𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a Problem Related to Vortex Nucleation of Superconductivity

✍ Scribed by Xing-Bin Pan; Keng Huat Kwek

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
245 KB
Volume
182
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we study a singularly perturbed nonlinear partial differential system which arises in the mathematical theory of superheating field of superconductivity. We prove that the maximum points of the magnitude of solutions are located near the minimum point of curvature of domain boundary. This verifies rigorously a result of Chapman obtained by formal analysis regarding the location of the vortex nucleation. We also show that the solutions exhibit boundary layers. # 2002 Elsevier Science (USA)

πŸ“œ SIMILAR VOLUMES

A problem of combinatorial designs relat
A problem of combinatorial designs related to authentication codes
✍ Dingyi Pei πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 433 KB πŸ‘ 2 views

The strong partially balanced t-designs can be used to construct authentication codes, whose probabilities Pr of successful deception in an optimum spoofing attack of order r for r = 0, 1, . . . , t -1, achieve their information-theoretic lower bounds. In this paper a new family of strong partially

Solution of a covering problem related t
Solution of a covering problem related to labelled tournaments
✍ Sgall, Ji?οΏ½ πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 462 KB πŸ‘ 2 views

Suppose we have a tournament with edges labelled so that the edges incident with any vertex have at most k distinct labels (and no vertex has outdegree 0). Let m be the minimal size of a subset of labels such that for any vertex there exists an outgoing edge labelled by one of the labels in the subs

A Mechanism of High-Tc Superconductivity
A Mechanism of High-Tc Superconductivity Relating to Perovskite Crystal Structure
✍ Y. S. Wang; P. Bennema; M. N. Zheng; C. M. Fu; P. van der Linden πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 317 KB

## Abstract A mechanism of high‐__T__~c~ superconductivity related to the perovskite crystal structure is proposed by a β€œphonon attenuation model”, which means that in the perovskite‐like crystal structure, a number of β€œordering” vacancies or holes occur due to the non‐stoichiometric structure feat