2001
DOI: 10.1103/physrevb.64.064517
|View full text |Cite
|
Sign up to set email alerts
|

Approximate Ginzburg-Landau solution for the regular flux-line lattice: Circular cell method

Abstract: A variational model is proposed to describe the magnetic properties of type-II superconductors in the entire field range between Hc1 and Hc2 for any values of the Ginzburg-Landau parameter κ > 1/ √ 2. The hexagonal unit cell of the triangular flux-line lattice is replaced by a circle of the same area, and the periodic solutions to the Ginzburg-Landau equations within this cell are approximated by rotationally symmetric solutions. The Ginzburg-Landau equations are solved by a trial function for the order parame… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

2
31
0

Year Published

2002
2002
2020
2020

Publication Types

Select...
6
1

Relationship

1
6

Authors

Journals

citations
Cited by 32 publications
(33 citation statements)
references
References 40 publications
2
31
0
Order By: Relevance
“…On the other hand, Equation (20) of [9] is a substantial improvement of corresponding Equation (14) of [6] as it is explained in [8] [9] [10] (note that the corresponding Equation (11) [8] contains a typing error, the correct equations are: (2.16) in [10], (20) in [9] and Equation (16) …”
Section: Variational Methodsmentioning
confidence: 99%
See 3 more Smart Citations
“…On the other hand, Equation (20) of [9] is a substantial improvement of corresponding Equation (14) of [6] as it is explained in [8] [9] [10] (note that the corresponding Equation (11) [8] contains a typing error, the correct equations are: (2.16) in [10], (20) in [9] and Equation (16) …”
Section: Variational Methodsmentioning
confidence: 99%
“…It should be noted that this correction of the magnetisation uses the symbolic form of the theoretical result [7] at 1 b → and therefore the solution obtained here remains self-sufficient (even though it now uses two solutions of GL equations: [8] [9] [10] and [7]). So far I did not use any numerical results (the fact that calculated numerically magnetisation m 2 also agree with the conditions of Equations (27), (28) only means that these conditions are just).…”
Section: The Error and The Correctionmentioning
confidence: 99%
See 2 more Smart Citations
“…Instead of the straightforward integration of this equation, it is possible to use trial functions for the coordinate dependence f Lj (r). Notice that different variational procedures allowing one to solve approximately the Ginzburg-Landau equations were used in numerous papers for mesoscopic [7,10,15], bulk [28][29][30][31], and different-shaped [32] superconductors. One can easily show that if Eq.…”
Section: Modelmentioning
confidence: 99%