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Stresses in non-equilibrium fluids: Exact formulation and coarse-grained theory

hal.structure.identifierMax Planck Institute for Intelligent Systems [Tübingen]
hal.structure.identifier4th Institute for Theoretical Physics
dc.contributor.authorKRÜGER, Matthias
hal.structure.identifierDepartment of Physics [MIT Cambridge]
dc.contributor.authorSOLON, Alexandre
hal.structure.identifierLaboratoire de Physique de l'ENS Lyon [Phys-ENS]
hal.structure.identifierLaboratoire de Physico-Chimie Théorique [LPCT]
dc.contributor.authorDÉMERY, Vincent
hal.structure.identifierMax Planck Institute for Intelligent Systems [Tübingen]
hal.structure.identifier4th Institute for Theoretical Physics
dc.contributor.authorROHWER, Christian
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorDEAN, David
dc.date.created2017-12-14
dc.date.issued2018
dc.identifier.issn0021-9606
dc.description.abstractEnStarting from the stochastic equation for the density operator, we formulate the exact (instantaneous) stress tensor for interacting Brownian particles and show that its average value agrees with expressions derived previously. We analyze the relation between the stress tensor and forces due to external potentials and observe that, out of equilibrium, particle currents give rise to extra forces. Next, we derive the stress tensor for a Landau-Ginzburg theory in generic, non-equilibrium situations, finding an expression analogous to that of the exact microscopic stress tensor, and discuss the computation of out-of-equilibrium (classical) Casimir forces. Subsequently, we give a general form for the stress tensor which is valid for a large variety of energy functionals and which reproduces the two mentioned cases. We then use these relations to study the spatio-temporal correlations of the stress tensor in a Brownian fluid, which we compute to leading order in the interaction potential strength. We observe that, after integration over time, the spatial correlations generally decay as power laws in space. These are expected to be of importance for driven confined systems. We also show that divergence-free parts of the stress tensor do not contribute to the Green-Kubo relation for the viscosity.
dc.description.sponsorshipInteractions induites par des fluctuations entre interfaces molles dans les systèmes complexes
dc.language.isoen
dc.publisherAmerican Institute of Physics
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/
dc.title.enStresses in non-equilibrium fluids: Exact formulation and coarse-grained theory
dc.typeArticle de revue
dc.identifier.doi10.1063/1.5019424
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech]
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
dc.identifier.arxiv1712.05160
bordeaux.journalJournal of Chemical Physics
bordeaux.page084503
bordeaux.volume148
bordeaux.issue8
bordeaux.peerReviewedoui
hal.identifierhal-01803727
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01803727v1
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