Magnetic field transport and kinematic dynamo effect: a Lagrangian interpretation

被引：6

作者：

Celani, A

Mazzino, A

Vincenzi, D

机构：

[1] Univ Gottingen, Max Planck Inst Dynam & Selbstorg, D-37073 Gottingen, Germany

[2] CNRS, INLN, F-06560 Valbonne, France

[3] INFM, I-16146 Genoa, Italy

[4] Univ Genoa, Dipartimento Fis, I-16146 Genoa, Italy

[5] Ist Nazl Fis Nucl, Sez Genova, I-16146 Genoa, Italy

[6] Cornell Univ, LASSP, Ithaca, NY 14853 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2006年 / 462卷 / 2065期

关键词：

dynamo effect; Lagrangian dynamics; statistical conservation laws;

D O I：

10.1098/rspa.2005.1561

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The growth of magnetic fluctuations in the inertial range of turbulence is investigated in terms of fluid particle dynamics. The existence of dynamo effect is related to the time behaviour of the correlations between tangent vectors evolving along Lagrangian trajectories. In the presence of dynamo effect, the correlations between tangent vectors grow exponentially in time; in the absence of dynamo effect they decay as power laws. The above behaviours are intimately related to statistical conservation laws for the Lagrangian dynamics.

引用

页码：137 / 147

页数：11

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