Results 21 to 30 of about 34,293 (216)
Coarsening by Ginzburg-Landau Dynamics [PDF]
Communications in Mathematical Physics, 1998 We study slowly moving solutions of the real Ginzburg-Landau equation on the line, by a method due to J. Carr and R.L. Pego. These are functions taking alternately positive or negative values on large intervals. A consequence of our approach is that we can propose a rigorous derivation of a stochastic model of coarsening by successive elimination of ...
Eckmann, J.-P., Rougemont, J.
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A branched transport limit of the Ginzburg-Landau functional [PDF]
, 2018 We study the Ginzburg-Landau model of type-I superconductors in the regime of small external magnetic fields. We show that, in an appropriate asymptotic regime, flux patterns are described by a simplified branched transportation functional. We derive the
Conti, Sergio +3 more
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Solving generalized quintic complex Ginzburg–Landau equation by homotopy analysis method
Ain Shams Engineering Journal, 2018 In this paper, the generalized quintic complex Ginzburg–Landau equation is considered to be solved, by means of the homotopy analysis method (HAM). Two examples are solved to illustrate the efficiency of the proposed method.
Soheila Naghshband +1 more
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Ginzburg-Landau theory of deformable superconductors [PDF]
Physical Review B, 1989 A Ginzburg-Landau theory is presented for a superconductor that can also sustain a weakly first-order structural phase transition. The distortion and the superconducting order parameters are coupled so that the distorted system tends to favor superconductivity. The equations are solved for a variety of situations. It is found that for some range of the
Svensmark, H., Falicov, L.M.
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Irreducible Ginzburg-Landau fields in dimension 2
, 2018 Ginzburg-Landau fields are the solutions of the Ginzburg-Landau equations which depend on two positive parameters, $\alpha$ and $\beta$. We give conditions on $\alpha$ and $\beta$ for the existence of irreducible solutions of these equations. Our results
Nagy, Ákos
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Integrability and chaotic dynamics in nonlinear dispersive stochastic model
Results in Applied MathematicsThis paper focuses on obtaining exact solutions and dynamical analysis of the stochastic real-valued Ginzburg–Landau equation driven by multiplicative Itô noise.
Muhammad Aziz-ur-Rehman +3 more
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Improved Lower Bounds for Ginzburg-Landau Energies via Mass Displacement [PDF]
, 2010 We prove some improved estimates for the Ginzburg-Landau energy (with or without magnetic field) in two dimensions, relating the asymptotic energy of an arbitrary configuration to its vortices and their degrees, with possibly unbounded numbers of ...
Sandier, Etienne, Serfaty, Sylvia
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Anisotropic Ginzburg-Landau and Lawrence-Doniach Models for Layered Ultracold Fermi Gases
, 2012 We study the anisotropic Ginzburg-Landau and Lawrence-Doniach models describing a layered superfluid ultracold Fermi gas in optical lattices. We derive the coefficients of the anisotropic Ginzburg-Landau and the mass tensor as a function of anisotropy ...
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Ginzburg-Landau Polynomials and the Asymptotic Behavior of the Magnetization Near Critical and Tricritical Points [PDF]
, 2008 For the mean-field version of an important lattice-spin model due to Blume and Capel, we prove unexpected connections among the asymptotic behavior of the magnetization, the structure of the phase transitions, and a class of polynomials that we call the ...
Ellis, Richard S. +2 more
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Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover
, 2009 The Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover is derived by the path-integral method. In addition to the standard Ginzburg-Landau equation, a second equation describing the total atom density is obtained.
Huang, Kun, Yin, Lan, Yu, Zeng-Qiang
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