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Odd Elasticity, Excitable Interfaces, and Spontaneous Wrinkling of Atomically Thin Films- [electronic resource]
Odd Elasticity, Excitable Interfaces, and Spontaneous Wrinkling of Atomically Thin Films- [electronic resource]
상세정보
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214101245
- ISBN
- 9798380140430
- DDC
- 530
- 서명/저자
- Odd Elasticity, Excitable Interfaces, and Spontaneous Wrinkling of Atomically Thin Films - [electronic resource]
- 발행사항
- [S.l.]: : The University of Chicago., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(192 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-02, Section: B.
- 주기사항
- Advisor: Vitelli, Vincenzo.
- 학위논문주기
- Thesis (Ph.D.)--The University of Chicago, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 요약This thesis explores three distinct topics, each requiring a generalization of a classical continuum theory in order to capture a striking phenomenon from a coarse-grained perspective.Chapter 2 revisits the time-honored subject of elasticity theory, which describes how solids exert stresses in response to deformation. Classical elasticity is strongly constrained by the assumption that stress is related to strain through gradients of a potential energy. This assumption is not generally valid for systems with internal sources of energy or that are governed by non-energetic effective interactions. In this chapter, I formulate a continuum theory known as odd elasticity, which generalizes classical elasticity to include nonconservative forces. Phenomenological consequences and experimental implications are discussed.Chapter 3 visits the topic of reaction-diffusion equations. In homogeneous media, it is known that adversarial forces (present everywhere in space) can give rise to local bistabilities, resulting in spikes and wave propagation. In this chapter, I show how global bistability can emerge and cause spikes and wave propagation in the presence of heterogeneities, e.g. boundaries and interfaces, that segregate competing forces. These surprisingly robust interfacial excitations arise in models of chemical reactions and predator-prey dynamics, as well as in recent experiments wherein localized action potentials are created at the interface of distinct, nonspiking bioelectric tissues.Finally, Chapter 4 studies the emergence of spontaneous wrinkles recently observed in novel confinement-free measurements of atomically thin films. I show that a classic thin sheet model with a minimal twist, disordered strain, is sufficient to recreate these wrinkles. Using continuum theory, I derive scaling predictions for the wrinkle morphology that are consistent with experimental observations. A theoretical analysis of indentation experiments reveals that these wrinkles have dramatic implications for the effective strength and heterogeneity of unconfined atomically thin films.
- 일반주제명
- Theoretical physics.
- 일반주제명
- Mechanics.
- 키워드
- Active matter
- 키워드
- Nonequilibrium
- 기타저자
- The University of Chicago 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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■00520240214101245
■006m o d
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■020 ▼a9798380140430
■035 ▼a(MiAaPQ)AAI30529111
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aScheibner, Colin Ross.▼0(orcid)0000-0002-4340-1299
■24510▼aOdd Elasticity, Excitable Interfaces, and Spontaneous Wrinkling of Atomically Thin Films▼h[electronic resource]
■260 ▼a[S.l.]:▼bThe University of Chicago. ▼c2023
■260 1▼aAnn Arbor :▼bProQuest Dissertations & Theses, ▼c2023
■300 ▼a1 online resource(192 p.)
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-02, Section: B.
■500 ▼aAdvisor: Vitelli, Vincenzo.
■5021 ▼aThesis (Ph.D.)--The University of Chicago, 2023.
■506 ▼aThis item must not be sold to any third party vendors.
■520 ▼aThis thesis explores three distinct topics, each requiring a generalization of a classical continuum theory in order to capture a striking phenomenon from a coarse-grained perspective.Chapter 2 revisits the time-honored subject of elasticity theory, which describes how solids exert stresses in response to deformation. Classical elasticity is strongly constrained by the assumption that stress is related to strain through gradients of a potential energy. This assumption is not generally valid for systems with internal sources of energy or that are governed by non-energetic effective interactions. In this chapter, I formulate a continuum theory known as odd elasticity, which generalizes classical elasticity to include nonconservative forces. Phenomenological consequences and experimental implications are discussed.Chapter 3 visits the topic of reaction-diffusion equations. In homogeneous media, it is known that adversarial forces (present everywhere in space) can give rise to local bistabilities, resulting in spikes and wave propagation. In this chapter, I show how global bistability can emerge and cause spikes and wave propagation in the presence of heterogeneities, e.g. boundaries and interfaces, that segregate competing forces. These surprisingly robust interfacial excitations arise in models of chemical reactions and predator-prey dynamics, as well as in recent experiments wherein localized action potentials are created at the interface of distinct, nonspiking bioelectric tissues.Finally, Chapter 4 studies the emergence of spontaneous wrinkles recently observed in novel confinement-free measurements of atomically thin films. I show that a classic thin sheet model with a minimal twist, disordered strain, is sufficient to recreate these wrinkles. Using continuum theory, I derive scaling predictions for the wrinkle morphology that are consistent with experimental observations. A theoretical analysis of indentation experiments reveals that these wrinkles have dramatic implications for the effective strength and heterogeneity of unconfined atomically thin films.
■590 ▼aSchool code: 0330.
■650 4▼aCondensed matter physics.
■650 4▼aTheoretical physics.
■650 4▼aMechanics.
■653 ▼aActive matter
■653 ▼aContinuum mechanics
■653 ▼aDynamical systems
■653 ▼aNonequilibrium
■653 ▼aPattern formation
■653 ▼aSoft condensed matter
■690 ▼a0611
■690 ▼a0753
■690 ▼a0346
■71020▼aThe University of Chicago▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g85-02B.
■773 ▼tDissertation Abstract International
■790 ▼a0330
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16933428▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
■980 ▼a202402▼f2024
