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In toroidal geometry, and prior to the establishment of a fully developedturbulent state, the so-called topological instability of thepressure-gradient-driven turbulence is observed. In this intermediate state, anarrow spectral band of modes dominates the dynamics, giving rise to theformation of iso-surfaces of electric potential with a complicated topology.Since E x B advection of tracer particles takes place along these iso-surfaces,their topological complexity affects the characteristic features of radial andpoloidal transport dramatically. In particular, they both become stronglynon-diffusive and non-Gaussian. Since radial transport determines the systemconfinement properties and poloidal transport controls the equilibrationdynamics (on any magnetic surface), the development of non-diffusive models inboth directions is thus of physical interest. In previous work, a fractionalmodel to describe radial transport was constructed by the authors. In thiscontribution, recent results on periodic fractional models are exploited forthe construction of an effective model of poloidal transport. Numericalcomputations using a three-dimensional reduced magnetohydrodynamic set ofequations are compared with analytical solutions of the fractional periodicmodel. It is shown that the aforementioned analytical solutions accuratelydescribe poloidal transport, which turns out to be superdiffusive with index$\alpha=1$.

Pseudochaotic poloidal transport in the laminar regime of the resistive ballooning instabilities