Statistical Physics and Chaos in Fusion Plasmas
Statistical Physics and Chaos in Fusion Plasmas

Author: C. W. Horton, Jr.

Publisher: Wiley-Interscience

Published: 1984-04-24

Total Pages: 392

ISBN-13:

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Papers from twenty-nine of the world's leading scientists investigate the statistical properties of nonlinear dynamical systems, emphasizing their relation to the problem of plasma confinement. A powerful, new diagrammatic peturbation theory is presented for a first principles calculation of the Clump Kinetic equation, and for the first time, detailed calculations and experimental considerations describe the practical consequences of these correlations. Unique to this book is the collection of works on the problem of long-lived correlations in phase space of the Vlasov Poisson system. A new method of computing Lyapunov exponents from experimental data, and a method for calculating the splitting of periodic orbits in conservative systems are developed.

Transport, Chaos And Plasma Physics 2
Transport, Chaos And Plasma Physics 2

Author: Benkadda Sadruddin

Publisher: World Scientific

Published: 1996-08-22

Total Pages: 460

ISBN-13: 9814547743

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Since the early developments of 'nonlinear science', plasma physics played a major role in its evolution: solitons, hamiltonian chaos, distinction between absolute and convective instabilities, and dynamics of coherent structures in turbulence. Understanding transport in plasmas is important for fusion devices but also for fundamental astrophysics, for fluid mechanics, for theoretical chemistry and engineering, and plasma processing in engineering.This second workshop gathered experts in plasma physics, nonlinear phenomena and mathematics. It aimed at enabling theoreticians, numericians and experimentalists in plasma turbulence to relate electromagnetic fluctuations, modes of self-organisation and transport processes. It may lead to developing new diagnostics and new methods for signal processing.

Magnetic Stochasticity in Magnetically Confined Fusion Plasmas
Magnetic Stochasticity in Magnetically Confined Fusion Plasmas

Author: Sadrilla Abdullaev

Publisher: Springer Science & Business Media

Published: 2013-11-19

Total Pages: 422

ISBN-13: 3319018906

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This is the first book to systematically consider the modern aspects of chaotic dynamics of magnetic field lines and charged particles in magnetically confined fusion plasmas. The analytical models describing the generic features of equilibrium magnetic fields and magnetic perturbations in modern fusion devices are presented. It describes mathematical and physical aspects of onset of chaos, generic properties of the structure of stochastic magnetic fields, transport of charged particles in tokamaks induced by magnetic perturbations, new aspects of particle turbulent transport, etc. The presentation is based on the classical and new unique mathematical tools of Hamiltonian dynamics, like the action--angle formalism, classical perturbation theory, canonical transformations of variables, symplectic mappings, the Poincaré-Melnikov integrals. They are extensively used for analytical studies as well as for numerical simulations of magnetic field lines, particle dynamics, their spatial structures and statistical properties. The numerous references to articles on the latest development in the area are provided. The book is intended for graduate students and researchers who interested in the modern problems of magnetic stochasticity in magnetically confined fusion plasmas. It is also useful for physicists and mathematicians interested in new methods of Hamiltonian dynamics and their applications.

Chaos and Structures in Nonlinear Plasmas
Chaos and Structures in Nonlinear Plasmas

Author: Claude Wendell Horton

Publisher: World Scientific

Published: 1996

Total Pages: 364

ISBN-13: 9789810226367

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This book develops the subject of nonlinear plasma physics from a general physics perspective. It begins with a description of nonlinear oscillations, the parametric instability, the pendulum, and the nonlinear island overlap criterion. The Kolomogorov-Arnold-Moser (KAM) theory is analyzed. Laboratory visualizations of the KAM theory are presented for experiments in toroidal plasma confinement and rotating fluids. The subjects of transport in E x B flows and geostrophic flows are developed in parallel, stressing the generality of the Charney-Hasegawa-Mima equation. The dual nature of wave turbulence and vortex dynamics is developed for plasmas and geophysical flows. The presentation of the subject of nonlinear maps shows how maps are related to the nonlinear dynamics in plasma physics problems. Numerous space plasma and fusion physics examples are developed throughout the book. The final chapter deals with turbulence theory, renormalized mode coupling equations, and Kolomogorov-type spectra as modified for anisotropic plasmas.

Statistical Physics of Dense Plasmas
Statistical Physics of Dense Plasmas

Author: Setsuo Ichimaru

Publisher: CRC Press

Published: 2019-01-07

Total Pages: 192

ISBN-13: 0429775318

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This authoritative text offers a complete overview on the statistical mechanics and electrodynamics of physical processes in dense plasma systems. The author emphasizes laboratory-based experiments and astrophysical observations of plasma phenomena, elucidated through the fundamentals. The coverage encompasses relevant condensed matter physics, atomic physics, nuclear physics, and astrophysics, including such key topics as phase transitions, transport, optical and nuclear processes. This essential resource also addresses exciting, cutting edge topics in the field, including metallic hydrogen, stellar and planetary magnetisms, pycnonuclear reactions, and gravitational waves. Scientists, researchers, and students in plasma physics, condensed matter physics, materials science, atomic physics, nuclear physics, and astrophysics will benefit from this work. Setsuo Ichimaru is a distinguished professor at the University of Tokyo, and has been a visiting member at The Institute for Advanced Study in Princeton, New Jersey, at the University of California, San Diego (UCSD), the Institute for Theoretical Physics at Johannes Kepler University, and the Max Planck Institute for Quantum Optics. He is a recipient of the Subramanyan Chandrasekhar Prize of Plasma Physics from the Association of Asia-Pacific Physical Societies and the Humboldt Research Award from the Alexander von Humboldt Foundation.