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Statistical, Nonlinear, and Soft Matter Physics Commons™
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Articles 1 - 30 of 58
Full-Text Articles in Statistical, Nonlinear, and Soft Matter Physics
When To Hold And When To Fold: Studies On The Topology Of Origami And Linkages, Mary Elizabeth Lee
When To Hold And When To Fold: Studies On The Topology Of Origami And Linkages, Mary Elizabeth Lee
Doctoral Dissertations
Linkages and mechanisms are pervasive in physics and engineering as models for a
variety of structures and systems, from jamming to biomechanics. With the increase
in physical realizations of discrete shape-changing materials, such as metamaterials,
programmable materials, and self-actuating structures, an increased understanding
of mechanisms and how they can be designed is crucial. At a basic level, linkages
or mechanisms can be understood to be rigid bars connected at pivots around which
they can rotate freely. We will have a particular focus on origami-like materials, an
extension to linkages with the added constraint of faces. Self-actuated versions typ-
ically start …
Deformations Of Geometrically Frustrated Elastic Sheets, Meng Xin
Deformations Of Geometrically Frustrated Elastic Sheets, Meng Xin
Doctoral Dissertations
The wrinkling and buckling of thin solids are common phenomena in our daily life and can be observed in many situations, such as crumpled papers, stretched plastics, compressed metals, clothes on our bodies and even furrowed human skin. Understanding of these phenomena has therefore long drawn interest of scholars. In this thesis, we discuss two buckling problems numerically and analytically. First, we study the wrinkling mechanism of stretched sheets with clamped edges. A central puzzle underlying this canonical example of “tensional wrinkling” has been the origin of compressive stress, which eventually leads to buckling instability. We elucidate the source of …
Path Integral Monte Carlo For Entanglement In Bosonic Lattices At T = 0, Emanuel Casiano-Diaz
Path Integral Monte Carlo For Entanglement In Bosonic Lattices At T = 0, Emanuel Casiano-Diaz
Doctoral Dissertations
Path-Integral Monte Carlo Worm Algorithm is one of many Quantum Monte Carlo (QMC) methods that serve as powerful tools for the simulation of quantum many-body systems. Developed in the late 90’s, this algorithm has been used with great success to study a wide array of physical models where exact calculation of observables is not possible due to the exponential size of the Hilbert space. One type of systems that have eluded PIMC-WA implementation are lattice models at zero temperature, which are of relevance in experimental settings, such as in optical lattices of ultra-cold atoms. In this thesis, we develop a …
Applications Of Statistical Physics To Ecology: Ising Models And Two-Cycle Coupled Oscillators, Vahini Reddy Nareddy
Applications Of Statistical Physics To Ecology: Ising Models And Two-Cycle Coupled Oscillators, Vahini Reddy Nareddy
Doctoral Dissertations
Many ecological systems exhibit noisy period-2 oscillations and, when they are spatially extended, they undergo phase transition from synchrony to incoherence in the Ising universality class. Period-2 cycles have two possible phases of oscillations and can be represented as two states in the bistable systems. Understanding the dynamics of ecological systems by representing their oscillations as bistable states and developing dynamical models using the tools from statistical physics to predict their future states is the focus of this thesis. As the ecological oscillators with two-cycle behavior undergo phase transitions in the Ising universality class, many features of synchrony and equilibrium …
Symmetry Breaking Effects In Low-Dimensional Quantum Systems, Ke Wang
Symmetry Breaking Effects In Low-Dimensional Quantum Systems, Ke Wang
Doctoral Dissertations
Quantum criticality in low-dimensional quantum systems is known to host exotic behaviors. In quantum one-dimension (1D), the emerging conformal group contains infinite generators, and conformal techniques, e.g., operator product expansion, give accurate and universal descriptions of underlying systems. In quantum two-dimension (2D), the electronic interaction causes singular corrections to Fermi-liquids characteristics. Meanwhile, the Dirac fermions in topological 2D materials can greatly enrich emerging phenomena. In this thesis, we study the symmetry-breaking effects of low-dimensional quantum criticality. In 1D, we consider two cases: time-reversal symmetry (TRS) breaking in the Majorana conformal field theory (CFT) and the absence of conformal symmetry in …
Frontiers In The Self-Assembly Of Charged Macromolecules, Khatcher O. Margossian
Frontiers In The Self-Assembly Of Charged Macromolecules, Khatcher O. Margossian
Doctoral Dissertations
The self-assembly of charged macromolecules forms the basis of all life on earth. From the synthesis and replication of nucleic acids, to the association of DNA to chromatin, to the targeting of RNA to various cellular compartments, to the astonishingly consistent folding of proteins, all life depends on the physics of the organization and dynamics of charged polymers. In this dissertation, I address several of the newest challenges in the assembly of these types of materials. First, I describe the exciting new physics of the complexation between polyzwitterions and polyelectrolytes. These materials open new questions and possibilities within the context …
How Dynamic Bond Results In The Unique Viscoelastic Behavior Of The Associating Polymers, Sirui Ge
How Dynamic Bond Results In The Unique Viscoelastic Behavior Of The Associating Polymers, Sirui Ge
Doctoral Dissertations
Associating polymer is a special kind of polymer possessing transient reversible bonds in addition to the conventional covalent bonds. The reversible bonds provide unique dynamics and fascinating viscoelastic properties, resulting in attractive applications for these polymers, such as self-healing and shape memory materials. Despite many years of studies, the understanding of dynamics of polymers with reversible bonds, especially on molecular level, is still in the rudimentary stage, preventing the rational design of the potential novel functional materials based on associating polymers. In this dissertation, we provide a detailed and quantitative understanding of the dynamics and viscoelastic properties of associating polymers. …
Direct Calculation Of Configurational Entropy: Pair Correlation Functions And Disorder, Clifton C. Sluss
Direct Calculation Of Configurational Entropy: Pair Correlation Functions And Disorder, Clifton C. Sluss
Doctoral Dissertations
Techniques such as classical molecular dynamics [MD] simulation provide ready access to the thermodynamic data of model material systems. However, the calculation of the Helmholtz and Gibbs free energies remains a difficult task due to the tedious nature of extracting accurate values of the excess entropy from MD simulation data. Thermodynamic integration, a common technique for the calculation of entropy requires numerous simulations across a range of temperatures. Alternative approaches to the direct calculation of entropy based on functionals of pair correlation functions [PCF] have been developed over the years. This work builds upon the functional approach tradition by extending …
Collective Motion And Phase Diagram Of Self-Propelled Vibrated Hard Squares, Zhejun Shen
Collective Motion And Phase Diagram Of Self-Propelled Vibrated Hard Squares, Zhejun Shen
Doctoral Dissertations
In equilibrium, matter condenses into ordered phases due to the combined effects of inter-particle interactions and entropy. In this dissertation, we explore the self-propulsion of particles as an additional nonequilibrium consideration in the mechanisms for ordering. Our experiments employ square-shaped hard particles; in equilibrium, when particle motions are randomly directed, squares form entropically-stabilized phases in which first their orientations, and then their positions, get locked in relative to each other, depending on the density of coverage. When the square tiles are modified to have small propulsion along some body-fixed axis we find that their tendency to order is profoundly altered. …
Liquid-Liquid Transition In Ionic Liquids, Matthew Albert Harris
Liquid-Liquid Transition In Ionic Liquids, Matthew Albert Harris
Doctoral Dissertations
The properties of liquids have been linked to the existence of the liquid-liquid transition (LLT), a first-order thermodynamic transition from one liquid phase to another in a single- component liquid. LLT is fundamental to the understanding of the liquid state and has been theorized to manifest from a two-state feature of local order in the liquid. LLT has been reported in a variety of liquids with computer simulations comprising the bulk of the evidence. Experimental evidence for LLT remains controversial because it frequently manifests in the supercooled state, obscured by crystallization. In this dissertation, evidence is presented revealing LLT in …
Modeling Chain Packing In Complex Phases Of Self-Assembled Block Copolymers, Anugu Abhiram Reddy
Modeling Chain Packing In Complex Phases Of Self-Assembled Block Copolymers, Anugu Abhiram Reddy
Doctoral Dissertations
Block copolymer (BCP) melts undergo microphase seperation and form ordered soft matter crystals with varying domain shapes and symmetries. We study the con- nection between diblock copolymer molecular designs and thermodynamic selection of ordered crystals by modeling features of variable sub-domain geometry filled with individual blocks within non-canonical sphere-like and network phases that together with layered, cylindrical and canonical spherical phases forms “natural forms” of self- assembled amphiphilic soft matter at large. First, we present a model to revise our understanding of optimal Frank-Kasper sphere-like morphologies by advancing the- ory to account for varying domain volumes. We then develop generic …
Manipulating The Properties Of Light-Responsive Active Lipid Bilayer Membranes: Measuring Mechanics And Probing Mechanisms, Arash Manafirad
Manipulating The Properties Of Light-Responsive Active Lipid Bilayer Membranes: Measuring Mechanics And Probing Mechanisms, Arash Manafirad
Doctoral Dissertations
This thesis explores an experimental system probing the effect of energy input (in light-responsive bilayers) on membrane physicomechanical properties and dynamics of response to a trigger. We were inspired by the ability of cell membranes to alter their elastic and permeability properties and shape in response to energy input, change in lipid chemistry, or bilayer composition. Our work demonstrates and sheds new light on the roles of lipid chemical character, light-responsive moieties' incorporation in the membrane, and the lipid bilayer's mechanical properties on membrane response to chemical tuning or energy input. To observe how lipid chemistry affects membrane physical properties …
Pattern Formation And Phase Transition Of Connectivity In Two Dimensions, Arman Mohseni Kabir
Pattern Formation And Phase Transition Of Connectivity In Two Dimensions, Arman Mohseni Kabir
Doctoral Dissertations
This dissertation is devoted to the study and analysis of different types of emergent behavior in physical systems. Emergence is a phenomenon that has fascinated researchers from various fields of science and engineering. From the emergence of global pandemics to the formation of reaction-diffusion patterns, the main feature that connects all these diverse systems is the appearance of a complex global structure as a result of collective interactions of simple underlying components. This dissertation will focus on two types of emergence in physical systems: emergence of long-range connectivity in networks and emergence and analysis of complex patterns. The most prominent …
An Experimental Study Of Lipid-Membrane Based Structure Formation And Development Of A Responsive System, Rui Cao
Doctoral Dissertations
This thesis shows how controlling adhesive interactions among lipid bilayer vesicles and surrounding polymers or particles leads to formation of new mesoscopic and macroscopic structures. The vesicle-gel reported could find application as a closed-cell, 99% water solid platform for releasing cargo in response to a stimulus, either by tuning membrane permeability or by disruption of the vesicles.
Roughening Interfaces In Spatial Population Dynamics, Clarisa E. Castillo
Roughening Interfaces In Spatial Population Dynamics, Clarisa E. Castillo
Doctoral Dissertations
The spatial structure and geometry of biological systems can have a strong effect on that system’s evolutionary dynamics. In particular, spatially structured populations may invade one another, giving rise to invasion fronts that may exhibit qualitatively different evolutionary dynamics in different dimensions or geometric configurations. For examples of invasion fronts arising in nature, one might think of a thin layer of bacteria cells growing on a Petri dish, an animal species expanding into new territory, or a cancerous tumor growing into and competing with the surrounding healthy tissue. Perhaps the most well-studied class of invasion fronts in population genetics is …
Composite Network Of Actin And Microtubule Filaments, Self-Organization And Steady-State Dynamics, Leila Farhadi
Composite Network Of Actin And Microtubule Filaments, Self-Organization And Steady-State Dynamics, Leila Farhadi
Doctoral Dissertations
Actin and microtubule filaments, with their auxiliary proteins, enable the cytoskeleton to perform vital processes in the cell by tuning the organizational, mechanical properties and dynamics of the network. Despite their critical importance and interactions in cells, we are only beginning to uncover information about the composite network. Here, I use florescence microscopy to explore the role of filaments characteristics, interactions and activities in the self-organization and steady-state dynamics of the composite network of filaments. First, I discuss active self-organization of semiflexible actin and rigid microtubule filaments in the 2D composite network while myosin II and kinesin-1 motor proteins propel …
Distortion-Controlled Isotropic Swelling And Self-Assembly Of Triply-Periodic Minimal Surfaces, Carlos M. Duque
Distortion-Controlled Isotropic Swelling And Self-Assembly Of Triply-Periodic Minimal Surfaces, Carlos M. Duque
Doctoral Dissertations
In the first part of this thesis, I propose a method that allows us to construct optimal swelling patterns that are compatible with experimental constraints. This is done using a greedy algorithm that systematically increases the perimeter of the target surface with the help of minimum length cuts. This reduces the areal distortion that comes from the changing Gaussian curvature of the sheet. The results of our greedy cutting algorithm are tested on surfaces of constant and varying Gaussian curvature, and are additionally validated with finite thickness simulations using a modified Seung-Nelson model. In the second part of the thesis, …
Theory And Improved Methods For Probing The Cavitation To Fracture Transition, Christopher Barney
Theory And Improved Methods For Probing The Cavitation To Fracture Transition, Christopher Barney
Doctoral Dissertations
A material is considered soft when its bulk modulus is significantly greater than its shear modulus. Rubbery polymers are a class of soft materials where resistance to extension is mainly entropic in nature. Polymeric soft solids differ from liquids due to the presence of a percolated network of strong bonds that resist deformation and flow on a given time scale. The incompressible nature, entropically driven elasticity, and molecular scale network structure of soft polymeric solids combine to impart unique mechanical behavior that often results in complex material responses to simple loading situations. An important example of this is cavitation in …
Filaments, Fibers, And Foliations In Frustrated Soft Materials, Daria Atkinson
Filaments, Fibers, And Foliations In Frustrated Soft Materials, Daria Atkinson
Doctoral Dissertations
Assemblies of one-dimensional filaments appear in a wide range of physical systems: from biopolymer bundles, columnar liquid crystals, and superconductor vortex arrays; to familiar macroscopic materials, like ropes, cables, and textiles. Interactions between the constituent filaments in such systems are most sensitive to the distance of closest approach between the central curves which approximate their configuration, subjecting these distinct assemblies to common geometric constraints. Dual to strong dependence of inter-filament interactions on changes in the distance of closest approach is their relative insensitivity to reptations, translations along the filament backbone. In this dissertation, after briefly reviewing the mechanics and …
Controlled Membrane Remodeling By Nanospheres And Nanorods: Experiments Targeting The Design Principles For Membrane-Based Materials, Sarah Zuraw-Weston
Controlled Membrane Remodeling By Nanospheres And Nanorods: Experiments Targeting The Design Principles For Membrane-Based Materials, Sarah Zuraw-Weston
Doctoral Dissertations
In this thesis we explore two experimental systems probing the interactions of nanoparticles with lipid bilayer membranes. Inspired by the ability of cell membranes to alter their shape in response to bound particles, we report two experimental studies: one of nanospheres the other of long, slender nano-rods binding to lipid bilayer vesicles and altering the membrane shape. Our work illuminates the role of particle geometry, particle concentration, adhesion strength and membrane tension in how membrane morphology is determined. We combine giant unilamellar vesicles with oppositely charged nanoparticles, carefully tuning adhesion strength, membrane tension and particle concentration. In the case of …
Understanding The Fundamentals Of Ionic Conductivity In Polymer Electrolytes, Eric Wayne Stacy
Understanding The Fundamentals Of Ionic Conductivity In Polymer Electrolytes, Eric Wayne Stacy
Doctoral Dissertations
The rate of advancement for mobilized electronic technologies is outpacing the development of small efficient batteries. Lithium-ion batteries are currently the most widely used energy storage device for consumer electronics. Traditional lithium-ion batteries use a liquid electrolyte to separate the cathodes and anodes; however, conventional liquid electrolytes have inherent problems, such as consisting of flammable carbonate components, hazardous material, and have a significant cost/weight in the battery. In addition, the liquid electrolyte cannot prevent the growth of lithium dendrites during the charge/discharge cycle of the lithium-ion battery. These dendrites can connect the anode to the cathode of the battery cell …
Nano- And Micro-Structured Temperature-Sensitive Hydrogels For Rapidly Responsive Devices, Qi Lu
Nano- And Micro-Structured Temperature-Sensitive Hydrogels For Rapidly Responsive Devices, Qi Lu
Doctoral Dissertations
This thesis aims to extend the understanding and explore the application of temperature-responsive hydrogel systems by integrating microelectromechanical systems (MEMS). Stimuli-responsive hydrogel systems are immensely investigated and applied in numerous fields, and interfacing with micro- and nano-fabrication techniques will open up more possibilities. In Chapter 2, the first biologically relevant, in vitro cell stretching device based on hydrogel surface instability was developed. This dynamic platform is constructed by embedding micro-heater devices under temperature-responsive surface-attached hydrogels. The fast and regional temperature change actuates the stretching and relaxation of the seeded human artery smooth muscle cell (HASMC) via controllable surface creasing instability. …
Kinetics Of The Crystal-Melt Phase Transformation In Semicrystalline Polymers, Kiran Subramaniam Iyer
Kinetics Of The Crystal-Melt Phase Transformation In Semicrystalline Polymers, Kiran Subramaniam Iyer
Doctoral Dissertations
The assembly of long-chain polymers into an ordered state is a process that has puzzled polymer scientists for several decades. A process that is largely controlled by the strength of intermolecular attractions in small molecular systems, this crystallization in the case of polymers is controlled by a competition between the aforementioned force of attraction between monomers and the formidable conformational entropy of polymer chains. Any factor that affects this conformational entropy, whether that is an equilibrium thermodynamic factor or a kinetic factor, has the ability to control polymer crystallization. In this thesis, we focus on understanding the underlying kinetic processes …
Characterization Of The Anomalous Ph Of Aqueous Nanoemulsions, Kieran P. Ramos
Characterization Of The Anomalous Ph Of Aqueous Nanoemulsions, Kieran P. Ramos
Doctoral Dissertations
Aqueous water-in-oil nanoemulsions have emerged as a versatile tool for use in microfluidics, drug delivery, single-molecule measurements, and other research. Nanoemulsions are often prepared with perfluorocarbons which are remarkably biocompatbile due to their stability, low surface tension, lipophobicity, and hydrophobicity. Therefore it is often assumed that droplet contents are unperturbed by the perfluorinated surface. However, in microemulsions, which are similar to nanoemulsions, it is known that either the pH of the aqueous phase or the ionization constants of encapsulated molecules are different from bulk solution. There is also recent evidence of low pH in perfluorinated aqueous nanoemulsions. The current underlying …
Reactive And Stimuli-Responsive Sulfonium-Based Polymer Zwitterions, Cristiam Santa Chalarca
Reactive And Stimuli-Responsive Sulfonium-Based Polymer Zwitterions, Cristiam Santa Chalarca
Doctoral Dissertations
This dissertation describes the synthesis and characterization of novel monomers and (co)polymer zwitterions that incorporate trialkylsulfonium cations. The novel materials presented herein constitute a unique type of polymer zwitterions that exhibit salt- and temperature-dependent water solubility as well as inherent reactivity. The behavior of these polymers in aqueous solutions, as nanostructures, and at liquid-liquid interfaces was studied; in all cases, the inherent reactivity of the polymers was harnessed towards the fabrication of novel polymers and soft materials. Following an introductory chapter, Chapter 2 describes the synthesis of sulfonium sulfonate monomers and polymer zwitterions. Both styrenic and methacrylic monomers were synthesized …
Characterization Of The Motion Of Cellulose Synthase Protein Complexes In The Plant Cell Membrane, Nina Zehfroosh
Characterization Of The Motion Of Cellulose Synthase Protein Complexes In The Plant Cell Membrane, Nina Zehfroosh
Doctoral Dissertations
The polysaccharide cellulose is the main component of plant cell walls, so it is the most abundant polymer on Earth. While it is widely used in industry due to its remarkable properties, such as renewability and biodegradability, its biosynthesis is still not well understood. The large transmembrane protein Cellulose Synthase Complex (CSC) is responsible for synthesizing cellulose by polymerizing UDP glucose into the constituent glucan chains of cellulose. In this project, I used variable angle epi-fluorescence microscopy (VAEM) in combination with single-particle tracking to characterize the motion of GFP labeled CSCs in the hypocotyl of Arabidopsis thaliana (A. thaliana …
Swelling Induced Deformation Of Thermally Responsive Hydrogels, Ying Zhou
Swelling Induced Deformation Of Thermally Responsive Hydrogels, Ying Zhou
Doctoral Dissertations
Hydrogels are crosslinked polymeric networks imbibed with aqueous solutions. They undertake dramatic volume changes through swelling and deswelling processes, which can be stimulated by factors like temperature, pH or different chemicals. These unique properties render hydrogels particularly interesting for shape morphing related applications. In this thesis, we focus on the swelling induced deformation of thermally responsive hydrogels with lower critical solution temperatures (LCSTs), including poly(N-isopropylacrylamide) (PNIPAm) and poly(N,N-diethylacrylamide) (PDEAm). Particularly, benzophenone containing monomers are copolymerized with NIPAm or DEAm to create photocrosslinkable temperature-responsive polymers, which allows fabrication of hydrogels with controlled shapes and crosslinking …
Measured Capillary Forces On Spheres At Liquid Interfaces And The Mechanics Of Interfacial Particulate Assemblies, Wei He
Doctoral Dissertations
Particle-laden interfaces have promising potentials in many fields because the particulate nature can endow the surface with physical properties that are not readily obtained from molecular-scale surfactants. In this dissertation, we first focus on measuring capillary forces on particles at fluid interfaces in order to assess the key parameters that yield effective stabilizing particles. In experiment, the force and the displacement of a millimeter-scale particle passing through a liquid interface were recorded. We find that the peak force needed to detach a particle from an interface crowded with other particles is consistently smaller than the force at a clean interface. …
Preparation, Mechanics And Structure Of Sphere Packings Near The Random Loose Packing Limit, Greg Robert Farrell
Preparation, Mechanics And Structure Of Sphere Packings Near The Random Loose Packing Limit, Greg Robert Farrell
Doctoral Dissertations
Packings of monodisperse, hard spheres serve as an important model system in the understanding of granular materials which are ubiquitous in nature and industry from sedimented river beds, to construction aggregates, to pharmaceuticals. Unlike frictionless hard spheres which are only stable at densities near the random close packing volume fraction, packings of real spheres form stable packings over a range of volume fractions. We report experimental investigations of sedimented packings of noncohesive polymethyl-methacrylate spheres over a range of volume fractions near the lower limit of this range of volume fractions. We create packings by slow sedimentation in a viscous fluid …
Geometry, Growth And Pattern Formation In Thin Elastic Structures, Salem Al-Mosleh
Geometry, Growth And Pattern Formation In Thin Elastic Structures, Salem Al-Mosleh
Doctoral Dissertations
Thin shells are abundant in nature and industry, from atomic to planetary scales. The mechanical behavior of a thin shell depends crucially on its geometry and embedding in 3 dimensions (3D). In fact, the behavior of extremely thin shells becomes scale independent and only depends on geometry. That is why the crumpling of graphene will have similarities to the crumpling of paper. In this thesis, we start by discussing the static behavior of thin shells, highlighting the role of asymptotic curves (curves with zero normal curvature) in determining the possible deformations and in controlling the folding patterns. In particular, we …