Phys. Rev. Lett. 79, 1797–1800 (1997)Diffusion in a Random Velocity Field: Spectral Properties of a Non-Hermitian Fokker-Planck OperatorReceived 23 April 1997; published in the issue dated 8 September 1997 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: 〈r2〉∼t2/d in dimension d>2. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.1797
DOI:
10.1103/PhysRevLett.79.1797
PACS:
05.40.+j, 05.45.+b, 05.60.+w, 46.10.+z
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