Results 21 to 30 of about 101,409 (215)
Microscopic derivation of Ginzburg-Landau theories for hierarchical quantum Hall states
SciPost Physics, 2020 We propose a Ginzburg-Landau theory for a large and important part of the abelian quantum Hall hierarchy, including the prominently observed Jain sequences.
Yoran Tournois, Maria Hermanns, Thors Hans Hansson
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A comparison of Landau-Ginzburg models for odd-dimensional Quadrics [PDF]
, 2018 In [Rie08], the second author defined a Landau-Ginzburg model for homogeneous spaces G/P, as a regular function on an affine subvariety of the Langlands dual group.
Rietsch, Konstanze, Pech, Clelia
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A geometric Ginzburg–Landau problem [PDF]
Mathematische Zeitschrift, 2012 Let \(M\) be a closed surface smoothly embedded in \(\mathbb R^3\). If \(\nu\) is its normal vector, \(A\) is its second fundamental form, and \({\mathcal H}^n\) is the \(n\)-dimensional Hausdorff measure, then for \(\varepsilon > 0\), the integral \[ E_\varepsilon(M)=\frac{\sqrt\varepsilon}2\int\limits_M\left(|A|^2+\frac{\nu_1^2}{\varepsilon^2}\right ...
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Curl-free Ginzburg–Landau vortices [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 1999 For certain nonlinear elliptic PDE problems in two dimensions, the classical isoperimetric inequality produces a sharp inequality that violates a Pohozaev identity except for radial symmetric, decreasing solutions. A generalized version of this technique is used here to prove radial symmetry of curl-free Ginzburg-Landau vortices.
Chanillo, Sagun +1 more
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Controllability of the Ginzburg–Landau equation
Comptes Rendus. Mathématique, 2007 This Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg–Landau equation. Null-controllability results are derived from a Carleman estimate and an analysis based upon the theory of sectorial operators.
Rosier, Lionel, Zhang, Bing-Yu
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THE GINZBURG–LANDAU EQUATION IN THE HEISENBERG GROUP [PDF]
Communications in Contemporary Mathematics, 2008 We consider a functional related with phase transition models in the Heisenberg group framework. We prove that level sets of local minimizers satisfy some density estimates, that is, they behave as "codimension one" sets. We thus deduce a uniform convergence property of these level sets to interfaces with minimal area.These results are then applied in ...
BIRINDELLI, Isabella, VALDINOCI E.
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Solution Theory of Ginzburg-Landau Theory on BCS-BEC Crossover
Advances in Mathematical Physics, 2014 We establish strong solution theory of time-dependent Ginzburg-Landau (TDGL) systems on BCS-BEC crossover. By the properties of Besov, Sobolev spaces, and Fourier functions and the method of bootstrapping argument, we deduce that the global existence of ...
Shuhong Chen, Zhong Tan
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Journal of High Energy Physics, 2017 We study the class of indecomposable two-dimensional Landau-Ginzburg theories with (2,2) supersymmetry and central charge c < 6 with the aim of classifying all such theories up to marginal deformations.
Ian C. Davenport, Ilarion V. Melnikov
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The energy of Ginzburg–Landau vortices
European Journal of Applied Mathematics, 2002 We consider the Ginzburg–Landau equation in dimension two. We introduce a key notion of the vortex (interaction) energy. It is defined by minimizing the renormalized Ginzburg–Landau (free) energy functional over functions with a given set of zeros of given local indices.
Ovchinnikov, Y. N., Sigal, I. M.
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Ginzburg–Landau equations and their generalizations
Indagationes Mathematicae, 2023 The Ginzburg-Landau equations were proposed in the superconductivity theory to describe mathematically the intermediate state of superconductors in which the normal conductivity is mixed with the superconductivity. It was understood later on that these equations play an important role also in various problems of mathematical physics.
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