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Nonlocal Ginzburg-Landau Equations
Communications in Theoretical Physics, 1990Real 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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Generalized Nonlocal Ginzburg-Landau Equations
Communications in Theoretical Physics, 1992In a previous paper we established a set of nonlocal Ginzburg-Landan equations near . In this paper this set of equations is generalized to the cases well below . the generalization is characterized by two new kernel functions which can be reduced to a similar form as that obtained previously.
Hong-Hua Xu +2 more
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Stable solitons of quadratic Ginzburg-Landau equations
Physical Review E, 2000We present a physical model based on coupled Ginzburg-Landau equations that supports stable temporal solitary-wave pulses. The system consists of two parallel-coupled cores, one having a quadratic nonlinearity, the other one being effectively linear. The former core is active, with bandwidth-limited amplification built into it, while the latter core ...
, Crasovan +4 more
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Ginzburg–Landau equations for superconductivity
2023Abstract This chapter presents the Ginzburg-Landau equations, which are the core of the phenomenological theory of superconductivity of Ginzburg and Landau. First it follows the historical path to describe the formalism of F. and H. London and derive their equations.
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Stationary Ginzburg–Landau Equations
2020Starting with this Chapter, we will consecutively introduce the basic framework which will eventually allow us to present the derivation of time-dependent Ginzburg–Landau equations.
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The time-dependent Ginzburg–Landau Maxwell equations
Nonlinear Analysis: Theory, Methods & Applications, 1999The paper considers the time dependent Ginzburg-Landau equations coupled with the Maxwell equations. A gradient flow is considered that is governed by a system in which the vector potential obeys parabolic equations, while the Maxwell equations are hyperbolic. The problem of Coulomb gauge invariance is also considered.
Tsutsumi, Masayoshi, Kasai, Hironori
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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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Rotating superconductors: Ginzburg-Landau equations
The European Physical Journal B - Condensed Matter, 2002Superconductors put into rotation develope a spontaneous internal magnetic field (the “London field”). In this paper Ginzburg Landau equations for order parameter, field, and current distributions for superconductors in rotation are derived. Two simple examples are discussed: the massive cylinder and the “Little and Parks geometry”: a thin film of ...
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Optical solitons with complex Ginzburg–Landau equation
Nonlinear Dynamics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirzazadeh, Mohammad +9 more
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