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Determination of Bulk Properties From Statistical Fluctuation in Many-Body Systems
Determination of Bulk Properties From Statistical Fluctuation in Many-Body Systems
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211153132
- ISBN
- 9798346853244
- DDC
- 530
- 서명/저자
- Determination of Bulk Properties From Statistical Fluctuation in Many-Body Systems
- 발행사항
- [Sl] : The Ohio State University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 139 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-06, Section: B.
- 주기사항
- Advisor: Skinner, Brian.
- 학위논문주기
- Thesis (Ph.D.)--The Ohio State University, 2024.
- 초록/해제
- 요약In this thesis, we explore the emergent behaviors of complex systems across various domains, unified by underlying principles from statistical mechanics. We begin with a study of fracton dynamics in a one-dimensional random circuit model where particles move under constraints of both charge and dipole conservation. This model exhibits a continuous phase transition from a thermalizing to a nonthermalizing phase as a function of particle density. Through combinatorial mappings, we identify an exact solution for the critical density of nc = 1/(ℓ − 2), where ℓ is the spatial range of particle interactions, and reveal a universal correlation length exponent ν = 2, with critical scaling confirmed by numerical simulations.Next, we examine electron hydrodynamic flow in two dimensions, where electric current forms narrow channels guided by potential energy contours. In periodic (moire) potentials, hydrodynamic flow produces linear-in-temperature, T, resistivity, while random potentials lead to resistivity scaling as T10/3 due to increasingly tortuous equipotential paths.We then address the phenomenon of superspreading in epidemics, as exemplified by early SARS-CoV-2 transmission. By analyzing early case growth rates across subpopulations, we estimate high variance in individual infectiousness, suggesting that over 81% of new infections were due to the top 10% of infectious individuals in the early pandemic stages in the U.S., highlighting the fat-tailed distribution of infectiousness.Finally, we investigate Johnson noise in two-dimensional conductors, deriving general relations between the Johnson noise temperature and heat flux. Assuming the electron system obeys the Wiedemann-Franz law, we show a universal relationship for temperature increase due to Joule heating and connect Johnson noise to heat flux in systems with external heating sources.
- 일반주제명
- Physics
- 일반주제명
- Applied physics
- 일반주제명
- Particle physics
- 키워드
- Fracton dynamics
- 키워드
- Electric current
- 키워드
- Joule heating
- 기타저자
- The Ohio State University Physics
- 기본자료저록
- Dissertations Abstracts International. 86-06B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211153132
■006m o d
■007cr#unu||||||||
■020 ▼a9798346853244
■035 ▼a(MiAaPQ)AAI31836974
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aPozderac, Calvin.
■24510▼aDetermination of Bulk Properties From Statistical Fluctuation in Many-Body Systems
■260 ▼a[Sl]▼bThe Ohio State University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a139 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-06, Section: B.
■500 ▼aAdvisor: Skinner, Brian.
■5021 ▼aThesis (Ph.D.)--The Ohio State University, 2024.
■520 ▼aIn this thesis, we explore the emergent behaviors of complex systems across various domains, unified by underlying principles from statistical mechanics. We begin with a study of fracton dynamics in a one-dimensional random circuit model where particles move under constraints of both charge and dipole conservation. This model exhibits a continuous phase transition from a thermalizing to a nonthermalizing phase as a function of particle density. Through combinatorial mappings, we identify an exact solution for the critical density of nc = 1/(ℓ − 2), where ℓ is the spatial range of particle interactions, and reveal a universal correlation length exponent ν = 2, with critical scaling confirmed by numerical simulations.Next, we examine electron hydrodynamic flow in two dimensions, where electric current forms narrow channels guided by potential energy contours. In periodic (moire) potentials, hydrodynamic flow produces linear-in-temperature, T, resistivity, while random potentials lead to resistivity scaling as T10/3 due to increasingly tortuous equipotential paths.We then address the phenomenon of superspreading in epidemics, as exemplified by early SARS-CoV-2 transmission. By analyzing early case growth rates across subpopulations, we estimate high variance in individual infectiousness, suggesting that over 81% of new infections were due to the top 10% of infectious individuals in the early pandemic stages in the U.S., highlighting the fat-tailed distribution of infectiousness.Finally, we investigate Johnson noise in two-dimensional conductors, deriving general relations between the Johnson noise temperature and heat flux. Assuming the electron system obeys the Wiedemann-Franz law, we show a universal relationship for temperature increase due to Joule heating and connect Johnson noise to heat flux in systems with external heating sources.
■590 ▼aSchool code: 0168.
■650 4▼aPhysics
■650 4▼aApplied physics
■650 4▼aParticle physics
■653 ▼aFracton dynamics
■653 ▼aElectric current
■653 ▼aParticle interactions
■653 ▼aJoule heating
■690 ▼a0605
■690 ▼a0798
■690 ▼a0215
■71020▼aThe Ohio State University▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-06B.
■790 ▼a0168
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17165176▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
