Statistics of two-particle dispersion in two-dimensional turbulence

We investigate Lagrangian relative dispersion in direct numerical simulation of two-dimensional inverse cascade turbulence. The analysis is performed by using both standard fixed time statistics and an exit time approach. The latter allows a more precise determination of the Richardson constant which is found to be $g \simeq 4$ with a possible weak finite-size dependence. Our results show only small deviations with respect to the original Richardson's description in terms of diffusion equation. These deviations are associated with the long-range correlated nature of the particles' relative motion. The correlation, or persistence, parameter is measured by means of a Lagrangian ``turning point'' statistics.