Diffusion and localization of surface gravity waves over irregular bathymetry

Stepaniants, A. (March 2001) Diffusion and localization of surface gravity waves over irregular bathymetry. Physical Review E, 6303 (3). ISSN 1063-651X

URL: http://www.ncbi.nlm.nih.gov/pubmed/11308637
DOI: 10.1103/PhysRevE.63.031202


An interaction of a linear surface gravity wave with weakly irregular one-dimensional bathymetry has been analyzed using the diagrammatic technique. The Boltzmann diffusion coefficient and the Anderson localization length for the wave energy density are expressed analytically via a correlation function of irregularities of the sea floor. The results are applied to different topographies. The effect of a finite region of irregularities, viscous damping, wave interaction, current, geometrically diffuse wave source, and anisotropy on localization is briefly discussed. The theory provides a scenario for the observation of large scale Anderson localization phenomenon in a tank or possibly in coastal waters.

Item Type: Paper
Uncontrolled Keywords: RANDOM BOTTOM WATER-WAVES
Subjects: physics
CSHL Authors:
Communities: CSHL labs > Chklovskii lab
Depositing User: Matt Covey
Date: March 2001
Date Deposited: 15 Jan 2014 21:22
Last Modified: 15 Jan 2014 21:22
Related URLs:
URI: https://repository.cshl.edu/id/eprint/29310

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