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Titlebook: Magnetic Stochasticity in Magnetically Confined Fusion Plasmas; Chaos of Field Lines Sadrilla Abdullaev Book 2014 Springer International Pu

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978-3-319-34971-8Springer International Publishing Switzerland 2014
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Magnetic Stochasticity in Magnetically Confined Fusion Plasmas978-3-319-01890-4Series ISSN 1615-5653 Series E-ISSN 2197-6791
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https://doi.org/10.1007/978-3-319-01890-4Analytical Models of Equilibrium Magnetic Fields; Asymptotic Analysis of Magnetic Perturbations; Chaos
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Springer Series on Atomic, Optical, and Plasma Physicshttp://image.papertrans.cn/m/image/621357.jpg
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Magnetic Field Perturbations,ibrium field is small. The magnetic perturbations may have a diverse nature: error fields produced by imperfect technical installation of poloidal and toroidal field coils, helical magnetic fields generated by MHD instabilities, magnetic fields created by external coils etc.
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Onset of Dynamical Chaos: Mathematical Aspects,urbations, i.e., to the fundamental problem of dynamics (see, Sect. .). Chaos of magnetic field lines in magnetic fusion devices is an excellent example of dynamical chaos in Hamiltonian systems with one-and-half-degrees of freedom. In this chapter we discuss the some mathematical aspects of the onset of chaos in Hamiltonian systems.
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Transport of Field Lines and Particles in a Stochastic Magnetic Field,use a test particle model in which no reaction of a plasma medium to particlemotion is taken into account. In this simplified approach we derive the analytical formulas of the diffusion coefficients describing the radial chaotic transport of particles and investigate their validity using the numerical simulations.
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