By Antonio Ferriz-Mas, Manuel Nunez

ISBN-10: 041528788X

ISBN-13: 9780415287883

Nonlinear dynamo concept is vital to knowing the magnetic buildings of planets, stars and galaxies. In chapters contributed via the various major scientists within the box, this article explores a number of the contemporary advances within the box. either kinetic and dynamic methods to the topic are thought of, together with quickly dynamos, topological tools in dynamo conception, physics of the sun cycle and the basics of suggest box dynamo. Advances in Nonlinear Dynamos is perfect for graduate scholars and researchers in theoretical astrophysics and utilized arithmetic, fairly these attracted to cosmic magnetism and comparable themes, comparable to turbulence, convection, and extra common nonlinear physics.

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**Extra resources for Advances in Nonlinear Dynamos (The Fluid Mechanics of Astrophysics and Geophysics) **

**Sample text**

Phys. 40, 782–790 (1962). , “Self-excitation of a magnetic field during the motion of a highly conducting fluid,” Soviet Phys. JETP 20, 726–735 (1965a). , “Theory of the hydromagnetic dynamo,” Soviet Phys. JETP 20, 1462–1471 (1965b). , “Solar dynamos: computational background,” in Lectures on Solar and Planetary Dynamos (Eds. Gilbert), Cambridge UP, pp. 117–159 (1994). F. , “Magnetic structures in a dynamo simulation,” J. Fluid Mech. 306, 325–352 (1996). Brandenburg, A. , “Simulations of an alpha-effect due to magnetic buoyancy,” Astron.

The first bounds the growth rate of any fast dynamo from above by the largest Lyapunov exponent of the flow, when the diffusion is arbitrarily small but finite. However, included in the spectrum of possible Lyapunov exponents are those associated with isolated stagnation points. One can have positive values for these in flows which would not otherwise be regarded as chaotic: steady axisymmetric stagnation point flow is a case in point. Klapper and Young proved a stronger result: the growth rate is bounded above by a quantity called the topological entropy.

If this expectation is correct, there would be no room for a negative diffusion coefficient β because it renders the transport equation ill-posed. Several authors have pointed out that the diffusion coefficient β may be negative under certain circumstances, but this is certainly not © 2003 Taylor & Francis The field, the mean and the meaning 23 generally accepted because it is unclear to what extent it is the result of cutting off a divergent higher-order-correlation expansion. 6. 4. 48) at zero growth rate depicts the dynamo as strictly periodic, with an infinite phase memory.

### Advances in Nonlinear Dynamos (The Fluid Mechanics of Astrophysics and Geophysics) by Antonio Ferriz-Mas, Manuel Nunez

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