Stretch, twist, fold : the fast dynamo

Bibliographic Information

Stretch, twist, fold : the fast dynamo

Stephen Childress, Andrew D. Gilbert

(Lecture notes in physics, . New series m, Monographs ; m37)

Springer, c1995

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Includes bibliographical references and index

Description and Table of Contents

Description

The study of planetary or solar magnetic fields explains natural magnetism as a phenomenon of magnethydrodynamics. The kinematic dynamo theory, especially the fast dynamo treated in this volume, is simpler but still it presents analytical problems related to chaotic dynamics, for example. This text presents the status of the theory, including techniques of numerical simulations and modelling, along with a summary of results to date. The first three chapters introduce the problem and present examples of fast dynamo action in flows and maps. The remaining nine chapters deal with various analytical approaches and model systems. The book should be useful to astronomers, geophysicists, researchers and students.

Table of Contents

  • Introduction: the fast dynamo problem
  • fast dynamo action in flows
  • fast dynamo in maps. Methods and their applications: 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.

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