Universal time-dependent Ginzburg-Landau theory

(0,2) Landau-ginzburg Theory ⋆

A large class of (0,2) Calabi-Yau σ-models and Landau-Ginzburg orbifolds are shown to arise as different “phases” of supersymmetric gauge theories. We find a phenomenon in the Landau-Ginzburg phase which may enable one to understand which Calabi-Yau σ-models evade destabilization by worldsheet instantons. Examples of (0,2) LandauGinzburg vacua are analyzed in detail, and several novel features ...

Superconductivity: Ginzburg-Landau Theory

Zurek-Kibble Causality Bounds in Time-Dependent Ginzburg-Landau Theory and Quantum Field Theory

Zurek's and Kibble's causal constraints for defect production at continuous transitions are encoded in the field equations that condensed matter systems and quantum fields satisfy. In this article we highlight some of the properties of the solutions to the equations and show to what extent they support the original ideas.

Time-Dependent Ginzburg–Landau: From Single Particle to Collective Behavior

The Ginzburg–Landau theory of phase transitions is one of the most successful and elegant theories that have a very general applicability to a large variety of phenomena. Moreover, its extension into time domain has produced a wealth of interesting new predictions and applications all the way from materials science to cosmology. Here, we describe applications of time-dependent Ginzburg–Landau t...

Asymptotic Behaviour of Time-dependent Ginzburg+Landau Equations of Superconductivity

In this paper, we establish the global fast dynamics for the time-dependent Ginzburg}Landau equations of superconductivity. We show the squeezing property and the existence of "nite-dimensional exponential attractors for the system. In addition we prove the existence of the global attractor in ̧2] ̧2 for the Ginzburg}Landau equations in two spatial dimensions. Copyright ( 1999 John Wiley & Sons, ...