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[{"key": "dc.contributor.advisor", "value": "Niemi, Harri", "language": "", "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": "2023-02-17T06:22:17Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2023-02-17T06:22:17Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2022", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/85505", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 tutkielmassa tutustun hydrodynaamiseen malliin relativistisen viskoosin fluidin\nkuvaamisessa ja selvit\u00e4n mink\u00e4laiseen fysiikkaan teoria pohjautuu. Suurin k\u00e4ytt\u00f6kohde relativistiselle hydrodynamiikalle on raskasionit\u00f6rm\u00e4yksiss\u00e4 muodostuvan\nkvarkki-gluoniplasman tutkiminen. Varhaisen maailmankaikkeuden ja mahdollisesti\nneutronit\u00e4htien ytimien uskotaan koostuvan kvarkki-gluoniplasmasta. Matemaattisessa tarkastelussa rakennan ensin ideaalisen relativistisen hydrodynamiikan yht\u00e4l\u00f6t\nperustavanlaatuisten modernin fysiikan- sek\u00e4 termodynamiikan teorioiden pohjalta ja n\u00e4yt\u00e4n, ett\u00e4 ideaalitapauksessa entropia s\u00e4ilyy. Seuraavaksi tarkastelen viskositeetin aiheuttamia fluidin hiukkas- ja energiadiffuusion vaikutuksia. Lopuksi\njohdan ideaalisen hydrodynamiikan pohjalta relativistisen Navier\u2013Stokes-teorian\nliikeyht\u00e4l\u00f6t m\u00e4\u00e4rittelem\u00e4ll\u00e4 nelinopeuden uudestaan ja vaatimalla entropian kasvun.\nRelativistiset Navier\u2013Stokes-liikeyht\u00e4l\u00f6t kuvaavat relativistisen fluidin aikakehityst\u00e4,\njossa termodynaamisten muuttujien gradientit aiheuttavat sekoitusvirtoja fluidin\nviskositeetin takia. Viskositeetin pienentyess\u00e4 yht\u00e4l\u00f6t redusoituvat kohti ideaalisen\nhydrodynamiikan yht\u00e4l\u00f6it\u00e4.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "In this thesis I review a hydrodynamic theory for modeling a relativistic viscous\nfluid. The main application for relativistic hydrodynamics is studying quark-gluon\nplasma created in heavy ion collisions. The early universe and possibly the cores of\nneutron stars are believed to consist of quark-gluon plasma. In the mathematical\nderivation I first construct the equations for ideal relativistic hydrodynamics using\nfundamental theories of modern physics and thermodynamics, and show that in\nthe case of ideal fluid, entropy is conserved. Then I consider the effect of particle\nand energy diffusion induced by fluid viscosity. Finally, by re-defining the four-velocity and stipulating the growth of entropy, I derive the equations of motion of\nrelativistic Navier\u2013Stokes theory from the basis of the ideal hydrodynamics. The\nrelativistic Navier\u2013Stokes equations of motion describe the relativistic fluid\u2019s time\ndevelopment, where the gradients of the thermodynamic variables produce dissipative\ncurrents. As the viscosity decreases, the equations reduce towards the equations of\nideal hydrodynamics.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Miia Hakanen (mihakane@jyu.fi) on 2023-02-17T06:22:17Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2023-02-17T06:22:17Z (GMT). No. of bitstreams: 0\n Previous issue date: 2022", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "45", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "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": "relativistinen", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "raskasioni", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "QGP", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Relativistinen Navier\u2013Stokes-teoria", "language": "", "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "bachelor thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-202302171777", "language": "", "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Bachelor's thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Kandidaatinty\u00f6", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Fysiikan laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Physics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Physics", "language": "en", "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_7a1f", "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": "bachelorThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4021", "language": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "suhteellisuusteoria", "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": "yht\u00e4l\u00f6t", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "hiukkasfysiikka", "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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