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