Canonical reduced Ginzburg–Landau models
Thin superconducting structures are considered. We compute several canonical limits. They include the special cases of thin domains under strong magnetic fields and thin domains with small Ginzburg–Landau ...
Richardson, Giles +3 more
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Discovery of Intrinsic Ferromagnetism Induced by Memory Effects in Low-Dimensional System
The impact of dynamic processes on equilibrium properties is a fundamental issue in condensed matter physics. This study investigates the intrinsic ferromagnetism generated by memory effects in the low-dimensional continuous symmetry Landau–Ginzburg ...
Shaolong Zeng +4 more
doaj +1 more source
Analysis of iterative methods for solving a Ginzburg-Landau equation
. Very recently we have proposed to use a complex Ginzburg-Landau equation for high contrast inpainting, to restore higher dimensional (volumetric) data (which has applications in frame interpolation), improving sparsely sampled data and to fill in ...
Alfio Borzi +2 more
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Attraction properties of the Ginzburg-Landau manifold [PDF]
We consider solutions of weakly unstable PDE on an unbounded spatial domain. It has been shown earlier by the first author that the set of modulated solutions (called "Ginzburg-Landau manifold") is attracting.
Eckhaus, W., Shepeleva, A.
core
A Landau-Ginzburg/Calabi-Yau Correspondence for the Mirror Quintic. [PDF]
From High Energy Physics there is a certain expected correspondence between two different physical models, the Landau--Ginzburg model and the geometric or Calabi--Yau model. This correspondence is known as the Landau--Ginzburg/Calabi--Yau correspondence.
Priddis, Nathan Charles
core
Ginzburg-Landau vortices: Dynamics, pinning, and hysteresis
In this paper, we consider three problems related to the mathematical study of vortex phenomena in superconductivity based on the G-L models. First, we study the long-time behavior of the solutions of the time-dependent Ginzburg-Landau equations. Then we
Lin, F.H., Du, Q.
core
A logarithmic extension of the Hölder inequality
We prove a logarithmic extension of the Höllder inequality, motivated by an application to the complex Ginzburg–Landau equation.
Velo G, Ginibre J
doaj
Coarse graining from variationally enhanced sampling applied to the Ginzburg-Landau model. [PDF]
Invernizzi M, Valsson O, Parrinello M.
europepmc +1 more source
Numerical Analysis and Simulation for a Generalized Planar Ginzburg-Landau Equation in a Circular Geometry. [PDF]
Colbert-Kelly S +3 more
europepmc +1 more source
A hybrid analytical-machine learning framework for data-driven modeling of soliton solutions in the complex Ginzburg-Landau equation. [PDF]
Muhammad J, Tedjani AH, Yao F, Younas U.
europepmc +1 more source

