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Stochastic Thermodynamics of Oscillators' Networks
KTH, School of Engineering Sciences (SCI), Applied Physics, Materials and Nanophysics.
KTH, Centres, SeRC - Swedish e-Science Research Centre. KTH, School of Engineering Sciences (SCI), Applied Physics.ORCID iD: 0000-0001-7788-6127
2018 (English)In: Entropy, ISSN 1099-4300, E-ISSN 1099-4300, Vol. 20, no 12, article id 992Article in journal (Refereed) Published
Abstract [en]

We apply the stochastic thermodynamics formalism to describe the dynamics of systems of complex Langevin and Fokker-Planck equations. We provide in particular a simple and general recipe to calculate thermodynamical currents, dissipated and propagating heat for networks of nonlinear oscillators. By using the Hodge decomposition of thermodynamical forces and fluxes, we derive a formula for entropy production that generalises the notion of non-potential forces and makes transparent the breaking of detailed balance and of time reversal symmetry for states arbitrarily far from equilibrium. Our formalism is then applied to describe the off-equilibrium thermodynamics of a few examples, notably a continuum ferromagnet, a network of classical spin-oscillators and the Frenkel-Kontorova model of nano friction.

Place, publisher, year, edition, pages
MDPI , 2018. Vol. 20, no 12, article id 992
Keywords [en]
stochastic thermodynamics, heat transfer, oscillators' networks, entropy production, KKER H, 1977, PHYSICAL REVIEW A, V16, P2126 me Tania, 2010, PHYSICAL REVIEW E, V82, KKER H, 1979, PHYSICA A, V95, P311 aun OM, 1998, PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, V306, P1 rlenghi Simone, 2016, PHYSICAL REVIEW E, V93, KKER H, 1975, ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, V21, P295 xty Denes, 2014, PHYSICS LETTERS B, V729, P108 sager L, 1931, PHYSICAL REVIEW, V38, P2265 rlenghi Simone, 2014, PHYSICAL REVIEW B, V89, lls R., 1980, Differential Analysis on Complex Manifolds, rlenghi Simone, 2014, PHYSICAL REVIEW LETTERS, V112, llgaard A., 2013, PHYSICAL REVIEW D, V88
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URN: urn:nbn:se:kth:diva-241215DOI: 10.3390/e20120992ISI: 000454282000100Scopus ID: 2-s2.0-85058962757OAI: oai:DiVA.org:kth-241215DiVA, id: diva2:1280311
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QC 20190118

Available from: 2019-01-18 Created: 2019-01-18 Last updated: 2019-08-20Bibliographically approved

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Borlenghi, SimoneDelin, Anna

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