Standard deviation of the pdf of particle tracers vs time. The short-time behavior implies that the index is equal to 1.
First and third moments of the pdf of particle tracers computed from the numerical integration of Eq. (11).
Numerical results for obtained from Eq. (11) are fitted to the analytical expression, Eq. (12), yielding .
Comparison of the time evolution of the pdf of tracer particles with fixed initial toroidal velocity , and the analytical expression, Eq. (6).
Numerical computation of the time evolution of the pdf of tracer particles with random initial toroidal velocities.
Time evolution of given by Eq. (14) for the values of the parameters corresponding to the case plotted in Fig. 5.
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