Simple and rigorous solution for the nonlinear tearing mode

被引：77

作者：

Escande, DF

Ottaviani, M ^{[1
]}

机构：

[1] CEA Cadarache, Assoc EURATOM, DSM, DRFC, F-13108 St Paul Les Durance, France

[2] Univ Aix Marseille 1, CNRS, UMR 6633, Ctr St Jerome, F-13397 Marseille 20, France

来源：

PHYSICS LETTERS A | 2004年 / 323卷 / 3-4期

关键词：

nonlinear tearing modes; magnetic islands; nonlinear asymptotic matching; nonlinear boundary layer problems;

D O I：

10.1016/j.physleta.2004.02.010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The nonlinear evolution and saturation of tearing modes is described in the small magnetic island width limit by a new approach which is rigorous, simple, and accurate. Within the usual asymptotic matching technique, a new scaling ansatz avoids the use of the traditional j = j (psi) approach, and reduces the nonlinear problem to an elementary linear one. The newly calculated island width is in excellent agreement with available numerical simulations. Tearing mode saturation is interpreted as produced by a local dynamo providing the current sheet required by global magnetic features. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：278 / 284

页数：7

共 10 条

[1]

Abramovitz M., 1972, Handbook of Mathematical Functions, V10th

[2]

Biskamp D, 1993, Nonlinear Magnetohydrodynamics

[3] POLOIDAL MAGNETIC-FIELD FLUCTUATIONS [J].