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SYMMETRY OF UNIAXIAL GLOBAL LANDAU-DE GENNES MINIMIZERS IN THE THEORY OF NEMATIC LIQUID CRYSTALS
(SIAM PUBLICATIONS, 2012)
We extend the recent radial symmetry results by Pisante [J. Funct. Anal., 260 (2011), pp. 892-905] and Millot and Pisante [J. Eur. Math. Soc. (JEMS), 12 (2010), pp. 1069-1096] (who show that the equivariant solutions are ...
Ginzburg-Landau theory for the magnetic and structural transitions in La 1-y (Ca 1-x Sr x ) y MnO 3
(IOP Publishing, 2019-01)
We present a phenomenological theory for the ferromagnetic transition temperature, the magnetic susceptibility at high temperatures, and the structural distortion in the La 1-y (Ca 1-x Sr x ) y MnO 3 system. We construct ...
A VARIATIONAL METHOD FOR GENERATING n-CROSS FIELDS USING HIGHER-ORDER Q-TENSORS
(SIAM PUBLICATIONS, 2021)
An n-cross field is a locally defined orthogonal coordinate system invariant with respect to the hyperoctahedral symmetry group (cubic for n = 3). Cross fields are finding widespread use in mesh generation, computer graphics, ...
Symmetry breaking and restoration in the ginzburg–landau model of nematic liquid crystals
(Springer, 2018-06)
In this paper we study qualitative properties of global minimizers of the Ginzburg-Landau energy which describes light-matter interaction in the theory of nematic liquid crystals near the Freedericksz transition. This model ...
Symmetry breaking and restoration in the ginzburg-landau model of nematic liquid crystals
(2018)
In this paper we study qualitative properties of global minimizers of the Ginzburg-Landau energy which describes light-matter interaction in the theory of nematic liquid crystals near the Freedericksz transition. This model ...
Partial Differential Equations/Optimal Control. Controllability of the Ginzburg–Landau equation
(Elsevier B.V., 2008-02)
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 ...
Linear arrangement of metallic and superconducting defects in a thin superconducting sample
(2013-09-15)
The vortex matter in a superconducting disk with a linear configuration of metallic and superconducting defects is studied. Effects associated to the pinning (anti-pinning) force of the metallic (superconducting) defect ...
Linear arrangement of metallic and superconducting defects in a thin superconducting sample
(2013-09-15)
The vortex matter in a superconducting disk with a linear configuration of metallic and superconducting defects is studied. Effects associated to the pinning (anti-pinning) force of the metallic (superconducting) defect ...
Dynamics of the deconfinement transition of quarks and gluons in a finite volume
(Elsevier B.V., 2009-04-01)
We employ finite elements methods for the approximation of solutions of the Ginzburg-Landau equations describing the deconfinement transition in quantum chromodynamics. These methods seem appropriate for situations where ...
Numerical study of the Ginzburg-Landau-Langevin equation: coherent structures and noise perturbation theory
(Universidade Estadual Paulista (Unesp), 2013-02-21)
Nesta Dissertação apresentamos um estudo numéerico em uma dimensão espacial da equação de Ginzburg-Landau-Langevin (GLL), com ênfase na aplicabilidade de um método de perturbação estocástico e na mecânica estatística de ...