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Stretch, Twist, Fold: The Fast Dynamo (Paperback, Softcover reprint of the original 1st ed. 1995)
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Stretch, Twist, Fold: The Fast Dynamo (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: Lecture Notes in Physics Monographs, 37
Expected to ship within 10 - 15 working days
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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 the simplest acceptable flows and especially on cases
where the smoothing effect of diffusion can be exploited. A close
analog is the advection and diffusion of a scalar field by laminar
flows, the diffusion being measured by an appropriate Peclet
number. This work has succeeded in establishing dynamo action as an
attractive candidate for astrophysical magnetism.
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