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[{"key": "dc.contributor.advisor", "value": "Niemi, Harri", "language": null, "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Piipponen, Mika", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2024-06-13T09:41:54Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2024-06-13T09:41:54Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2024", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/95848", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Ultrarelativistic heavy-ion collisions are modelled with relativistic fluid dynamics.\nSince quark-gluon plasma formed in collider experiments cannot be directly measured,\nthe investigation of the substance is heavily based on comparing experimental data\nto predictions of theoretical models. In this thesis we review a novel relaxation time\napproximation for the relativistic Boltzmann equation, which is fully compatible with\nthe macroscopic conservation laws. We calculate approximations for the temperature\ndependence of bulk viscosity, particle diffusion coefficient and shear viscosity of a\nfluid employing this model. The calculation is carried out by matching the fluid\ndynamical quantities with the underlying microscopic theory, where the single particle\nmomentum distribution function is expressed using first order Chapman\u2013Enskog\nexpansion. In this way, even with energy-dependent relaxation times, we achieve\nconsistent approximations for the fluid dynamical transport coefficients that are in\nfull agreement with the second law of thermodynamics. The novel relaxation time\napproximation can be utilized to construct effective kinetic descriptions for matter\nin heavy-ion collisions.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Ultrarelativististen raskasionit\u00f6rm\u00e4ysten mallintamisessa hy\u00f6dynnet\u00e4\u00e4n relativistista\nvirtausmekaniikkaa. T\u00f6rm\u00e4yskokeissa syntyv\u00e4n kvarkkigluoniplasman viskositeettia\nei voida suoraan mitata, joten t\u00e4m\u00e4n tutkimus painottuu kokeellisen datan vertaamiseen teoriamallin ennustukseen. T\u00e4ss\u00e4 tutkielmassa tutustaan uudenlaiseen\nrelaksaatioaika-approksimaatioon relativistiselle Boltzmannin yht\u00e4l\u00f6lle, joka on\nyhteensopiva makroskooppisten s\u00e4ilymislakien kanssa. T\u00e4m\u00e4n avulla lasketaan\nteoreettiset arviot fluidin puristusviskositeetin, diffuusiovakion ja leikkausviskositeetin l\u00e4mp\u00f6tilariippuvuudelle. Lasku toteutetaan sovittamalla virtausmekaniikan\nsuureet taustalla olevaan mikroskooppiseen teoriaan, jossa yksihiukkastiheysfunktio esitet\u00e4\u00e4n ensimm\u00e4isen kertaluokan Chapman\u2013Enskog -ekspansion avulla. N\u00e4in\nsaadaan energiariippuvilla relaksaatioajoilla tuotettua virtausmekaniikan kuljetuskertoimille johdonmukaisia arvioita, jotka ovat yhteensopivia termodynamiikan toisen\nlain kanssa. Uuden relaksaatioaika-approksimaation avulla on mahdollista luoda\nefektiivisi\u00e4 kineettisi\u00e4 malleja kuvaamaan materiaa raskasionit\u00f6rm\u00e4yksiss\u00e4.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Miia Hakanen (mihakane@jyu.fi) on 2024-06-13T09:41:54Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2024-06-13T09:41:54Z (GMT). No. of bitstreams: 0\n Previous issue date: 2024", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "77", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.language.iso", "value": "eng", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "relaxation time", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "relativistic", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Boltzmann equation", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "kinetic theory", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "fluid dynamics", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Navier-Stokes", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Application of novel relaxation time approximation for the Boltzmann equation in relativistic fluid dynamics", "language": "", "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-202406134614", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Physics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Fysiikan laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Theoretical Physics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Teoreettinen fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": null, "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4024", "language": null, "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "suhteellisuus", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "hydrodynamiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "fysiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "viskositeetti", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "kvarkki-gluoniplasma", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "relativity", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "hydrodynamics", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "physics", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "viscosity", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "quark-gluon plasma", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}]
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