The Meissner effect for superconductors in spacetimes with tor-sion is revisited.Two new physical interpretations are presented.The first considers the Landau-Ginzburg theory yields a new symmetry-breaking vacuum depending on torsion.In the second interpretation a gravitational Meissner torsional effect where when the Higgs field vanishes, torsion and electromagnetic fields need not vanish and ...

For a Selkov–Schnakenberg model as a prototype reaction-diffusion system on two dimensional domains we use the continuation and bifurcation software pde2path to numerically calculate branches of patterns embedded in patterns, for instance hexagons embedded in stripes and vice versa, with a planar interface between the two patterns. We use the Ginzburg-Landau reduction to approximate the locatio...

This article presents a phenomenological dynamic phase transition theory – modeling and analysis – for superfluids. As we know, although the time-dependent Ginzburg-Landau model has been successfully used in superconductivity, and the classical Ginzburg-Landau free energy is still poorly applicable to liquid helium in a quantitative sense. The study in this article is based on 1) a new dynamic ...

The dispersionless Toda hierarchy turns out to lie in the heart of a recently proposed Landau-Ginzburg formulation of two-dimensional string theory at self-dual compactification radius. The dynamics of massless tachyons with discrete momenta is shown to be encoded into the structure of a special solution of this integrable hierarchy. This solution is obtained by solving a Riemann-Hilbert proble...

Thermal fluctuations and material inhomogeneities have a large effect on superconducting phenomena, possibly inducing transitions to the non-superconducting state. To gain a better understanding of these effects, the Ginzburg–Landau model is studied in situations for which the described physical processes are subject to uncertainty. An adequate description of such processes is possible with the...

We compute the Hodge numbers of the polarised (pure) variation of Hodge structure V = grn−1 R f! Z of the Landau-Ginzburg model f : Y → C mirror-dual to a weighted projective space wPn in terms of a variant of Reid’s age function of the anticanonical cone over wPn. This implies, for instance, that wPn has canonical singularities if and only if hn−1,0 V = 1. We state a conjectural formula for th...

Complex Ginzburg-Landau Equations were originated in the theory of Super-conductivity, 13]. When Ginzburg-Landau parameter chosen to be a special constant, the equations are called self-dual vortex equations that were carefully studied by Jaae and Taubes 16]. For the vortex equation on a Riemannian surface , one considers an open, smooth domain with, possibly empty, smooth boundary @. Let L be ...

We search for a Landau–Ginzburg interpretation of non-diagonal modular invariants of tensor products of minimal n = 2 superconformal models, looking in particular at automorphism invariants and at some exceptional cases. For the former we find a simple description as Landau–Ginzburg orbifolds, which reproduce the correct chiral rings as well as the spectra of various Gepner–type models and orbi...

We give a direct proof of the new ”product” expression for the Ramond sector characters of N=2 minimal models recently suggested by E. Witten. Our construction allows us to generalize these expressions to the D and E series of N=2 minimal models, as well as to other N=2 Kazama–Suzuki coset models such as SU(N)×SO(2(N−1))/SU(N−1)×U(1). We verify that these expressions indeed coincide with the co...