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Vortex lattices of layered HTSCs at different vortex-vortex interaction potentials. [PDF]
Beilstein J NanotechnolLenkov VP +3 more
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Dynamics of Ginzburg-Landau Vortices
Archive for Rational Mechanics and Analysis, 1998Mathematics Technical ...
Jerrard, Robert Leon, Soner, Halil Mete
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The Ginzburg–Landau approach to oscillatory media
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1994Close to a supercritical Hopf bifurcation, oscillatory media may be described, by the complex Ginzburg–Landau equation. The most important spatiotemporal behaviors associated with this dynamics are reviewed here. It is shown, on a few concrete examples, how real chemical oscillators may be described by this equation, and how its coefficients may be ...
Kramer, Lorenz +3 more
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On the Ginzburg-Landau Wave Equation
Bulletin of the London Mathematical Society, 1990Consider the initial value problem of the Ginzburg-Landau wave equation with a general power self-interaction term: \[ (*)\quad \phi_ t=(1+i\alpha)\Delta \phi +(1+i\beta)\phi -(1+i\gamma)| \phi |^{\mu -1}\phi,\quad x\in {\mathbb{R}}^ n,\quad t>0, \] \[ \phi (x,0)=\phi_ 0(x),\quad x\in {\mathbb{R}}^ n, \] where \(\phi\) is a complex scalar function ...
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Sobolev Gradients and the Ginzburg--Landau Functional
SIAM Journal on Scientific Computing, 1998Summary: We describe a Sobolev gradient method for finding minima of the Ginzburg-Landau functional for superconductivity. This method leads to a particularly simple algorithm which avoids consideration of the nonlinear boundary conditions associated with the Ginzburg-Landau equations.
J. W. Neuberger, Robert J. Renka
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Dynamic Bifurcation of the Ginzburg--Landau Equation
SIAM Journal on Applied Dynamical Systems, 2004Summary: We study in this article the bifurcation and stability of the solutions of the Ginzburg-Landau equation, using a notion of bifurcation called attractor bifurcation. We obtain in particular a full classification of the bifurcated attractor and the global attractor as \(\lambda\) crosses the first critical value of the linear problem ...
Tian Ma, Jungho Park, Shouhong Wang
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2004
In the self-consistent field theory discussed in Chap. 3, the conformation entropy of the chains is evaluated accurately using the path integral formaliser. A further simplification of the model can be made by approximating the conformational entropy and the free energy. A typical example is the Ginzburg -Landau model. In this model, the free energy is
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In the self-consistent field theory discussed in Chap. 3, the conformation entropy of the chains is evaluated accurately using the path integral formaliser. A further simplification of the model can be made by approximating the conformational entropy and the free energy. A typical example is the Ginzburg -Landau model. In this model, the free energy is
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1997
The London theory (Chap. 2) did not take into account quantum effects. The first quantum (phenomenological) theory of superconductivity was the Ginzburg—Landau (GL) theory [23].
V. V. Schmidt +2 more
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The London theory (Chap. 2) did not take into account quantum effects. The first quantum (phenomenological) theory of superconductivity was the Ginzburg—Landau (GL) theory [23].
V. V. Schmidt +2 more
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