history

From: Karel Proesmans [view email]
[v1] Tue, 25 Jun 2019 20:33:14 UTC (19 KB)
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