Diffusion in a Random Velocity Field: Spectral Properties of a Non-Hermitian Fokker-Planck Operator

Preprint

23 April 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9704198

Abstract

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, for weak disorder and dimension d>2. We relate our results to the time-evolution of particle density, and compare them with numerical simulations.

Keywords

RANDOM VELOCITY FIELD
PLANCK OPERATOR
VELOCITY FIELD
FOKKER PLANCK
EIGENVALUE
HERMITIAN
DIFFUSION

All Related Versions

Version 1, 1997-04-23, ArXiv
Published version: Physical Review Letters, 79 (10), 1797.

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