We investigate the performance of standard stochastic models of single-part
icle dispersion in two-dimensional turbulence. Owing to the presence of coh
erent vortices, particle dispersion in two-dimensional turbulence is charac
terized by a non-Gaussian velocity distribution and a non-exponential veloc
ity autocorrelation, and it cannot be properly captured by either linear or
nonlinear stochastic models with a single component process. Based on phys
ical and dynamical considerations, we introduce a family of two-process sto
chastic models that provide a better parameterization of turbulent dispersi
on in rotating barotropic flows.