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 60 for “"Ginzburg-Landau"”.
-
Numerical Simulation of Ginzburg-Landau Equations
<p>We introduced two methods to discretize the Ginzburg-Landau equations with the help of link variables. With these equations, we build models to simulate the mixed state of type-II superconductivity. We successfully get Abrikosov vortices by solving both in 2D cases and 3D cases. This tells us …
-
A General Study of the Complex Ginzburg-Landau Equation
… partial differential equation, the complex Ginzburg-Landau (CGL) equation. I first employed the perturbative field-theoretic renormalization group method to investigate the critical dynamics near the continuous non-equilibrium transition limit in this equation with additive noise. Due to the …
-
The nonlinear Schroedinger limit of the complex Ginzburg-Landau equation.
This work consists of a study of the complex Ginzburg-Landau equation (CGL) as a perturbation of the nonlinear Schrodinger equation (NLS) in one dimension under periodic boundary conditions. Using an averaging technique which is similar to a Melnikov method for pde's, necessary conditions are …
-
Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations
… localised solutions of the parametrically driven Ginzburg-Landau equation and its nonlinear Schrӧdinger limit. We begin with a detailed analysis of the Faraday Resonance experiment, in which the driven complex Ginzburg-Landau equation (CGLE) arises, and an examination of how the CGLE appears as …
-
A Study of Inhomogeneities and Anisotrophies In Superconductors via Ginzburg-Landau Type models
… current flow. We study a variety of Ginzburg-Landau type models for superconductivity that can account for inhomogeneous and isotropy materials, grain boundaries, and thermal fluctuations. We develop robust, accurate, and efficient numerical codes and apply them to numerous studies of …
-
A finite element analysis of high kappa, high field Ginzburg-Landau type model of superconductivity
… the formulation and analysis of a simplified GinzburgLandau type model of superconductivity which is valid for large K and large magnetic field strengths. This model, referred to as the High kappa model, is derived via formal asymptotic expansion of the full, time-dependent Ginzburg-Landau …
-
On Initial-Boundary Value Problems for the Nonlinear Schroedinger Equation and the Ginzburg-Landau Equation
… existence of the full-line problem for the Ginzburg-Landau equation (GL) is shown in Chapter 3. In Chapter 4, the following results concerning the half-line problem for the Ginzburg-Landau equation are established: (1) local existence-uniqueness; (2) small amplitude solution; (3) criteria …
-
Ferroelectric System Dynamics and the Properties of Ferroelectric / Two-Dimensional Electron Gas Heterostructures: a Ginzburg–Landau Study
… fields. By using a second-order time-dependent Ginzburg–Landau model, we simulate the dynamic polarization hysteresis behavior of a ferroelectric system subjected to a sinusoidal electric field. We examine polarization hysteresis loop structure as a function of both field amplitude and field …
-
Computational Modeling of Superconductivity from the Set of Time-Dependent Ginzburg-Landau Equations for Advancements in Theory and Applications
… are presented. Using the set of time-dependent Ginzburg-Landau (TDGL) equations with inclusion of the interference current and the non-equilibrium phonon term, we modeled the dynamics of superconductors in various theory revealing states and practical purposes. A review of the history and …
-
Numerical study of p-wave superconductivity in Sr2RuO4
… In Chapter 2, I review the conventional Ginzburg- Landau formalism for treating superconductivity. We then extend this formalism to treat p-wave superconductivity. In Chapter 3, I discuss the numerical methods used to solve the coupled Ginzburg-Landau-Maxwell equations for the model. In …
-
Information Geometry For Nonlinear Least-Squares Data Fitting And Calculation Of The Superconducting Superheating Field
… field of a bulk superconductor within the GinzburgLandau, which is valid only near Tc , and Eilenberger theory, which is valid at all temperatures. We calculate as functions of both the Ginzburg-Landau parameter [kappa] and reduced temperature t = T /Tc the superheating field Hsh and the …
-
A study of the effects of spatially localized time-delayed feedback schemes on spatio-temporal patterns
… within chaotic states of the cubic complex Ginzburg-Landau equation We present an investigation of two model systems: the Gray-Scott reaction-diffusion equation and the complex Ginzburg-Landau equation. Specifically we numerically study two models characterized by exhibiting various chaotic …
-
Zero modes and degrees of freedom of topological solitons on the plane
… we analyse the coaxial multivortices of the Ginzburg-Landau, the Euclidean complex sine-Gordon-1 and -2 theories on the plane. More specifically, we determine the number of continuous free parameters describing the largest family of solutions, with these vortices as members. This is …
-
The Bogoliubov equations and their application to a normal-superconducting boundary
… 1 IIn the discussion of the fourth example, the Ginzburg-Landau equations, for arbitrary electronic mean free path, are derived. In addition, the kernels of the Ginzburg-Landau theory are expressed in terms of the wave vector and frequency-dependent, normal conductivity. The Bogoliubov equations …
-
Homogenization of Random Media: Random Walks, Diffusions and Stochastic Interface Models
… of interest: the random conductance model, the Ginzburg-Landau ∇φ model, and the symmetric diffusion process in a random medium. In the second chapter we present some novel research on the random conductance model; a random walk on an infinite lattice, usually taken to be Ζ^d with nearest …
-
Stochastic effects on extinction and pattern formation in the three-species cyclic May–Leonard model
… Langevin description, i.e. the Complex Ginzburg Landau equation with stochastic noise in one complex field. We see that when one restricts the internal reaction noise to small amplitudes, one can obtain a simple form for the stochastic noise correlations that modify the Complex Ginzburg …
-
Visualization of Surfaces and 3D Vector Fields
… magnetic field and current as solutions of the Ginzburg-Landau equations on a 3-D domain.
-
Dynamic mode decomposition with application to optimal control
… to the adjoint-based optimal control of the Ginzburg-Landau equation. The adjoint method uses the governing equations of the system to derive a gradient in the space of admissible inputs. This gradient points toward the choice of input which minimizes a cost functional. A gradient descent …
-
Complex Patterns in Extended Oscillatory Systems
… oder raumzeitlichem Chaos werden. Die komplexe Ginzburg-Landau Gleichung (CGLE) stellt ein universelles Modell zur Beschreibung dieser raumzeitlichen Strukturen dar. Diese Arbeit ist der theoretischen Analyse komplexer Muster gewidmet. Mittels numerischer Bifurkations- und Stabilitätsanalyse …
-
Quantitative studies and Hydrodynamical limits for interacting particle systems
… jump processes as well as diffusion processes of Ginzburg-Landau type, converge to the solution of a nonlinear diffusion equation with an explicit, uniform in time, convergence rate. We discuss how we can extend the result to all the dimensions. Finally a study of the scaling of the spectral gap …
Page 1 of 3