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Characterization of the Microstructures and Effective Physical Properties of Heterogeneous Materials Across the Order-Disorder Spectrum
Characterization of the Microstructures and Effective Physical Properties of Heterogeneous Materials Across the Order-Disorder Spectrum
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105124
- ISBN
- 9798297601925
- DDC
- 540
- 서명/저자
- Characterization of the Microstructures and Effective Physical Properties of Heterogeneous Materials Across the Order-Disorder Spectrum
- 발행사항
- [Sl] : Princeton University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 356 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-04, Section: B.
- 주기사항
- Advisor: Torquato, Salvatore.
- 학위논문주기
- Thesis (Ph.D.)--Princeton University, 2025.
- 초록/해제
- 요약Heterogeneous multi-phase materials are ubiquitous in natural and synthetic contexts, such as alloys, composites, and porous media. Such materials display an enormous diversity of microstructures that span the order-disorder spectrum and exhibit a wide-variety of phase geometries and topologies. Since the microstructure of a heterogeneous material determines its effective physical properties (e.g., conductive, elastic, and diffusive), the capacity to quantitatively classify and compare such microstructures is central to characterizing and designing materials with novel physical properties, including exotic disordered hyperuniform ones. In this thesis, I develop new computational methodologies and theoretical techniques to characterize a wide variety of microstructures of heterogeneous materials across the order-disorder spectrum and predict their effective physical properties. In Chapter 2, we demonstrate how microstructures with degenerate two-point correlation functions can exhibit non-trivial differences in their other microstructural statistics, percolation thresholds, and effective diffusion and fluid transport properties. In Chapter 3, we formulate robust and sensitive metrics to quantify the degree of order/disorder across length scales in heterogeneous materials. In Chapter 4, we develop a computationally efficient algorithm for ascertaining the diffusion spreadability S(t), a novel quantity that provides a direct link between time-dependent interphase diffusive transport and the microstructure of heterogeneous materials across length scales, directly from computationally efficient random-walk techniques. In Chapter 5, the order metrics developed in Chapter 3 are fruitfully applied to the task of quantifying phase mixing and separation behaviors in real and simulated microstructures across length and time scales. In Chapter 6, we develop and utilize a computationally efficient algorithm to compute the three-point microstructural quantities ζ2 and η2 for a variety of model microstructures and show that these parameters are sensitive to the phase-connectedness properties of a microstructure. In Chapter 7, we show that a virtually unexplored approximation formula, which depends on ζ2 and η2, accurately predicts the effective conductivities of highly clustered two-phase microstructures. In Chapter 8, we develop a hard particle packing inspired algorithm to accurately model the geometrical and topological connectedness properties of the inorganic layers of silver-chromium layered "mosaic" halide perovskite alloys.
- 일반주제명
- Chemistry
- 일반주제명
- Statistical physics
- 일반주제명
- Materials science
- 일반주제명
- Applied physics
- 일반주제명
- Physical chemistry
- 키워드
- Hyperuniformity
- 키워드
- Order metrics
- 키워드
- Packing
- 키워드
- Two-phase media
- 기타저자
- Princeton University Chemistry
- 기본자료저록
- Dissertations Abstracts International. 87-04B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798297601925
■035 ▼a(MiAaPQ)AAI32238660
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a540
■1001 ▼aSkolnick, Murray Eli.▼0(orcid)0000-0003-3743-4294
■24510▼aCharacterization of the Microstructures and Effective Physical Properties of Heterogeneous Materials Across the Order-Disorder Spectrum
■260 ▼a[Sl]▼bPrinceton University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a356 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-04, Section: B.
■500 ▼aAdvisor: Torquato, Salvatore.
■5021 ▼aThesis (Ph.D.)--Princeton University, 2025.
■520 ▼aHeterogeneous multi-phase materials are ubiquitous in natural and synthetic contexts, such as alloys, composites, and porous media. Such materials display an enormous diversity of microstructures that span the order-disorder spectrum and exhibit a wide-variety of phase geometries and topologies. Since the microstructure of a heterogeneous material determines its effective physical properties (e.g., conductive, elastic, and diffusive), the capacity to quantitatively classify and compare such microstructures is central to characterizing and designing materials with novel physical properties, including exotic disordered hyperuniform ones. In this thesis, I develop new computational methodologies and theoretical techniques to characterize a wide variety of microstructures of heterogeneous materials across the order-disorder spectrum and predict their effective physical properties. In Chapter 2, we demonstrate how microstructures with degenerate two-point correlation functions can exhibit non-trivial differences in their other microstructural statistics, percolation thresholds, and effective diffusion and fluid transport properties. In Chapter 3, we formulate robust and sensitive metrics to quantify the degree of order/disorder across length scales in heterogeneous materials. In Chapter 4, we develop a computationally efficient algorithm for ascertaining the diffusion spreadability S(t), a novel quantity that provides a direct link between time-dependent interphase diffusive transport and the microstructure of heterogeneous materials across length scales, directly from computationally efficient random-walk techniques. In Chapter 5, the order metrics developed in Chapter 3 are fruitfully applied to the task of quantifying phase mixing and separation behaviors in real and simulated microstructures across length and time scales. In Chapter 6, we develop and utilize a computationally efficient algorithm to compute the three-point microstructural quantities ζ2 and η2 for a variety of model microstructures and show that these parameters are sensitive to the phase-connectedness properties of a microstructure. In Chapter 7, we show that a virtually unexplored approximation formula, which depends on ζ2 and η2, accurately predicts the effective conductivities of highly clustered two-phase microstructures. In Chapter 8, we develop a hard particle packing inspired algorithm to accurately model the geometrical and topological connectedness properties of the inorganic layers of silver-chromium layered "mosaic" halide perovskite alloys.
■590 ▼aSchool code: 0181.
■650 4▼aChemistry
■650 4▼aStatistical physics
■650 4▼aMaterials science
■650 4▼aApplied physics
■650 4▼aPhysical chemistry
■653 ▼aEffective properties
■653 ▼aHeterogeneous materials
■653 ▼aHyperuniformity
■653 ▼aOrder metrics
■653 ▼aPacking
■653 ▼aTwo-phase media
■690 ▼a0485
■690 ▼a0794
■690 ▼a0217
■690 ▼a0215
■690 ▼a0494
■71020▼aPrinceton University▼bChemistry.
■7730 ▼tDissertations Abstracts International▼g87-04B.
■790 ▼a0181
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359476▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
