Lagrangian chaos and the fast kinematic dynamo problem

Effects of conductivity jumps in the envelope of a kinematic dynamo flow

Comptes Rendus Mécanique ◽

10.1016/j.crme.2006.06.008 ◽

2006 ◽

Vol 334 (10) ◽

pp. 593-598 ◽

Cited By ~ 17

Author(s):

Raphael Laguerre ◽

Caroline Nore ◽

Jacques Léorat ◽

Jean-Luc Guermond

Keyword(s):

Kinematic Dynamo

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Kinematic dynamo induced by helical waves

Geophysical & Astrophysical Fluid Dynamics ◽

10.1080/03091929.2014.944517 ◽

2014 ◽

Vol 109 (2) ◽

pp. 159-167 ◽

Cited By ~ 4

Author(s):

Xing Wei

Keyword(s):

Kinematic Dynamo

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Numerical simulations of kinematic dynamo action

Astronomy and Astrophysics ◽

10.1051/0004-6361:20021568 ◽

2002 ◽

Vol 397 (2) ◽

pp. 393-399 ◽

Cited By ~ 29

Author(s):

V. Archontis ◽

S. B. F. Dorch ◽

Å. Nordlund

Keyword(s):

Numerical Simulations ◽

Dynamo Action ◽

Kinematic Dynamo

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The integral equation method for a steady kinematic dynamo problem

Journal of Computational Physics ◽

10.1016/j.jcp.2003.10.034 ◽

2004 ◽

Vol 196 (1) ◽

pp. 102-125 ◽

Cited By ~ 33

Author(s):

M. Xu ◽

F. Stefani ◽

G. Gerbeth

Keyword(s):

Integral Equation ◽

Integral Equation Method ◽

Equation Method ◽

Kinematic Dynamo

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Kinematic dynamo simulations of von Kármán flows: application to the VKS experiment

The European Physical Journal B ◽

10.1140/epjb/e2010-00078-5 ◽

2010 ◽

Vol 74 (2) ◽

pp. 165-176 ◽

Cited By ~ 2

Author(s):

A. Pinter ◽

B. Dubrulle ◽

F. Daviaud

Keyword(s):

Kinematic Dynamo ◽

Von Karman ◽

Von Kármán

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Helioseismic inferences

Proceedings of the International Astronomical Union ◽

10.1017/s1743921309992316 ◽

2009 ◽

Vol 5 (S264) ◽

pp. 33-38

Author(s):

Hiromoto Shibahashi

Keyword(s):

Solar Activity ◽

Linear Approximation ◽

Activity Cycle ◽

Solar Activity Cycle ◽

Convective Zone ◽

Dynamo Model ◽

Kinematic Dynamo ◽

Wide Range ◽

Dynamo Mechanism ◽

Solar Type

AbstractThe brilliant outcome of some 30 years of helioseismology spreads over a wide range of topics. Some highlights relevant to the cause of the solar activity cycle are listed up. The rotation profile in the solar convective zone is discussed as an important source of the dynamo mechanism. The kinematic dynamo model is described in the linear approximation, and the condition for the solar type dynamo is derived. It is shown that comparison of this condition with the rotation profile determined from helioseismology is useful to identify the possible seats of the dynamo.

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Kinematic dynamo problem in a linear velocity field

Journal of Fluid Mechanics ◽

10.1017/s0022112084001488 ◽

1984 ◽

Vol 144 ◽

pp. 1-11 ◽

Cited By ~ 111

Author(s):

Ya. B. Zel'Dovich ◽

A. A. Ruzmaikin ◽

S. A. Molchanov ◽

D. D. Sokoloff

Keyword(s):

Magnetic Field ◽

Spatial Distribution ◽

Velocity Field ◽

Random Matrix ◽

Magnetic Energy ◽

Linear Velocity ◽

Finite Conductivity ◽

Kinematic Dynamo ◽

Linear Velocity Field ◽

The Magnetic Field

A magnetic field is shown to be asymptotically (t → ∞) decaying in a flow of finite conductivity with v = Cr, where C = Cζ(t) is a random matrix. The decay is exponential, and its rate does not depend on the conductivity. However, the magnetic energy increases exponentially owing to growth of the domain occupied by the field. The spatial distribution of the magnetic field is a set of thin ropes and (or) layers.

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