Topological aspects of the dynamics of fluids and plasmas : NATO Advanced Research Workshop : Papers

This unique , authoritative book introduces and accurately depicts the current state-of-the art in the field of space storms. Professor Koskinen, renowned expert in the field, takes the basic understanding of the system, together with the pyhsics of space plasmas, and produces a treatment of space storms. He combines a solid base describing space physics phenomena with a rigourous theoretical basis. The topics range from the storms in the solar atmosphere through the solar wind, magnetosphere and ionosphere to the production of the storm-related geoelectric field on the ground. The most up-to-date information available ist presented in a clear, analytical and quantitative way. The book is divided into three parts. Part 1 is a phenomenological introduction to space weather from the Sun to the Earth. Part 2 comprehensively presents the fundamental concepts of space plasma physics. It consists of discussions of fundamental concepts of plasma physics, starting from underlying electrodynamics and statistical physics of charged particles and continuing to single particle motion in homogeneous electromagnetic fields, waves in cold plasma approximation, Vlasov theory, magnetohydrodynamics, instabilities in space plasmas, reconnection and dynamo. Part 3 bridges the gap between the fundamental plasma physics and research level physics of space storms. This part discusses radiation and scattering processes, transport and diffiusion, shocks and shock acceleration, storms on the Sun, in the magnetosphere, the coupling to the atmosphere and ground. The book is concluded wtih a brief review of what is known of space stroms on other planets. One tool for building this briege ist extensive cross-referencing between the various chapters. Exercise problems of varying difficulty are embedded within the main body of the text

The intimate relationship between three-dimensional vortex dynamics and topology was recognized as early as 1869 by Lord Kelvin, whose discoveries in fluid dynamics led to the development of knot theory as a well-defined branch of topology. It is only in the last 25 years, however, with the parallel stimulus of the development of magnetohydrodynamics in astrophysical and geophysical contexts, that the great potential of topological techniques in fluid and plasma has been fully recognized.
This volume provides a comprehensive survey of this interdisciplinary field. The relevant background in knot theory, flow kinematics, dynamo theory, and relaxation under topological constraints, is provided by the introductory chapters of Part I. These themes are developed in the subsequent papers which are grouped under the following headings: Part II: Relaxation and Minimum Energy States; Part III: Helicity, Linkage, and Flow Topology; Part IV: The Euler Equations: Extremal Properties and Finite-Time Singularities; Part V: Vortex Interactions and the Structure of Turbulence; Part VI: Chaos, Instability, and Dynamo Theory.

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Proceedings of a program on topological fluid dynamics held at the U. of California in Santa Barbara from August to December 1991, and of a workshop in November 1991. Topics include the topology of knots, stretching and alignment in general flow fields, fast dynamo theory, anomalous transport and fractal kinetics, chaos associated with fluid inertial, the energy of knots, helicity of a knotted vortex filament, blow up in axisymmetric Euler flows, and intermittency growth in 3D turbulence. Annotation c. Book News, Inc., Portland, OR (booknews.com)

This volume contains papers arising out of the program of the Institute for Theoretical Physics (ITP) of the University of California at Santa Bar­ bara, August-December 1991, on the subject'Topological Fluid Dynamics'. The first group of papers cover the lectures on Knot Theory, Relaxation un­ der Topological Constraints, Kinematics of Stretching, and Fast Dynamo Theory presented at the initial Pedagogical Workshop of the program. The remaining papers were presented at the subsequent NATO Advanced Re­ search Workshop or were written during the course of the program. We wish to acknowledge the support of the NATO Science Committee in making this workshop possible. The scope of'Topological Fluid Dynamics'was defined by an earlier Symposium of the International Union of Theoretical and Applied Mechan­ ics (IUTAM) held in Cambridge, England in August, 1989, the Proceedings of which were published (Eds. H.K. Moffatt and A. Tsinober) by Cambridge University Press in 1990. The proposal to hold an ITP program on this sub­ ject emerged from that Symposium, and we are grateful to John Greene and Charlie Kennel at whose encouragement the original proposal was formu­ lated. Topological fluid dynamics covers a range of problems, particularly those involving vortex tubes and/or magnetic flux tubes in nearly ideal fluids, for which topological structures can be identified and to some extent quantified. Proceedings of the Program of the Institute for Theoretical Physics, University of California at Santa Barbara, U.S.A. and of the NATO Advanced Research Workshop, University of California at Santa Barbara, U.S.A., November 1-5, 1991