Dynamo and Dynamics, a Mathematical Challenge

Author:   Pascal Chossat ,  Dieter Armbruster ,  Iuliana Oprea
Publisher:   Springer
Edition:   2001 ed.
Volume:   26
ISBN:  

9780792370697


Pages:   390
Publication Date:   31 July 2001
Format:   Hardback
Availability:   In Print   Availability explained
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Dynamo and Dynamics, a Mathematical Challenge


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Overview

The dynamo effect has been one of the most challenging in modern physics. It has also been one of the most important, since it is believed that the Earth's magnetic field, that of the Sun and astrophysical magnetic fields in general are produced by dynamos resulting from the motion of electrically conducting fluids. Although predicted by theory, the existence, and more specifically, the dynamics of the dynamo have been controversial for many years. Problems have centred around the difficulty of producing a dynamo in the laboratory, and difficulty in solving the equations. Working laboratory dynamos have now been reported. New ideas have emerged to explain the Earth's and Solar dynamos and their 'strange' evolution. Significant progress has been reported in understanding dynamo action in a variety of astrophysical and laboratory fluid flows. The variety and originality of the presentations here make the book an invaluable source for scientists and students interested in the dynamo problem: physicists, astrophysicists, geophysicists, mathematicians and others.

Full Product Details

Author:   Pascal Chossat ,  Dieter Armbruster ,  Iuliana Oprea
Publisher:   Springer
Imprint:   Springer
Edition:   2001 ed.
Volume:   26
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   1.670kg
ISBN:  

9780792370697


ISBN 10:   0792370694
Pages:   390
Publication Date:   31 July 2001
Audience:   Professional and scholarly ,  College/higher education ,  General/trade ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1: Laboratory dynamos, theory and experiments.- A nonstationary dynamo experiment in a braked torus.- Riga Dynamo Experiment.- Generation of magnetic field in the Couette-Taylor system.- Dynamo action, between numercial experiments and liquid sodium devices.- MHD in von Kármán Swirling flows.- Dynamo action in a forced Taylor-Green vortex.- On the possibility of an homogeneous MHD dynamo in the laboratory.- Saturation of a Ponomarenko type fluid dynamo.- Dynamo Action due to Ekman layer Instability.- Hunting for dynamos: eight different liquid sodium flows.- Thermal flow in a rotating spherical gap with a dielectrophoretic central force field.- Preliminary Measurement of the Turbulent Magnetic Diffusivity in three dimensions.- Saturation mechanism in a model of the Karlsruhe dynamo.- 2: Planetary and stellar dynamos, hydrodynamical models and simulations.- Sheared helical turbulence and the helicity constraint in large-scale dynamos.- The inverse cascade in turbulent dynamos.- Rotating magnetoconvection in dependence on stratification, diffusive processes, and boundary conditions.- Small- and large-scale dynamo action in simple forced flows.- Convection driven dynamos in rotating spherical fluid shells.- Dynamos in rotating and nonrotating convection in the form of asymmetric squares.- Magnetoconvection.- On the application of grid-spectral method to the solution of geodynamo equations.- Super- and counter-rotating jets and vortices in strongly magnetic spherical Couette flow.- Large- and small-scale dynamo action.- Dynamo problems in spherical and nearly spherical geometries.- Anelastic planetary magnetohydrodynamics.- 3: Astrophysical dynamos, observations and theory.- The Galactic Dynamo.- Turbulent Diamagnetism and Galactic Dynamo.- Parker instability withCoriolis force and magnetic reconnection as a part of the galactic fast dynamo action.- Magnetic helicity flux and the nonlinear galactic dynamo.- Helioseismic tests of dynamo models.- Asymptotic WKBJ-studies of solar dynamo waves: 1D and 2D cases.- Dynamo effect with inertial modes in a spherical shell?.- Two types of nonlinearities in magnetic dynamo.- The solar dynamo: axial symmetry and homogeneity broken.- Alpha-quenched a2? dynamo waves in stellar shells.- Two-dimensional disk dynamos with vertical outflows into a halo.- 4: Dynamos as dynamical systems, low-order models and phenomenology.- Structurally stable heteroclinic cycles and the dynamo dynamics.- Two-component dynamical model of the solar cycle.- Symmetries of the solar dynamo: comparing theory with observation.- Suicidal and parthenogenetic dynamos.- Heteroclinic cycles and fluid motions in rotating spheres.- Convection-driven dynamos, amplitude equations and large-scale fields.- A heteroclinic model of geodynamo reversals and excursions.- Aspects of the dynamics underlying solar and stellar dynamo models.- Modulation and symmetry-breaking in low-order models of the solar dynamo.

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