Microscopic Dynamics of Plasmas and Chaos

Yves Elskens, Dominique Escande

308 pages, parution le 08/11/2002

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Résumé

This unique book systematically describes elementary models for resonant wave-particle interactions and nonlinear dynamics including Hamiltonian chaos and chaotic diffusion, together with the first description of a turbulent macroscopic system through the chaotic classical mechanics of the corresponding N-body problem. The subject is developed from first principles in a systematic and lucid manner, covering a broad range of theoretical topics and backed by computer simulations. Starting with the fundamentals of N-body dynamics and a statistical description of wave-particle interactions, it builds on these foundations by introducing advanced material involving Hamiltonian chaos, chaotic diffusion, self-consistent dynamics in the diffusive regime, as well as temporal evolution of a single-wave particle system.
With an original approach, it describes the subject matter in a systematic and articulate manner. Graduate students, researchers and lecturers involved with nonlinear plasma physics and nonlinear dynamical systems, and both plasma and mathematical physicists will benefit from this book.
The book also contains advanced materials for researchers who have a working knowledge of mechanics, statistical physics, chaotic Hamiltonian dynamics or plasma physics. Problems and exercises are provided to aid understanding for graduate students new to the subject. Clarification of mathematical details is usefully provided in several appendices and the numerous references to the primary literature and review articles complete this detailed work.

Contents

Basic physical setting
From Nbody dynamics to waveparticle interaction
Dynamics of the small amplitude waveparticle system
Statistical description of the small amplitude waveparticle dynamics
Hamiltonian chaos
Diffusion : case of the nonselfconsistent dynamics
Selfconsistent dynamics in the diffusive regime
Time evolution of the singlewave particle system
Gibbsian equilibrium of the singlewave particle system
Conclusion
Appendices
References

L'auteur - Yves Elskens

Yves Elskens, CNRS, Universite de Provence, France

L'auteur - Dominique Escande

D. Escande, CNRS, France

Caractéristiques techniques

	PAPIER
Éditeur(s)	Institute of Physics (IOP)
Auteur(s)	Yves Elskens, Dominique Escande
Parution	08/11/2002
Nb. de pages	308
Format	16 x 24
Couverture	Relié
Poids	690g
Intérieur	Noir et Blanc
EAN13	9780750306126
ISBN13	978-0-7503-0612-6