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Non-boost invariant fluid dynamics

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dc.contributor Háskóli Íslands
dc.contributor University of Iceland
dc.contributor.author de Boer, Jan
dc.contributor.author Hartong, Jelle
dc.contributor.author Have, Emil
dc.contributor.author Obers, Niels
dc.contributor.author Sybesma, Watse
dc.date.accessioned 2020-11-24T13:43:04Z
dc.date.available 2020-11-24T13:43:04Z
dc.date.issued 2020-08-11
dc.identifier.citation De Boer, J., Hartong, J., Have, E., Obers, N., Sybesma, W., 2020. Non-boost invariant fluid dynamics. SciPost Physics. doi:10.21468/scipostphys.9.2.018
dc.identifier.issn 2542-4653
dc.identifier.uri https://hdl.handle.net/20.500.11815/2238
dc.description Publisher's version (útgefin grein)
dc.description.abstract We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rotational symmetry and we use the entropy current formalism. The curved background geometry in the absence of boost symmetry is called absolute or Aristotelian spacetime. We present a closed-form expression for the energy-momentum tensor in Landau frame which splits into three parts: a dissipative (10), a hydrostatic non-dissipative (2) and a non-hydrostatic non-dissipative part (4), where in parenthesis we have indicated the number of allowed transport coefficients. The non-hydrostatic non-dissipative transport coefficients can be thought of as the generalization of coefficients that would vanish if we were to restrict to linearized perturbations and impose the Onsager relations. For the two hydrostatic and the four non-hydrostatic non-dissipative transport coefficients we present a Lagrangian description. Finally when we impose scale invariance, thus restricting to Lifshitz fluids, we find 7 dissipative, 1 hydrostatic and 2 non-hydrostatic non-dissipative transport coefficients.
dc.description.sponsorship We especially thank Stefan Vandoren for discussions and collaboration on non-boost invariant hydrodynamics. We also thank Nick Poovuttikul and Lárus Thorlacius for useful discussions. JdB is supported by the European Research Council under the European Unions Seventh Framework Programme (FP7/2007-2013), ERC Grant agreement ADG 834878. JH is supported by the Royal Society University Research Fellowship “Non-Lorentzian Geometry in Holography” (grant number UF160197). EH is supported by the Royal Society Research Grant for Research Fellows 2017 “A Universal Theory for Fluid Dynamics” (grant number RGF\R1\180017) and gratefully acknowledges the hospitality of Nordita while part of this work was undertaken. NO is supported in part by the project “Towards a deeper understanding of black holes with non-relativistic holography” of the Independent Research Fund Denmark (grant number DFF-6108-00340) and by the Villum Foundation Experiment project 00023086. WS is supported by the Icelandic Research Fund (IRF) via a Personal Postdoctoral Fellowship Grant (185371-051).
dc.language.iso en
dc.publisher Stichting SciPost
dc.relation info:eu-repo/grantAgreement/EC/FP7/834878
dc.relation.ispartofseries SciPost Physics;9(2)
dc.rights info:eu-repo/semantics/openAccess
dc.subject Straumfræði
dc.title Non-boost invariant fluid dynamics
dc.type info:eu-repo/semantics/article
dcterms.license This work is licensed under the Creative Commons Attribution 4.0 International License.
dc.description.version Peer Reviewed
dc.identifier.journal SciPost Physics
dc.identifier.doi 10.21468/SCIPOSTPHYS.9.2.018
dc.relation.url https://scipost.org/10.21468/SciPostPhys.9.2.018
dc.contributor.department Raunvísindastofnun (HÍ)
dc.contributor.department Science Institute (UI)
dc.contributor.school Verkfræði- og náttúruvísindasvið (HÍ)
dc.contributor.school School of Engineering and Natural Sciences (UI)

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