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[{"key": "dc.contributor.advisor", "value": "Niemi, Harri", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Lappetel\u00e4inen, Tero", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2024-08-06T05:15:12Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2024-08-06T05:15:12Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2024", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/96516", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 tutkielmassa on esitetty, miten hadronien irtikytkeytyminen ultrarelativististen raskasionit\u00f6rm\u00e4ysten hydrodynaamisessa mallissa voidaan toteuttaa hy\u00f6dynt\u00e4en Cooper-Frye integraalia. Ty\u00f6n toinen motiivi on laatia algoritmi, jonka avulla muodostetaan yksitt\u00e4isi\u00e4 hiukkasia irtikytkeytymispinnalle ja s\u00e4mpl\u00e4t\u00e4\u00e4n n\u00e4ille jokaiselle liikem\u00e4\u00e4r\u00e4t. Suureen kuten liikem\u00e4\u00e4r\u00e4n s\u00e4mpl\u00e4\u00e4minen tarokoittaa, ett\u00e4 sille tuotetaan arvo sen noudattaman todenn\u00e4k\u00f6isyystiheysjakauman avulla.\n\nRaskasionit\u00f6rm\u00e4yksille l\u00f6ytyy p\u00e4\u00e4asiassa kaksi tapaa muodostaa virtausmekaanisia malleja. Yksi on olettaa puskuinvariantti virtaus, jolloin laskenta prosessi nopeutuu huomattavasti ja toinen on t\u00e4ysin kolmiulotteinen virtaus, joka antaa realistisemman kuvan virtauksesta.\n\nKun oletetaan puskuinvariantti virtaus, Cooper-Frye integraali redusoituu kaksiulotteiseksi integraaliksi, mik\u00e4 nopeuttaa laskentaa huomattavasti. Puskuinvariantti malli ei kuitenkaan mahdollista rapiditeetista riippuvien suureiden laskemista. Kolmiulotteisen Cooper-Frye integraalin ratkaiseminen numeerisesti on hidasta, mutta t\u00e4m\u00e4 ongelma voidaan v\u00e4ltt\u00e4\u00e4 hy\u00f6dynt\u00e4m\u00e4ll\u00e4 Monte Carlo -simulaatiota.\n\nCooper-Frye integraalia ei tarvitse ratkaista integroiden, kun irtikytkeytyminen toteutetaan s\u00e4mpl\u00e4ten. Sen sijaan yksitt\u00e4isess\u00e4 t\u00f6rm\u00e4yksess\u00e4 irtikytkeytymispinnalla muodostuvat hadronit ja niiden liikem\u00e4\u00e4r\u00e4t muodostetaan Monte Carlo metodilla. T\u00e4m\u00e4n metodin tuloksia on verrattu integroiden ratkaistuihin hiukkasjakaumiin. Testiss\u00e4 menetelm\u00e4t antoivat samat tulokset hiukkaslukum\u00e4\u00e4rille ja poikittaisliikem\u00e4\u00e4r\u00e4n sek\u00e4 rapiditeetin jakaumille kaikilla pioneja raskaammilla hadroneilla. Pioneilla havaittiin pieni ero poikittaisliikem\u00e4\u00e4r\u00e4n jakaumissa.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "In this thesis it is shown how the decoupling of hadrons in the hydrodynamical model of ultrarelativistic heavy-ion collisions can be implemented utilizing the Cooper-Frye integral. The second part of the work is to develop an algorithm, which is used to generate individual particles from the decoupling surface and sample momenta for each of them. \n\nThere are mainly two ways to construct fluid mechanical models for heavy-ion collisions. One is to assume boost invariant flow, which speeds up the calculation process, and the other is a full three-dimensional flow, giving a more realistic description of the collision.\n\nWhen boost invariant flow is assumed, the Cooper-Frye integral reduces to a two-dimensional integral, which speeds up the calculations considerably. However, the boost invariant flow model does not enable the calculation of rapidity dependent quantities. Solving the three-dimensional Cooper-Fry integral numerically is slow but this problem can be avoided by using a Monte Carlo algorithm.\n\nIt is not necessary to solve Cooper-Frye integral by direct integration, when decoupling is realized by sampling. Instead, for a single collision the hadrons formed on the decoupling surface and their momenta are formed using a Monte Carlo method. The results of this method has been compared to particle distributions obtained by direct integration. In the test, the methods gave the same results for the particle number and transverse momentum as well as rapidity distributions for all hadrons that were heavier than pions. A slight difference in transverse momentum distributions was observed for pions.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2024-08-06T05:15:12Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2024-08-06T05:15:12Z (GMT). No. of bitstreams: 0\n Previous issue date: 2024", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "56", "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": "irtikytkeytyminen", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Hadronien irtikytkeytymisen mallintaminen Cooper-Frye integraalilla ultrarelativistisissa raskasionit\u00f6rm\u00e4yksiss\u00e4", "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-202408065399", "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": "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": "Teoreettinen fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Theoretical 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_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": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "hydrodynamiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "hadronit", "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": "simulointi", "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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