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We study spectral properties of the Fokker-Planck operator that describes particles diffusing in a quenched random velocity field. This random operator is non-Hermitian and has eigenvalues occupying a finite area in the complex plane. We calculate the eigenvalue density and averaged one-particle Green's function, compare our results with numerical simulations, and relate them to the time evolution of particle density. For strong disorder and short times, we find a novel time dependence of the mean-square displacement: 〈r^2〉t^2/d in dimension d>2.
Chalker et al. (Mon,) studied this question.
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