20.500.12556/RUL-162763 Symmetry breaking, phase transitions, and hydrodynamic attractors Zlom simetrije, fazni prehodi in hidrodinamski atraktorji Recent theoretical studies of an expanding quark-gluon plasma, utilizing the Müller-Israel-Stewart formalism, have given rise to the concept of hydrodynamic attractors in relativistic viscous hydrodynamics. In parallel, the Son-Nicolis framework has elucidated the relation between fields and thermodynamical variables in an effective field theory. Expanding upon the incorporation of both approaches, we study the theory of an effective action for a complex scalar field, charged under a $U(1)$ global symmetry with a temperature-dependent symmetry-breaking potential, giving rise to a phase transition, in expanding background metrics. In particular, we examine the evolution of this superfluid within the contexts of Bjorken flow, Gubser flow, and the Friedmann-Lemaître-Robertson-Walker background, with special emphasis on the estimation of the hydrodynamic attractor timescale and the oscillatory behavior across these scenarios. Teoretični opisi kvark gluon plazme, ki temeljijo na Müller-Israel-Stewart formalizmu, uvedejo pojem hidrodinamskega atraktorja v relativistični hidrodinamiki. Po drugi strani lahko v efektivni teoriji polja povežemo termodinamske količine in dinamična polja s pomočjo Son-Nicolis teorije. V tem delu nadgradimo oba pristopa na primeru efektivne akcije kompleksnega skalarnega polja, nabitega pod globalno U(1) simetrijo, ob prisotnosti temperaturno odvisnega potenciala, ki simetrijo zlomi in posledično inducira fazni prehod v razširjajočem se ozadju. Obravnavamo predvsem časovno dinamiko te supertekočine v primerih Bjorkenovega in Gubserjevega toka ter FLRW ozadja, s posebnim poudarkom na oceni časovne skale hidrodinamskega atratkorja ter oscilatornimi pojavi v teh ozadjih. relativistic hydrodynamics hydrodynamic attractors order parameter symmetry-breaking potential superfluids Bjorken flow Gubser flow FLRW background Müller-Israel-Stewart formalism Son-Nicolis framework relativistična hidrodinamika hidrodinamski atraktorji ureditveni parameter potencial zloma simetrije superfluidnost Bjorkenov tok Gubserjev tok FLRW ozadje Müller-Israel-Stewartov formalizem Son-Nicolisova teorija. true false false Angleški jezik Slovenski jezik Magistrsko delo/naloga 2024-09-27 08:15:21 2024-09-27 08:15:24 2024-10-02 14:35:33 0000-00-00 00:00:00 2024 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 144499 209045763 14898.pdf 14898.pdf 1 57AC711F2D51681FD3D489B99B03DDA2 509163001f0ef28657e7151a51783715ac449b3bb10ead42c4e2e77454e56e6a c1709f18-7c97-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=192186 Fakulteta za matematiko in fiziko 0 0 0