In a superconductor the electrons rotate around a core where the density of superconducting electrons drops to zero. We'll first investigate how this structure leads to the quantization of magnetic flux.James Charbonneau∗Charbonneau J. Introduction to the Ginzburg-Landau equations. Vancouver (BC, ...
The complex Ginzburg–Landau equation (CGLE), probably the most celebrated nonlinear equation in physics, describes generically the dynamics of oscillating, spatially extended systems close to the onset of oscillations. Using symmetry arguments, this article gives an easy access to this equation and an...
arise from to the balance between a positive feedback mechanism chemical reactions, light-matter interaction that tends to amplify spatial inhomogeneities, and a transport pro- cess such as diffusion, thermal diffusivity or diffraction, which on the contrary tends to restore spatial uniformity. ...
4.4.2. Ginzburg–LandauExpansion . . . . . . . . . . . . . . . . . . . 118 4....
P. Krekhov, "An in- troduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns" arXiv:1410.7285 [cond-mat.stat-mech]P.C. Hohenberg and A.P. Krekhov. An introduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns. Phys. Rep., ...
An elementary overview is given of the most frequently used models in the theory of superfluidity and superconductivity. The Gross-Pitaevskii, Ginzburg-Landau and time-dependent Ginzburg-Landau equations are derived, and their conditions of applicability are discussed. Some applications are considered ...
The complex Ginzburg–Landau equation (CGLE), probably the most celebrated nonlinear equation in physics, describes generically the dynamics of oscillating, spatially extended systems close to the onset of oscillations. Using symmetry arguments, this article gives an easy access to this equation and ...
The small quantum cohomology algebra, regarded as an example of a Frobenius manifold, is described in the original naive manner, without going into the technicalities of a rigorous definition. Then three well known analytic phenomena related to quantum cohomology are reviewed: the Landau-Ginzburg ...