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Two dimensional stochastic time model of scrape-off layer (SOL) turbulenttransport is studied. Instability arisen in the system with respect to thestochastic perturbations of both either density or vorticity reveals itself inthe strong outward bursts of particle density propagating ballistically acrossthe SOL. The stability and possible stabilization of the cross- field turbulentsystem depend very much upon the reciprocal correlation time between densityand vorticity fluctuations. Pdf of the particle flux for the large magnitudesof flux events can be modelled with a simple discrete time toy model of randomwalks concluding at a boundary. The spectra of wandering times feature the pdfof particle flux in the model and qualitatively reproduce the experimentalstatistics of transport events.Comment: 21 pages,11 figure

STOCHASTIC AND DISCRETE TIME MODELS OF LONG-RANGE TURBULENT TRANSPORT IN THE SCRAPE-OFF LAYER