1.

Record Nr.

UNINA9910300369003321

Autore

Abdullaev Sadrilla

Titolo

Magnetic Stochasticity in Magnetically Confined Fusion Plasmas : Chaos of Field Lines and Charged Particle Dynamics / / by Sadrilla Abdullaev

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-01890-6

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (422 p.)

Collana

Springer Series on Atomic, Optical, and Plasma Physics, , 1615-5653 ; ; 78

Disciplina

530.44

Soggetti

Atoms

Physics

Plasma (Ionized gases)

Atoms and Molecules in Strong Fields, Laser Matter Interaction

Plasma Physics

Numerical and Computational Physics, Simulation

Applied and Technical Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Hamiltonian Representation of Magnetic Field -- Magnetic Field Structure of Equilibrium Plasmas -- Magnetic Field Perturbations.-Hamiltonian Equations for the Guiding Center Motion of Particles -- Drift Orbits in Equilibrium Plasmas -- Methods to Study the Hamiltonian Systems -- Onset of Dynamical Chaos: Mathematical Aspects -- Onset of Dynamical Chaos: Physical Aspects -- Magnetic Field Structure Induced by Resonant Magnetic Perturbations in Tokamaks -- Transport of Field Lines and Particles in a Stochastic Magnetic Field -- Transport of Particles in a Turbulent Field.

Sommario/riassunto

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.