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Stochastic Dissipative Euler’s equations for a free body

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dc.contributor.authorTorre Rodríguez, Jaime Arturo de la
dc.contributor.authorSánchez Rodríguez, Jesús
dc.contributor.authorEspañol Garrigos, José
dc.date.accessioned2025-06-27T13:02:16Z
dc.date.available2025-06-27T13:02:16Z
dc.date.issued2024-11-05
dc.descriptionThis is a Submitted Manuscript of an article published by De Gruyter Brill in "Journal of Non-Equilibrium Thermodynamics, 50(1), (2025)", available at: https://doi.org/10.1515/jnet-2024-0029
dc.description.abstractIntrinsic thermal fluctuations within a real solid challenge the rigid body assumption that is central to Euler’s equations for the motion of a free body. Recently, we have introduced a dissipative and stochastic version of Euler’s equations in a thermodynamically consistent way (European Journal of Mechanics – A/Solids 103, 105,184 (2024)). This framework describes the evolution of both orientation and shape of a free body, incorporating internal thermal fluctuations and their concomitant dissipative mechanisms. In the present work, we demonstrate that, in the absence of angular momentum, the theory predicts that the principal axes unit vectors of a body undergo an anisotropic Brownian motion on the unit sphere, with the anisotropy arising from the body’s varying moments of inertia. The resulting equilibrium time correlation function of the principal eigenvectors decays exponentially. This theoretical prediction is confirmed in molecular dynamics simulations of small bodies. The comparison of theory and equilibrium MD simulations allow us to measure the orientational diffusion tensor. We then use this information in the Stochastic Dissipative Euler’s Equations, to describe a non-equilibrium situation of a body spinning around the unstable intermediate axis. The agreement between theory and simulations is excellent, offering a validation of the theoretical frameworken
dc.description.versionversión original
dc.identifier.citationde la Torre, J., Sánchez-Rodríguez, J. & Español, P. (2025). Stochastic dissipative Euler’s equations for a free body. Journal of Non-Equilibrium Thermodynamics, 50(1), 127-147. https://doi.org/10.1515/jnet-2024-0029
dc.identifier.doihttps://doi.org/10.1515/jnet-2024-0029
dc.identifier.issn1437-4358
dc.identifier.urihttps://hdl.handle.net/20.500.14468/26946
dc.journal.issue1
dc.journal.titleJournal of Non-Equilibrium Thermodynamics
dc.journal.volume50
dc.language.isoes
dc.page.final147
dc.page.initial127
dc.publisherDe Gruyter Brill
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentFÍSICA FUNDAMENTAL
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.uriAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.subject12 Matemáticas
dc.subject25 Ciencias de la Tierra y del Espacio::2507 Geofísica
dc.subject24 Ciencias de la Vida
dc.subject.keywordsdissipative Euler’s equationsen
dc.subject.keywordsstochastic differential equationsen
dc.subject.keywordscoarse-graining theoryen
dc.titleStochastic Dissipative Euler’s equations for a free bodyen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication488cdc69-4873-4328-9762-aa4d769eb267
relation.isAuthorOfPublication3b61e52c-f6ae-4a2d-81d8-a0f7e4e850f0
relation.isAuthorOfPublicationc1a506e5-c37a-4d9c-a63a-5809431cb24c
relation.isAuthorOfPublication.latestForDiscovery488cdc69-4873-4328-9762-aa4d769eb267
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