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arXiv · 1910.12602

Entropy production and heat transport in harmonic chains under time dependent periodic drivings

Bruno A. N. Akasaki·M. J. de Oliveira·Carlos E. Fiore
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Abstract

Using stochastic thermodynamics, the properties of interacting linear chains subject to periodic drivings are investigated. The systems are described by Fokker-Planck-Kramers equation and exact (explicit) solutions are obtained for periodic drivings as functions of the modulation frequency and strength constants. The limit of long chains is analyzed by means of a protocol in which the intermediate temperatures are self-consistently chosen and the entropy production is decomposed as a sum of two individual contributions, one coming from real baths (placed at extremities of lattice) and other from self-consistent baths. The thermal reservoirs lead to a heat flux according to Fourier's law. Explicit expressions for short chains are derived, whose entropy production is written down as a bilinear function of thermodynamic forces and the associated fluxes, from which Onsager coefficients have been evaluated. A comparison between distinct periodic drivings is also performed.

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Bruno A. N. Akasaki, M. J. de Oliveira, Carlos E. Fiore. 2019-10-28. Entropy production and heat transport in harmonic chains under time dependent periodic drivings. https://doi.org/10.1103/physreve.101.012132

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