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Response Properties and Critical Phenomena of Disordered Materials
Response Properties and Critical Phenomena of Disordered Materials
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105120
- ISBN
- 9798273309593
- DDC
- 530
- 서명/저자
- Response Properties and Critical Phenomena of Disordered Materials
- 발행사항
- [Sl] : Cornell University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 356 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-07, Section: B.
- 주기사항
- Advisor: Sethna, James.
- 학위논문주기
- Thesis (Ph.D.)--Cornell University, 2025.
- 초록/해제
- 요약There has been renewed interest in the response properties of disordered materials in recent years. Understanding the "jamming" of hard or soft particles, considered as a zero-temperature phase transition, has led to the development of new techniques in statistical physics. Related phase transitions that occur in disordered elastic networks may hold the key to understanding the highly tunable systems frequently seen in biology. To address these problems, we investigate the scaling properties and extract the universal predictions of a dynamical mean-field theory, the coherent potential approximation (CPA), that describes the phase behavior in inhomogeneous elastic systems quite well (Chapter 2). We make comparisons to measurements of charge density fluctuations in strange metals, which also show featureless response (Chapter 3). We follow up on these universal predictions from the CPA by showing the existence and origin of logarithmic corrections to scaling in two dimensions (Chapter 4). We also perform simulations of an anisotropically diluted version of the triangular lattice and analyze the non-mean-field behavior as a crossover between two distinct universality classes of rigidity transitions as isotropy is broken (Chapter 5). We extract universal scaling functions for Ising models using modern non-perturbative techniques (Chapter 6). Finally, we comment on the topological defects that are possible in the many nematic phases of bent-core liquid crystals (Chapter 7).
- 일반주제명
- Condensed matter physics
- 일반주제명
- Statistical physics
- 일반주제명
- Applied mathematics
- 일반주제명
- Theoretical physics
- 키워드
- Jamming
- 기타저자
- Cornell University Physics
- 기본자료저록
- Dissertations Abstracts International. 87-07B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202105120
■006m o d
■007cr#unu||||||||
■020 ▼a9798273309593
■035 ▼a(MiAaPQ)AAI32238229
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aThornton, Stephen Joseph.
■24510▼aResponse Properties and Critical Phenomena of Disordered Materials
■260 ▼a[Sl]▼bCornell University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a356 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-07, Section: B.
■500 ▼aAdvisor: Sethna, James.
■5021 ▼aThesis (Ph.D.)--Cornell University, 2025.
■520 ▼aThere has been renewed interest in the response properties of disordered materials in recent years. Understanding the "jamming" of hard or soft particles, considered as a zero-temperature phase transition, has led to the development of new techniques in statistical physics. Related phase transitions that occur in disordered elastic networks may hold the key to understanding the highly tunable systems frequently seen in biology. To address these problems, we investigate the scaling properties and extract the universal predictions of a dynamical mean-field theory, the coherent potential approximation (CPA), that describes the phase behavior in inhomogeneous elastic systems quite well (Chapter 2). We make comparisons to measurements of charge density fluctuations in strange metals, which also show featureless response (Chapter 3). We follow up on these universal predictions from the CPA by showing the existence and origin of logarithmic corrections to scaling in two dimensions (Chapter 4). We also perform simulations of an anisotropically diluted version of the triangular lattice and analyze the non-mean-field behavior as a crossover between two distinct universality classes of rigidity transitions as isotropy is broken (Chapter 5). We extract universal scaling functions for Ising models using modern non-perturbative techniques (Chapter 6). Finally, we comment on the topological defects that are possible in the many nematic phases of bent-core liquid crystals (Chapter 7).
■590 ▼aSchool code: 0058.
■650 4▼aCondensed matter physics
■650 4▼aStatistical physics
■650 4▼aApplied mathematics
■650 4▼aTheoretical physics
■653 ▼aCritical phenomena
■653 ▼aJamming
■653 ▼aPhase transitions
■653 ▼aRenormalization group
■653 ▼aRigidity percolation
■653 ▼aUniversality classes
■690 ▼a0611
■690 ▼a0217
■690 ▼a0753
■690 ▼a0364
■71020▼aCornell University▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g87-07B.
■790 ▼a0058
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359448▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
