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Geometry and Topology of Soft Elastic Systems
Geometry and Topology of Soft Elastic Systems
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152757
- ISBN
- 9798342719360
- DDC
- 530
- 서명/저자
- Geometry and Topology of Soft Elastic Systems
- 발행사항
- [Sl] : University of California, Santa Barbara, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 109 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-05, Section: B.
- 주기사항
- Advisor: Bowick, Mark J.;Streichan, Sebastian.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Santa Barbara, 2024.
- 초록/해제
- 요약We study two separate systems each of which emphasizes the geometrical and topological aspects of soft condensed matter systems. The geometry side of condensed matter is exemplified by the geometrical frustration experienced by constrained thermalized membranes. We study the dynamics of the novel tilted phase of thermalized cantilevers and find that the geometry of the system plays an important role in determining the behavior of the underdamped dynamics. We then delve into the topology of soft matter by studying the non-Abelian braiding of singular defect lines of systems with biaxial symmetry. Biaxial nematic defects have a non-Abelian topology that allows for the formation of topologically stable braided structures. We devise a braid theory that incorporates strand labeling via colors and allows for crossing relations that take colorings into account. We use this colored braid theory to translate complex braided structures into algebraic expressions that can be used to determine whether the braid is entangled under the algebra of its assigned fundamental group. We supplement this with possible experimental realizations of the non-Abelian structures inherent to the biaxial nematic system.
- 일반주제명
- Physics
- 일반주제명
- Materials science
- 키워드
- Biaxial nematics
- 키워드
- Elasticity
- 키워드
- Thermalization
- 키워드
- Topology
- 기타저자
- University of California, Santa Barbara Physics
- 기본자료저록
- Dissertations Abstracts International. 86-05B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■007cr#unu||||||||
■020 ▼a9798342719360
■035 ▼a(MiAaPQ)AAI31555951
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aAbril valenzuela, Roberto.
■24510▼aGeometry and Topology of Soft Elastic Systems
■260 ▼a[Sl]▼bUniversity of California, Santa Barbara▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a109 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-05, Section: B.
■500 ▼aAdvisor: Bowick, Mark J.;Streichan, Sebastian.
■5021 ▼aThesis (Ph.D.)--University of California, Santa Barbara, 2024.
■520 ▼aWe study two separate systems each of which emphasizes the geometrical and topological aspects of soft condensed matter systems. The geometry side of condensed matter is exemplified by the geometrical frustration experienced by constrained thermalized membranes. We study the dynamics of the novel tilted phase of thermalized cantilevers and find that the geometry of the system plays an important role in determining the behavior of the underdamped dynamics. We then delve into the topology of soft matter by studying the non-Abelian braiding of singular defect lines of systems with biaxial symmetry. Biaxial nematic defects have a non-Abelian topology that allows for the formation of topologically stable braided structures. We devise a braid theory that incorporates strand labeling via colors and allows for crossing relations that take colorings into account. We use this colored braid theory to translate complex braided structures into algebraic expressions that can be used to determine whether the braid is entangled under the algebra of its assigned fundamental group. We supplement this with possible experimental realizations of the non-Abelian structures inherent to the biaxial nematic system.
■590 ▼aSchool code: 0035.
■650 4▼aPhysics
■650 4▼aMaterials science
■653 ▼aBiaxial nematics
■653 ▼aNon-Abelian braiding
■653 ▼aElasticity
■653 ▼aThermalization
■653 ▼aTopology
■690 ▼a0605
■690 ▼a0794
■71020▼aUniversity of California, Santa Barbara▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-05B.
■790 ▼a0035
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17163819▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
