Stretch, Twist, Fold: The Fast Dynamo. 1st ed. 1995

種類:

電子ブック

責任表示:

by Stephen Childress, Andrew D. Gilbert

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1995

著者名:

• Childress, Stephen.
• Gilbert, Andrew D.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Physics Monographs ; 37

ISBN:

9783540447788 [3540447784]    

注記:

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.
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.

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