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  Undulations from amplified low frequency surface waves

Coutant, A., & Parentani, R. (2014). Undulations from amplified low frequency surface waves. Physics of fluids, 26(4): 044106. doi:10.1063/1.4872025.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0019-B7E8-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0019-B7E9-5
Genre: Journal Article

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 Creators:
Coutant, Antonin1, Author
Parentani, Renaud, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: Physics, Fluid Dynamics, physics.flu-dyn,General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: We study the scattering of gravity waves in longitudinal inhomogeneous stationary flows. When the flow becomes supercritical, counterflow propagating shallow waves are blocked and converted into deep waves. We show that the reflected waves are amplified in such a way that, in the zero-frequency limit, the free surface develops an undulation, i.e., a zero-frequency wave of large amplitude with nodes located at specific places. This amplification involves negative energy waves, and implies that the unperturbed flat surface is unstable against incoming perturbations of arbitrary small amplitude. The relation between this instability and black hole radiation (the Hawking effect) is discussed.

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 Dates: 2012-11-082014-04-292014
 Publication Status: Published in print
 Pages: 19 pages, 2 figures - Pulished version. Added clarifications, and relations to fluid mechanics standard treatments
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1211.2001
DOI: 10.1063/1.4872025
URI: http://arxiv.org/abs/1211.2001
 Degree: -

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Title: Physics of fluids
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. [etc.] : American Institute of Physics
Pages: - Volume / Issue: 26 (4) Sequence Number: 044106 Start / End Page: - Identifier: ISSN: 0031-9171
CoNE: /journals/resource/954928595037_1