Franklin

Stretch, twist, fold : the fast dynamo / Stephen Childress, Andrew D. Gilbert.

Author/Creator:
Childress, Stephen, author.
Publication:
Berlin ; Heidelberg : Springer Verlag, [1995]
Format/Description:
Book
1 online resource (XI, 408 p. 41 illus., 16 illus. in color.)
Edition:
1st ed. 1995.
Series:
Lecture Notes in Physics Monographs, 0940-7677 ; 37
Lecture Notes in Physics Monographs, 0940-7677 ; 37
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Subjects:
Mathematical physics -- Textbooks.
Physics -- Research.
Form/Genre:
Electronic books.
Language:
English
Summary:
This monograph addresses those interested in the study of planetary or solar magnetic fields, astronomers and geophysicists, researchers and students alike. The authors explore dynamo action under conditions appropriate to large astrophysical bodies, the magnetic Reynolds number of the flow being large compared to unity. In this limit dynamo action becomes closely linked with stretching properties of the flow. The concept of a fast dynamo is explained and studied using various methods from dynamical systems theory. Emphasis is placed on explicit, simple examples of fast dynamos. These examples suggest the beginnings of a theory of fast dynamo action, and link the physical process to the analysis of the stretching, folding, and twisting properties of the flow. A number of special formulations are considered, including dynamo action in almost integrable flows, dynamo action in the anti-integrable limit, and the analysis of random fast dynamos.
Contents:
Introduction: Ideas and Examples
The Fast Dynamo Problem
Fast Dynamo Action in Flows
Fast Dynamos in Maps
Methods and Their Application
Dynamos and Non-dynamos
Magnetic Structure in Steady Integrable Flows
Upper Bounds
Magnetic Structure in Chaotic Flows
Nearly Integrable Flows
Spectra and Eigenfunctions
Strongly Chaotic Systems
Random Fast Dynamos
Dynamics.
Notes:
Bibliographic Level Mode of Issuance: Monograph
Description based on print version record.
Contributor:
Gilbert, Andrew D., author.
ISBN:
3-540-44778-4
Publisher Number:
10.1007/978-3-540-44778-8 doi