Cross field diffusion and fluctuation spectra in a levitated octupole in the presence of a toroidal field

Existence and uniqueness of the solution for stochastic super-fast diffusion equations with multiplicative noise

“…Consider a nonlinear diffusion process of the following form dX (t) = ∆ ln (X (t) + 1) dt (1) where X (t, ξ) is the density for the time -space coordinates (t, ξ) . This equation describes the process that has been observed during experiments using Wisconsin toroidal octupole plasma containment device (see [16]). Kamimura and Dawson predicted in [17] this process for cross-field conservative diffusion of plasma including mirror effects.…”