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Lagrangian-Green's function method for anisotropic heat transport in stochastic magnetic fields


por el

Dr. Diego del Castillo Negrete


Oak Ridge National Laboratory

Resumen:
Understanding heat transport in the presence of magnetic fields is a problem of fundamental interest to controlled nuclear fusion, space plasmas, and astrophysics. From the computational perspective this problem is very challenging because of the huge disparity that typically exists between the parallel (to the magnetic field) conductivity, χ_par and the perpendicular conductivity, χ_perp. For example, in plasmas of interest to controlled nuclear fusion χ_perp/χ_par ~10^(-10). Because of this strong anisotropy, grid-based and spectral methods fail specially in the case of stochastic fields. As an alternative, here we present a novel Lagrangian-Green’s function method that allows the accurate and efficient numerical solution of the anisotropic heat transport equation in the χ_perp/χ_par --> 0 limit in the presence of general (integrable and stochastic) 3-dimensional magnetic fields. Following the mathematical description of the method, we present several applications including transport in strongly and weakly stochastic fields and propagation of heat “waves” driven by power modulation.

Miércoles 11 de mayo de 2016
18:00 hrs.
Salón 203, Edificio Anexo, IIMAS

Informes: coloquiomym@gmail.com, o al 5622-3564.