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Phenomenological Modeling of the QCD Equation of State With a First Order Phase Transition- [electronic resource]
Phenomenological Modeling of the QCD Equation of State With a First Order Phase Transition- [electronic resource]
상세정보
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214101251
- ISBN
- 9798379958428
- DDC
- 536
- 저자명
- Welle, Thomas.
- 서명/저자
- Phenomenological Modeling of the QCD Equation of State With a First Order Phase Transition - [electronic resource]
- 발행사항
- [S.l.]: : University of Minnesota., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(147 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-02, Section: B.
- 주기사항
- Advisor: Kapusta, Joeseph I.
- 학위논문주기
- Thesis (Ph.D.)--University of Minnesota, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 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.
- 일반주제명
- Thermodynamics.
- 일반주제명
- Nuclear physics.
- 일반주제명
- Physics.
- 키워드
- Phase transition
- 키워드
- QCD equation
- 기타저자
- University of Minnesota Physics
- 기본자료저록
- Dissertations Abstracts International. 85-02B.
- 기본자료저록
- Dissertation Abstract International
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520240214101251
■006m o d
■007cr#unu||||||||
■020 ▼a9798379958428
■035 ▼a(MiAaPQ)AAI30529723
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a536
■1001 ▼aWelle, Thomas.
■24510▼aPhenomenological Modeling of the QCD Equation of State With a First Order Phase Transition▼h[electronic resource]
■260 ▼a[S.l.]:▼bUniversity of Minnesota. ▼c2023
■260 1▼aAnn Arbor :▼bProQuest Dissertations & Theses, ▼c2023
■300 ▼a1 online resource(147 p.)
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-02, Section: B.
■500 ▼aAdvisor: Kapusta, Joeseph I.
■5021 ▼aThesis (Ph.D.)--University of Minnesota, 2023.
■506 ▼aThis item must not be sold to any third party vendors.
■520 ▼aQCD 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.
■590 ▼aSchool code: 0130.
■650 4▼aThermodynamics.
■650 4▼aNuclear physics.
■650 4▼aPhysics.
■653 ▼aEquation of state
■653 ▼aPhase transition
■653 ▼aQCD equation
■653 ▼aQuantum chromodynamics
■690 ▼a0756
■690 ▼a0348
■690 ▼a0605
■71020▼aUniversity of Minnesota▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g85-02B.
■773 ▼tDissertation Abstract International
■790 ▼a0130
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16933474▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
■980 ▼a202402▼f2024
