The modification of the nonlinear guiding center theory

Abstract

We modify the NonLinear Guiding Center theory for perpendicular diffusion by replacing the spectral amplitude of the two-component model of magnetic turbulence with that of the two-dimensional model (following Shalchi), and replacing the constant a 2, which indicates the degree particles following the magnetic field line, with the variable a′2 as a function of the magnetic turbulence. We combine the modified model with the NonLinear PArallel diffusion theory to solve perpendicular and parallel diffusion coefficients simultaneously. It is shown that the new model agrees better with simulations. Furthermore, we fit the numerical results of the new model with polynomials, so that the parallel and perpendicular diffusion coefficients can be calculated directly without iteration of integrations, and many numerical calculations can be reduced. © 2014. The American Astronomical Society. All rights reserved.