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Microscopic Derivation of an Isothermal Thermodynamic Transformation

dc.contributor.authorOlla, Stefano
HAL ID: 18345
ORCID: 0000-0003-0845-1861
dc.date.accessioned2013-10-29T14:14:41Z
dc.date.available2013-10-29T14:14:41Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11940
dc.descriptionSpringer Proceedings in Mathematics & Statistics, vol.75
dc.language.isoenen
dc.subjectquasi static transformations
dc.subjectClausius Inequality
dc.subjectIsothermal transformations
dc.subjectnon-equilibrium statistical mechanics
dc.subjecthydrodynamic limit
dc.subject.ddc520en
dc.titleMicroscopic Derivation of an Isothermal Thermodynamic Transformation
dc.typeCommunication / Conférence
dc.description.abstractenWe obtain macroscopic isothermal thermodynamic transformations by space-time scalings of a microscopic Hamiltonian dynamics in contact with a heat bath. The microscopic dynamics is given by a chain of anharmonic oscillators subject to a varying tension (external force) and the contact with the heat bath is modeled by independent Langevin dynamics acting on each particle. After a diffusive space-time scaling and cross-graining, the profile of volume converges to the solution of a deterministic diffusive equation with boundary conditions given by the applied tension. This defines an irreversible thermodynamic transformation from an initial equilibrium to a new equilibrium given by the final tension applied. Quasi static reversible isothermal transformations are then obtained by a further time scaling. Heat is defined as the total flux of energy exchanged between the system and the heat bath. Then we prove that the relation between the limit heat, work, free energy and thermodynamic entropy agree with the first and second principle of thermodynamics.
dc.identifier.citationpages225-238
dc.relation.ispartoftitleFrom Particle Systems to Partial Differential Equations Particle Systems and PDEs, Braga, Portugal, December 2012
dc.relation.ispartoftitleParticle Systems and PDEs Conference
dc.relation.ispartofeditorCédric Bernardin, Patricia Gonçalves
dc.relation.ispartofpublnameSpringer
dc.relation.ispartofpublcityBerlin Heidelberg
dc.relation.ispartofdate2014
dc.relation.ispartofurl10.1007/978-3-642-54271-8
dc.identifier.urlsitehttps://arxiv.org/abs/1310.0798v1
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.ispartofisbn978-3-642-54270-1
dc.relation.confcountryPORTUGAL
dc.description.submittednonen
dc.identifier.doi10.1007/978-3-642-54271-8_10
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-03-10T16:12:40Z


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