000 03754nam a22004695i 4500
001 978-3-319-01890-4
003 DE-He213
005 20140220082510.0
007 cr nn 008mamaa
008 131115s2014 gw | s |||| 0|eng d
020 _a9783319018904
_9978-3-319-01890-4
024 7 _a10.1007/978-3-319-01890-4
_2doi
050 4 _aQC170-197
072 7 _aPHFP
_2bicssc
072 7 _aSCI074000
_2bisacsh
072 7 _aSCI051000
_2bisacsh
082 0 4 _a539
_223
100 1 _aAbdullaev, Sadrilla.
_eauthor.
245 1 0 _aMagnetic Stochasticity in Magnetically Confined Fusion Plasmas
_h[electronic resource] :
_bChaos of Field Lines and Charged Particle Dynamics /
_cby Sadrilla Abdullaev.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXXIV, 412 p. 175 illus., 27 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series on Atomic, Optical, and Plasma Physics,
_x1615-5653 ;
_v78
505 0 _aHamiltonian 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.
520 _aThis 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.
650 0 _aPhysics.
650 1 4 _aPhysics.
650 2 4 _aAtoms and Molecules in Strong Fields, Laser Matter Interaction.
650 2 4 _aPlasma Physics.
650 2 4 _aNumerical and Computational Physics.
650 2 4 _aApplied and Technical Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319018898
830 0 _aSpringer Series on Atomic, Optical, and Plasma Physics,
_x1615-5653 ;
_v78
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-01890-4
912 _aZDB-2-PHA
999 _c92767
_d92767