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61.
62.
Tao Xu 《Annals of Physics》2010,325(6):1316-1325
Helicity of vortices is studied in a single order parameter Ginzburg-Landau model with n × B term. This unusual term changes the superconductor current, but does not change the quantum of magnetic flux, and the cross helicity of the probability density current in noncentrosymmetric superconductors. In this paper I compute the kinetic helicity and magnetic helicity of a superconductor and introduce a new helicity, i.e. a new topological invariant, to describe vortex phase. 相似文献
63.
本文讨论了一个Ginzburg-Landou模型.通过占位时和经验密度之间的比较定理得到了这个模型的占位时的大偏差,给出了相应的速率函数具体表达式. 相似文献
64.
Fractal Dimension of Random Attractors for Non-autonomous Fractional Stochastic Ginzburg–Landau Equations
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This paper considers the dynamical behavior of solutions for non-autonomous stochastic fractional Ginzburg–Landau equations driven by additive noise with α∈(0, 1). First, we give some conditions for bounding the fractal dimension of a random invariant set of non-autonomous random dynamical system. Second, we derive uniform estimates of solutions and establish the existence and uniqueness of tempered pullback random attractors for the equation in H. At last, we prove the finiteness of fractal dimension of random attractors. 相似文献
65.
The authors establish a general monotonicity formula for the following elliptic system
△ui+fi(x,ui,…,um)=0 in Ω,
where Ω belong to belong to R^n is a regular domain, (fi(x, u1,... ,um)) = △↓F(x,→↑u), F(x,→↑u ) is a given smooth function of x ∈ R^n and →↑u = (u1,…,um) ∈ R^m. The system comes from understanding the stationary case of Ginzburg-Landau model. A new monotonicity formula is also set up for the following parabolic system
δtui-△ui-fi(x,ui,…,um)=0 in(ti,t2)×R^n,
where t1 〈 t2 are two constants, (fi(x,→↑u ) is given as above. The new monotonicity formulae are focused more attention on the monotonicity of nonlinear terms. The new point of the results is that an index β is introduced to measure the monotonicity of the nonlinear terms in the problems. The index β in the study of monotonieity formulae is useful in understanding the behavior of blow-up sequences of solutions. Another new feature is that the previous monotonicity formulae are extended to nonhomogeneous nonlinearities. As applications, the Ginzburg-Landau model and some different generalizations to the free boundary problems are studied. 相似文献
△ui+fi(x,ui,…,um)=0 in Ω,
where Ω belong to belong to R^n is a regular domain, (fi(x, u1,... ,um)) = △↓F(x,→↑u), F(x,→↑u ) is a given smooth function of x ∈ R^n and →↑u = (u1,…,um) ∈ R^m. The system comes from understanding the stationary case of Ginzburg-Landau model. A new monotonicity formula is also set up for the following parabolic system
δtui-△ui-fi(x,ui,…,um)=0 in(ti,t2)×R^n,
where t1 〈 t2 are two constants, (fi(x,→↑u ) is given as above. The new monotonicity formulae are focused more attention on the monotonicity of nonlinear terms. The new point of the results is that an index β is introduced to measure the monotonicity of the nonlinear terms in the problems. The index β in the study of monotonieity formulae is useful in understanding the behavior of blow-up sequences of solutions. Another new feature is that the previous monotonicity formulae are extended to nonhomogeneous nonlinearities. As applications, the Ginzburg-Landau model and some different generalizations to the free boundary problems are studied. 相似文献
66.
In this paper, we obtain that the number of determining nodes for the generalized Ginzburg-Landau equation is two closely points, as a consequence, an upper bound for the winding number of stationary is established in terrns of the parameters in the equation. It is also proven that the fractal dimension of the set of stationary solution is less than or equal to 4. 相似文献
67.
68.
G. Pica A. Andreone F. Palomba M. Salluzzo R. Vaglio G. Malandrino V. Ancarani I.L. Fragalà A. Cassinese G. Müller 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,18(3):405-411
We report on the synthesis, structural and electrical characterization of high quality Tl2Ba2Ca1Cu2O8 (Tl-2212) superconducting films. The samples have been grown ex-situ on mm2 LaAlO3 (100) substrates by a combined approach of metal-organic chemical vapor deposition (MOCVD) and thallium vapor diffusion.
The morphological and compositional nature of the c-axis oriented films has been investigated by SEM and X-ray analyses. Typical values of K and MA/cm2 at 77 K have been measured. Microwave measurements have been performed at f
= 87 GHz inserting the film in a copper cavity and at f
=1.5 GHz on patterned samples using a microstrip resonator technique. A penetration depth nm is evaluated by fitting the microwave data with phenomenological equations. The minimum value of the surface resistance
measured at 4.2 K is 60 and 6 m at 1.5 GHz and 87 GHz respectively. The microwave data are described in the context of a modified two fluid model. An evaluation
of the temperature dependence of the scattering rate has been performed through the simultaneous measurement of the surface
resistance and the penetration depth.
Received 16 December 1999 and Received in final form 17 March 2000 相似文献
69.
Huai Yu JIAN Yan Nan LIU 《数学学报(英文版)》2006,22(6):1831-1842
This paper is devoted to the study of the vortex dynamics of the Cauchy problem for a parabolic Ginzburg Landau system which simulates inhomogeneous type II superconducting materials and three-dimensional superconducting thin films having variable thickness. We will prove that the vortex of the problem is moved by a codimension k mean curvature flow with external force field. Besides, we will show that the mean curvature flow depends strongly on the external force, having completely different phenomena from the usual mean curvature flow. 相似文献
70.
Mo Mu 《计算数学(英文版)》2001,(4)
1. IntroductionDomain decomposition methods have undergone great development in the past decade andthere has been rich mathematical theory for model problems. It is worthy to examine how theSemethods can be effectively applied to predical problems where the model problem analysis doesnot trivially apply. It is far from of~ng that there remains not much new for domain decomposition theoretically and Practically. In terms of domain partition, domain decompositionmethods are claSsiced as twO ir… 相似文献