000696228 000__ 03798cam\a2200457Ki\4500 000696228 001__ 696228 000696228 005__ 20230306135644.0 000696228 006__ m\\\\\o\\d\\\\\\\\ 000696228 007__ cr\cnu|||unuuu 000696228 008__ 140106s2014\\\\sz\a\\\\ob\\\\001\0\eng\d 000696228 020__ $$a9783319018904 $$qelectronic book 000696228 020__ $$a3319018906 $$qelectronic book 000696228 020__ $$z9783319018898 000696228 0247_ $$a10.1007/978-3-319-01890-4$$2doi 000696228 035__ $$aSP(OCoLC)ocn867545684 000696228 035__ $$aSP(OCoLC)867545684 000696228 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDXCP$$dN$T$$dCOO$$dIDEBK 000696228 049__ $$aISEA 000696228 050_4 $$aTK9204 000696228 08204 $$a621.48/4$$223 000696228 1001_ $$aAbdullaev, S. S.$$q(Sadrilla S.),$$d1951-,$$eauthor. 000696228 24510 $$aMagnetic stochasticity in magnetically confined fusion plasmas $$h[electronic resource] :$$bchaos of field lines and charged particle dynamics /$$cSadrilla Abdullaev. 000696228 264_1 $$aCham :$$bSpringer,$$c2014. 000696228 300__ $$a1 online resource (xxiv, 408 pages) :$$billustrations (some color) 000696228 336__ $$atext$$btxt$$2rdacontent 000696228 337__ $$acomputer$$bc$$2rdamedia 000696228 338__ $$aonline resource$$bcr$$2rdacarrier 000696228 4901_ $$aSpringer Series on Atomic, Optical, and Plasma Physics,$$x1615-5653 ;$$vvolume 78 000696228 504__ $$aIncludes bibliographical references and index. 000696228 5050_ $$aHamiltonian Representation of Magnetic Field -- Magnetic Field Structure of Equilibrium Plasmas -- Magnetic Field Perturbations.-Hamiltonian Equations for the Guiding Center Motion of Particles -- Drift Orbits in Equilibrium Plasmas -- Methods to Study the Hamiltonian Systems -- Onset of Dynamical Chaos: Mathematical Aspects -- Onset of Dynamical Chaos: Physical Aspects -- Magnetic Field Structure Induced by Resonant Magnetic Perturbations in Tokamaks -- Transport of Field Lines and Particles in a Stochastic Magnetic Field -- Transport of Particles in a Turbulent Field. 000696228 506__ $$aAccess limited to authorized users. 000696228 520__ $$aThis is the first book to systematically consider the modern aspects of chaotic dynamics of magnetic field lines and charged particles in magnetically confined fusion plasmas. The analytical models describing the generic features of equilibrium magnetic fields and magnetic perturbations in modern fusion devices are presented. It describes mathematical and physical aspects of onset of chaos, generic properties of the structure of stochastic magnetic fields, transport of charged particles in tokamaks induced by magnetic perturbations, new aspects of particle turbulent transport, etc. The presentation is based on the classical and new unique mathematical tools of Hamiltonian dynamics, like the action--angle formalism, classical perturbation theory, canonical transformations of variables, symplectic mappings, the Poincare-Melnikov integrals. They are extensively used for analytical studies as well as for numerical simulations of magnetic field lines, particle dynamics, their spatial structures and statistical properties. The numerous references to articles on the latest development in the area are provided.The book is intended for graduate students and researchers who interested in the modern problems of magnetic stochasticity in magnetically confined fusion plasmas. It is also useful for physicists and mathematicians interested in new methods of Hamiltonian dynamics and their applications. 000696228 588__ $$aDescription based on online resource; title from PDF title page (SpringerLink, viewed November 18, 2013). 000696228 650_0 $$aTokamaks. 000696228 650_0 $$aMagnetic fields. 000696228 650_0 $$aPlasma (Ionized gases) 000696228 830_0 $$aSpringer series on atomic, optical, and plasma physics ;$$vv.78.$$x1615-5653 000696228 85280 $$bebk$$hSpringerLink 000696228 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-01890-4$$zOnline Access 000696228 909CO $$ooai:library.usi.edu:696228$$pGLOBAL_SET 000696228 980__ $$aEBOOK 000696228 980__ $$aBIB 000696228 982__ $$aEbook 000696228 983__ $$aOnline 000696228 994__ $$a92$$bISE