We construct a new aperiodic symplectic plug and hence new smooth counterexamples to the Hamiltonian Seifert conjecture in R for n ≥ 3. In other words, we develop an alternative procedure, to those of V. L. Ginzburg [Gi1, Gi2] and M. Herman [Her], for constructing smooth Hamiltonian flows, on the standard symplectic R for n ≥ 3, which have compact regular level sets that contain no periodic orb...

We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of type B. We also allow arbitrary operator insertions on the boundary and in the bulk. The answer is given by an explicit formula which can be regarded as an open-string generalization of C. Vafa’s for...

We establish the behavior of the energy of minimizers of non-local Ginzburg-Landau energies with Coulomb repulsion in two space dimensions near the onset of multi-droplet patterns. Under suitable scaling of the background charge density with vanishing surface tension the non-local Ginzburg-Landau energy becomes asymptotically equivalent to a sharp interface energy with screened Coulomb interact...

In this paper, we provide the different types of bifurcation diagrams for a superconducting cylinder placed in a magnetic field along the direction of the axis of the cylinder. The computation is based on the numerical solutions of the Ginzburg–Landau model by the finite element method. The response of the material depends on the values of the exterior field, the Ginzburg–Landau parameter and t...

We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of type B. We also allow arbitrary operator insertions on the boundary and in the bulk. The answer is given by an explicit formula which can be regarded as an open-string generalization of C. Vafa’s for...

We present evidence for a deep connection between the zero-temperature coarsening of both the two-dimensional time-dependent Ginzburg-Landau equation and the kinetic Ising model with critical continuum percolation. In addition to reaching the ground state, the time-dependent Ginzburg-Landau equation and kinetic Ising model can fall into a variety of topologically distinct metastable stripe stat...

A theoretical study of toroidal Inelnbranes with various degrees of intrinsic orientational order is presented at mean-field level. The study uses a simple Ginzburg-Landau

Ginzburg-Landau functional is derived for a system possessing both chiral and diquark condensates. Anderson theorem for such a system is formulated and proved.

We construct Landau-Ginzburg Lagrangians for minimal bosonic (N = 0)W models perturbed with the least relevant field, inspired by the theory ofN = 2 supersymmetric Landau-Ginzburg Lagrangians. They agree with the Lagrangians for unperturbed models previously found with Zamolodchikov’s method. We briefly study their properties, e.g. the perturbation algebra and the soliton structure. We conclude...

We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of type B. We also allow arbitrary operator insertions on the boundary and in the bulk. The answer is given by an explicit formula which can be regarded as an open-string generalization of C. Vafa’s for...