Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 20 for “"quenched disorder"”.
-
Noisy Transport in Reaction-Diffusion Systems With Quenched Disorder
In order to determine the nature of transport in this system analytically, I will use a variety of tools drawn from disparate sources, including the theory of hopping conduction in doped semiconductors and first passage percolation. These tools will allow for predictions to be made for a number of …
-
The role of quenched disorder, interfaces and confinement on the glassy dynamics of colloidal suspensions, thermal liquids and films
… metallic, polymer) fluids in the presence of quenched disorder, interfaces and/or confinement is of fundamental science importance and relevant for materials applications. My overarching goal is to construct new, microscopic, force-level statistical mechanical theories to determine …
-
Statistical Physics of Soft Random Solids: Vulcanization, Heterogeneity, and Elasticity
… applies replica field theory to deal with their quenched disorder and thermal fluctuations. The elastic deformations of soft random solids are argued to be described by the Goldstone sector of fluctuations contained in the vulcanization theory, associated with a subtle form of spontaneous …
-
Avalanches in disordered systems
… of non-equilibrium, avalanching models with quenched disorder to three different sys- tems. The first system is the neuronal network in in vitro rat cortex; neurons generate electrical impulses that travel along axons and dendrites to potentiall influence the behavior of other neurons. The …
-
Statistical Mechanics of the Amorphous Solid State of Randomly Cross-Linked Macromolecules
… that accounts for both thermal fluctuations and quenched disorder. It is found that the shear modulus grows continuously from zero at the transition, and does so with the classical exponent, i.e., with the third power of the excess crosslink density. It is also found that, quite surprisingly, the …
-
Disorder at first-order classical and quantum phase transitions
<p>"This dissertation studies the effects of quenched disorder on classical, quantum and nonequilibrium phase transitions. After a short introduction which covers the basic concepts of phase transitions, finite-size scaling and random disorder, the dissertation focuses on four separate but related …
-
Physics of liquid crystals embedded in silica gels
… fractal gel network that introduces quenched disorder. As a result, the nematic to smectic-A transition is replaced by the growth of static short range smectic correlations. The X-ray scattering profile has two contributions: a thermal fluctuation term which resembles that of the pure …
-
Statistical physics of error-correcting codes
… replica method to calculate averages over the quenched disorder represented by the code constructions, the arbitrary messages and the random noise vectors. We find, as the noise level increases, a phase transition between successful decoding and failure phases. This phase transition coincides …
-
Plasticity as a depinning phase transition
… universality class, even though there is no quenched disorder. We also use dislocation dynamics and scaling arguments in two dimensions to show that the critical stress grows with the square root of the dislocation density (Taylor's relation). Consequently, dislocations jam at any density, in …
-
Microscopic Theory of Linear Response in Amorphous Materials
… to study dielectric and mechanical properties of disordered materials, as well as non-centrosymmetric crystals. The Caldeira-Leggett Hamiltonian opens a route to the (both Markovian and nonMarkovian) fluctuation-dissipation theorem (FDT) and gives rise to the generalised Langevin equation (GLE) in …
-
Pattern formations and relaxation dynamics in non-equilibrium systems
… simulations. The Magnus force enhances the disorder of the system at high noise strengths while we observe a dynamic regime with slow decaying correlations at low noise strengths. The different regimes are characterized by changes in the aging exponent. In general, the Magnus force …
-
Duality and strongly correlated systems in two dimensions
… (RG) can inform one another: the interplay of quenched disorder and strong interaction effects near quantum critical points. In particular, we focus on the problem of quenched disorder at the superfluid-insulator transition of the O(N) model in the large-N limit. While a random mass is strongly …
-
Spectral and dynamical properties of disordered and noisy quantum spin models
… spin systems in the presence of either I) quenched disorder, or II) dynamical noise. In the first part, the quantum random energy model (QREM), a mean-field spin glass model with a many-body localisation transition, is studied. In Chapter 2, we attempt a diagrammatic perturbative analysis …
-
Anomalous transport through porous and fractured media
… we study transport through lattice networks with quenched disorder. We again observe anomalous transport originating from the interplay between velocity heterogeneity and velocity correlation. We extend the developed CTRW model to capture the full multidimensional particle transport dynamics for a …
-
Statistical mechanics of the amorphous solid state of randomly crosslinked macromolecules
… that accounts for both thermal fluctuations and quenched disorder. It is found that the shear modulus grows continuously from zero at the transition, and does so with the classical exponent, i.e., with the third power of the excess crosslink density. It is also found that, quite surprisingly, the …
-
Statistics, geometry, and mechanical states in cellular matter
… from tense states to relaxed states. The quenched disorder on cell properties can significantly alter the position of the transition and statistics of Cucumis experiments indicate that the systems are right at the transition. The wildtype Drosophila compound eye exhibits regular hexagonal …
-
Understanding Disordered Systems Through Numerical Simulation and Algorithm Development
<p>Disordered systems arise in many physical contexts. Not all matter is uni-</p> <p>form, and impurities or heterogeneities can be modeled by fixed random disor-</p> <p>der. Numerous complex networks also possess fixed disorder, leading to appli-</p> <p>cations in transportation systems [1], …
-
Structure, slow dynamics, kinetic arrest, and massively reconfigurable assembly in colloidal suspensions
… soft solids they can form, and how quenched disorder can be used to drive equilibrium assembly. These fundamental science topics are highly relevant for materials science and engineering applications. Chapters 2 through 5 focus predominantly on slow dynamics, kinetic arrest and …
-
Mechanics and Kinetics of Microtubules in Their Environment
… this thesis, I first examine the effect of the quenched-disordered intracellular cytoskeleton network on the critical buckling of MTs. I apply the replica technique and find that the disorder reduces the critical buckling force, and the increase in disorder strength acts as the trigger of the …