자료유형  

 학위논문

Control Number  

0016933474

International Standard Book Number  

9798379958428

Dewey Decimal Classification Number  

536

Main Entry-Personal Name  

Welle, Thomas.

Publication, Distribution, etc. (Imprint  

[S.l.] : University of Minnesota., 2023

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2023

Physical Description  

1 online resource(147 p.)

General Note  

Source: Dissertations Abstracts International, Volume: 85-02, Section: B.

General Note  

Advisor: Kapusta, Joeseph I.

Dissertation Note  

Thesis (Ph.D.)--University of Minnesota, 2023.

Restrictions on Access Note  

This item must not be sold to any third party vendors.

Summary, Etc.  

요약QCD is expected to possess a first-order phase transition at large temperatures resulting from the breaking of chiral SU(2)L x SU(2)R flavor symmetry into SU(2)V flavor symmetry. This transition is between a hadronic phase and a deconfined quark-gluon plasma (QGP) phase. Due to the finite quark masses, this transition becomes a smooth crossover for small baryon densities, resulting in the phase transition line terminating in a critical point at some finite Tc ≈ 150 MeV and µc ≈ 500 MeV. The technical complexities of QCD make computations of the equation of state for QCD matter challenging.In this work, we describe ways of expressing the QCD equation of state across a range of energy scales. These include perturbative QCD, hadron resonance gasses, and relativistic mean-field theory. From these, we construct a number of phenomenological equations of state with the aim of modeling the critical behavior of QCD. We compare these models highlighting their features and drawbacks. One method involves directly interpolating between low energy and high energy equations of state through the use of a switching function which parameterized the contribution of each. A number of such functions are presented. In another model, we embed a critical point into a smooth background equation of state through use of a multiplicative factor inspired by solutions to the general cubic. The last method is a modification of the Schofield parameterization of systems in the 3D-Ising universality class.We present two instances where we have used such models to good effect. First, we used a simplified crossover model to predict mass-radius relations for neutron stars. Second, a crossover model was used as part of the hydrodynamic phase of a recent simulation of heavy ion collisions, which were used to obtain transport coefficients of hadronic matter. We also provide a software framework for computing these equations of state and other relevant thermodynamic observables within each model.

Subject Added Entry-Topical Term  

Thermodynamics.

Subject Added Entry-Topical Term  

Nuclear physics.

Subject Added Entry-Topical Term  

Physics.

Index Term-Uncontrolled  

Equation of state

Index Term-Uncontrolled  

Phase transition

Index Term-Uncontrolled  

QCD equation

Index Term-Uncontrolled  

Quantum chromodynamics

Added Entry-Corporate Name  

University of Minnesota Physics

Host Item Entry  

Dissertations Abstracts International. 85-02B.

Host Item Entry  

Dissertation Abstract International

Electronic Location and Access  

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Control Number  

joongbu:639874