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Titlebook: Stretch, Twist, Fold: The Fast Dynamo; Stephen Childress,Andrew D. Gilbert Book 1995 Springer-Verlag Berlin Heidelberg 1995 Chaotic Dynbam

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发表于 2025-3-21 17:56:07 | 显示全部楼层 |阅读模式
书目名称Stretch, Twist, Fold: The Fast Dynamo
编辑Stephen Childress,Andrew D. Gilbert
视频video
丛书名称Lecture Notes in Physics Monographs
图书封面Titlebook: Stretch, Twist, Fold: The Fast Dynamo; Stephen Childress,Andrew D. Gilbert Book 1995 Springer-Verlag Berlin Heidelberg 1995 Chaotic Dynbam
描述The study of the magnetic fields of the Earth and Sun, as well as those of other planets, stars, and galaxies, has a long history and a rich and varied literature, including in recent years a number of review articles and books dedicated to the dynamo theories of these fields. Against this background of work, some explanation of the scope and purpose of the present monograph, and of the presentation and organization of the material, is therefore needed. Dynamo theory offers an explanation of natural magnetism as a phenomenon of magnetohydrodynamics (MHD), the dynamics governing the evolution and interaction of motions of an electrically conducting fluid and electromagnetic fields. A natural starting point for a dynamo theory assumes the fluid motion to be a given vector field, without regard for the origin of the forces which drive it. The resulting kinematic dynamo theory is, in the non-relativistic case, a linear advection-diffusion problem for the magnetic field. This kinematic theory, while far simpler than its magnetohydrodynamic counterpart, remains a formidable analytical problem since the interesting solutions lack the easiest symmetries. Much ofthe research has focused on
出版日期Book 1995
关键词Chaotic Dynbamics; Dynamo Theory; Integrable Flows; Natural Magnetism; spectra
版次1
doihttps://doi.org/10.1007/978-3-540-44778-8
isbn_softcover978-3-662-14014-7
isbn_ebook978-3-540-44778-8Series ISSN 0940-7677
issn_series 0940-7677
copyrightSpringer-Verlag Berlin Heidelberg 1995
The information of publication is updating

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https://doi.org/10.1007/978-3-540-44778-8Chaotic Dynbamics; Dynamo Theory; Integrable Flows; Natural Magnetism; spectra
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Magnetic Structure in Chaotic Flowstic field and fast amplification mechanisms in steady three-dimensional flows. A ‘cut-paste’ operation is described: this can operate in steady flows with stagnation points to supplement the stretching, folding and shearing of field.
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发表于 2025-3-22 16:05:54 | 显示全部楼层
Strongly Chaotic Systemsnd is an important limit for proving results about chaotic systems (Aubry & Abramovici 1990). For example, using the standard map with parameter . in this limit . → ∞, Rechester & White (1980) have studied diffusion of particles, and Aubry & Abramovici (1990) have shown how periodic orbits bifurcate from a . = ∞ Bernoulli system (see §3.3.2).
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Fast Dynamos in Mapsd a connection between computation with ε ≡ 0 and the limit of computations with ε > 0. In particular the flux conjecture appears justified in all cases of fast dynamo action that have been examined. For three-dimensional steady flows there is some support for fast dynamo action, but there are still
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Dynamos and Non-dynamospics which were introduced in Chap. 1. Aided by the examples of fast dynamos given in Chaps. 2 and 3, we reconsider in §4.1 the formulation of the fast dynamo problem and the role of diffusion. In §4.2 we prove several anti-dynamo theorems, some of which have already been mentioned and used. These c
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