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A Fractal Landscape Dynamics Approach to Understanding Particle Motion in Soft Jammed Materials.
Inhalt Info
A Fractal Landscape Dynamics Approach to Understanding Particle Motion in Soft Jammed Materials.
자료유형  
 학위논문
Control Number  
0017160675
International Standard Book Number  
9798382834559
Dewey Decimal Classification Number  
660
Main Entry-Personal Name  
Rodriguez-Cruz, Clary.
Publication, Distribution, etc. (Imprint  
[S.l.] : University of Pennsylvania., 2024
Publication, Distribution, etc. (Imprint  
Ann Arbor : ProQuest Dissertations & Theses, 2024
Physical Description  
116 p.
General Note  
Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
General Note  
Advisor: Crocker, John C.
Dissertation Note  
Thesis (Ph.D.)--University of Pennsylvania, 2024.
Summary, Etc.  
요약Soft jammed materials are disordered viscoelastic solids, composed of densely packed particles, that are commonly found both in the natural world and in a wide range of manufactured products. Their applications are widespread across various industries and technologies, including food, pharmaceuticals, agriculture and cosmetics. Understanding the fundamental physics and mathematics behind their highly complex particle motion and distinct response to external stress is essential for their improved design and stability, as well as the development of new materials with unique mechanical properties. Further, it is crucial for the development of theoretical models that better describe the complex interactions and dynamics of these materials. This thesis is centered around the observation that soft jammed materials exhibit fractal landscape dynamics, where the particles' motion is not merely random but follows patterns influenced by the system's underlying fractal energy landscape. Through experimental observations, theoretical models, and numerical simulations of ripening dense emulsions and foams, this work reveals two major findings. First, it demonstrates the numerical relationships between energy landscape geometry, microscopic particle dynamics, and macroscopic rheology through a novel high-dimensional approach. Second, it introduces a simplistic random walk model that generates fractal paths with specified dimensions, successfully reflecting the complex individual particle dynamics in a ripening foam after fitting to the data. This finding affirms the presence of fractal landscape dynamics as an explanation for behaviors such as non-Gaussian particle displacements, intermittent rearrangement events, and power-law rheology. Further exploration within this work extends the high-dimensional analysis framework to the dynamics of stock market prices, drawing an intriguing parallel between the motion of individual stocks and emulsion droplets. Lastly, the machine-learning metric of 'softness' is explored as a method to predict particle rearrangements in a ripening foam, showing that simply a particle's number of neighbors achieves a surprisingly high prediction accuracy. This thesis not only enhances our understanding of soft jammed materials but also opens new avenues for applying fractal landscape dynamics across different materials and research fields.
Subject Added Entry-Topical Term  
Chemical engineering.
Subject Added Entry-Topical Term  
Energy.
Subject Added Entry-Topical Term  
Materials science.
Subject Added Entry-Topical Term  
Computational chemistry.
Subject Added Entry-Topical Term  
Particle physics.
Index Term-Uncontrolled  
Dense emulsion
Index Term-Uncontrolled  
Energy landscape
Index Term-Uncontrolled  
Fractal landscape dynamics
Index Term-Uncontrolled  
Jammed materials
Index Term-Uncontrolled  
Ripening foam
Added Entry-Corporate Name  
University of Pennsylvania Chemical and Biomolecular Engineering
Host Item Entry  
Dissertations Abstracts International. 85-12B.
Electronic Location and Access  
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Control Number  
joongbu:658056
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