Results 131 to 140 of about 2,286 (187)

Ginzburg–Landau theory

1999
This chapter discusses the extension of the theory to allow spatial variation in the order parameter and determining the shape of the interface and the surface contribution to the free energy. It describes the size of fluctuations of the order parameter, determining whether they are sufficiently small to be ignored or whether they dominate the ...
Roger Bowley, Mariana Sánchez
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Memory driven Ginzburg-Landau model

Physical Review E, 2002
The time evolution of a bistable Ginzburg-Landau model (GL) with a non-Markovian memory term of strength lambda is studied. Due to the nonlinear feedback coupling, the two branches of the stationary solution are not only controlled by the sign of the initial condition P(0), but also by the strength and the sign of lambda.
Steffen, Trimper   +2 more
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Dynamics of Ginzburg-Landau Vortices

Archive for Rational Mechanics and Analysis, 1998
Mathematics Technical ...
Jerrard, Robert Leon, Soner, Halil Mete
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Ginzburg—Landau Theory

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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Nonlocal Ginzburg-Landau Equations

Communications in Theoretical Physics, 1990
Real time Gor'kov equations and the accompanying electric current expression in terms of the retarded Green's functions are established at finite temperatures with the aid of the Closed-Time-Path-Green's-Function formalism. The fluctuation-dissipation theorem then helps us to obtain nonlocal G-L equations near Tc which reduces to the conventional G-L ...
Hong-hua Xu, Chien-hua Tsai
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Ginzburg-Landau Theory

1979
We have seen in Sect.2 that a superconductor often resides in a state of high spatial inhomogeneity. Here the intermediate state and the situation near a domain wall are just an example showing spatial variations of the order parameter. Spatial inhomogeneity is displayed perhaps even more importantly in the case of the vortex state in type-II ...
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Gap solitons in Ginzburg-Landau media

Physical Review E, 2008
We introduce a model combining basic elements of conservative systems which give rise to gap solitons, i.e., a periodic potential and self-defocusing cubic nonlinearity, and dissipative terms corresponding to the complex Ginzburg-Landau (CGL) equation of the cubic-quintic type.
Hidetsugu, Sakaguchi, Boris A, Malomed
openaire   +2 more sources

Ginzburg-Landau vortex analogues

Theoretical and Mathematical Physics, 2000
Asymptotic behaviour as \(\lambda\to \infty\) of solutions \(u:[-1,1]\to \mathbb{C}/ \{0\}\) of the Dirichlet problem \[ u''=\lambda uV'\bigl(|u|^2 \bigr),\;u(1)=e^{i\Phi},\;u(-1)= e^{-i\Phi}, \] where \(\Phi>0\) is a positive constant and \(V:[0,\infty) \to\mathbb{R}\) a smooth function satisfying \[ V(s)\geq 0\;(0\leq s0 \] is investigated.
openaire   +2 more sources

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