Ginzburg-Landau theory
Computing cross fields A PDE approach based on the Ginzburg-Landau theory
... We compute the analytical location of critical points of a directional field defined on the unit disk. The calculations 221[r] ...
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A Ginzburg-Landau model with topologically induced free discontinuities
... A GINZBURG-LANDAU MODEL WITH TOPOLOGICALLY INDUCED FREE DISCONTINUITIES MICHAEL GOLDMAN, BENOˆ IT MERLET, AND VINCENT MILLOT ...the Ginzburg-Landau model in 2D and of the Mumford-Shah ...
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Radial symmetry on three-dimensional shells in the Landau-de Gennes theory
... and Landau-de Gennes theories, of which the Landau-de Gennes theory is the most general, have received considerable attention in the mathematical and modelling literature [10, 5, ...the ...
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Analysis of singularities in elliptic equations : the Ginzburg-Landau model of superconductivity, the Lin-Ni-Takagi problem, the Keller-Segel model of chemotaxis, and conformal geometry
... Jerrard, Montero, and Sternberg [JMS04] established the existence of locally minimiz- ing vortex solutions to the full Ginzburg-Landau energy in 3D, by using a construction in the spirit of [MSZ04]. Later ...
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Landau damping in dynamical Lorentz gases
... As said above, it is possible to significantly relax the regularity assumption (R2) on σ 1 , for instance just assuming that σ 1 is Schwartz’ class or with a sufficiently large Sobolev regularity (see Appendix A). We ...
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Singularités dans le modèle de Landau-de Gennes pour les cristaux liquides
... General introduction 1 The Landau-de Gennes model for liquid crystals 1.1 Classification of Q-tensors Liquid crystals are matter in an intermediate phase between liquid and crystalline solid states. They are ...
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Singularités dans le modèle de Landau-de Gennes pour les cristaux liquides
... The Landau-de Gennes theory [38] allows for a rather complete description of the local behaviour of the medium, because it accounts for biaxial 1 configurations as ...the Landau-de Gennes ...
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Landau damping and inhomogeneous reference states
... K(x − y)δρ(y)dy (7) where δρ and δφ are the density and potential perturbations respectively. To understand the basic mechanism of Landau damping, we start by for- getting the interaction, keeping only the free ...
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Théorèmes asymptotiques pour les équations de Boltzmann et de Landau
... the Landau equation converges to the equilibrium in polynomial time, and from the spectral gap estimate for the linearized operator ...Cauchy theory [28] for the nonlinear Landau equation is ...
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Nature de la transition de Landau-Levich
... Mots clefs : interfaces, mouillage, ligne de contact, angle de contact, hystérésis, nombre capillaire, temps de relaxation, bourrelet capillaire. On the Landau-Levich transition. A solid surface can be coated by a ...
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Theoretical studies of PbTiO3 and SrTiO3 under uniaxial mechanical constraints combining first-principles calculations and phenomenological Landau theory
... LGD theory has gained remarkable success due to its ability to describe the first and sec- ond order phase transitions in bulk ferroelectrics, thin films and ...
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Écrire au bord de la guerre : Natalia Ginzburg, Marguerite Duras, Régine Robin
... Dans La Douleur, l’Histoire est signifiée par le corps, non seulement celui de Marguerite qui attend dans la peur et dans la douleur, mais aussi le corps de Robert qui revient à la vie e[r] ...
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On the cubic lowest Landau level equation
... form theory for semilinear quantum harmonic oscillators [21] and states that, for any exponent r and for a full measure set of Hermite multipliers of any given algebraic decay, solutions having an initial data of ...
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Collapse of Landau Levels in Gated Graphene Structures
... 3 Department of Physics, Columbia University, New York, New York 10027, USA (Received 11 March 2010; published 9 February 2011) We describe a new regime of magnetotransport in two-dimensional electron systems in the ...
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La vitesse critique de Landau d'une particule dans un superfluide de fermions
... BCS theory used in section 2 thanks to the RPA [19], that was implemented in great details in reference [13] not only in the weakly interacting regime [18] but even for arbitrarily strong interactions in the ...
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Numerical coupling of Landau damping and Raman amplification
... the Landau damping effect which is a wave-particle process which occurs in under-dense ...The Landau damping process is especially important in the context of fusion by inertial confinement by lasers ...
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Composite Fermi liquids in the lowest Landau level
... Read’s theory leads to non-Abelian topological ordered states that are distinct both from the standard bosonic Pfaffian and the anti-Pfaffian we ...Read’s theory or the original HLR ...Read’s theory ...
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General Landau theory of non-symmetry-breaking and symmetry-breaking spin transition materials
... III. Symmetry breaking phase transition Symmetry breaking (SB) may be associated with structural ordering phenomena, including ferroelectric phase transition, ligand, anion/cations motions, or ferroelastic phase ...
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Recent results for the Landau-Lifshitz equation
... is a solution of the form m(x, t) = f (x/ √ T − t) for (x, t) ∈ R N × (−∞, T ), for certain profile f : R N −→ S 2 . Expanders evolve from a singular value at time T , while shrinkers evolve towards a singular value at ...
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Stabilité des solitons et des multi-solitons pour l'équation de Landau-Lifschitz
... Titre : Stabilité des solitons et des multi-solitons pour l’équation de Landau-Lifshitz. Mot clés : Stabilité, solitons, Landeau-Lifschitz. Résumé : Dans cette thèse, nous étudions l’équation de ...
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