magistrsko delo
Matej Bajec (Author), Sašo Grozdanov (Mentor), Alexander Soloviev (Co-mentor)

Abstract

V tem delu v okviru relativistične kinetične teorije in relativistične hidrodinamike izračunamo vse retardirane termalne korelatorje termoelektrično sklopljene konformne plazme, pri končni gostoti $U(1)$ naboja ter ob prisotnosti relaksacije gibalne količine. Izračun v kinetični teoriji je opravljen v približku relaksacijskega časa, ki nam omogoča analitičen zapis rezultatov. V $2+1$ in $3+1$ dimenzijah podrobno analiziramo analitično strukturo korelatorjev v frekvenčnem prostoru in s tem kolektivne lastne načine, ki so odgovorni za transportne pojave ohranjenih količin in relaksacijo plazme k termodinamskem ravnovesju. Izračunamo tudi transportne koeficiente in termoelektrične prevodnosti.

Keywords

kinetična teorija;relativistična hidrodinamika;termalni korelatorji;analitična struktura;transportni pojavi;termalizacija;linearni odziv;konformna plazma;

Data

Language: Slovenian
Year of publishing:
Typology: 2.09 - Master's Thesis
Organization: UL FMF - Faculty of Mathematics and Physics
Publisher: [M. Bajec]
UDC: 532/533
COBISS: 196397059 Link will open in a new window
Views: 341
Downloads: 105
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: English
Secondary title: Spectra of correlators in the relaxation time approximation of kinetic theory
Secondary abstract: In this thesis we consider retarded thermal correlators of a thermoelectrically coupled conformal plasma with added momentum relaxation and in finite $U(1)$ density background, computed in both kinetic theory and relativistic hydrodynamics. In kinetic theory we consider the relaxation time approximation, which allows us to calculate our results analytically. We analyze the analytic structure of the two point functions in the frequency space, which characterizes the collective modes responsible for the transport of conserved quantities and relaxation of the plasma back to thermal equilibrium, in both $2+1$ and $3+1$ dimensions. We compute the transport coefficients, in particular the thermoelectric conductivities.
Secondary keywords: kinetic theory;relativistic hydrodynamics;thermal correlators;analytic structure;transport phenomena;thermalization;linear response;conformal plasma;
Type (COBISS): Master's thesis/paper
Study programme: 0
Thesis comment: Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za fiziko
Pages: 69 str.
ID: 23751799