Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity
The propagation of flexural gravity waves, routinely used to model wave interaction with sea ice, is studied, including the effect of compression and current. A number of significant and surprising properties are shown to exist. The occurrence of blocking above a critical value of compression is ill...
Published in: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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Online Access: | http://dx.doi.org/10.1098/rspa.2017.0223 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2017.0223 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2017.0223 |
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crroyalsociety:10.1098/rspa.2017.0223 2024-10-13T14:10:43+00:00 Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity Das, S. Sahoo, T. Meylan, M. H. Simons Foundation Isaac Newton Institute for Mathematical Sciences Indian Institute of Technology Kharagpur through a post-doctoral fellowship Office of Naval Research Global Initiative of Academic Networks 2018 http://dx.doi.org/10.1098/rspa.2017.0223 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2017.0223 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2017.0223 en eng The Royal Society https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 474, issue 2209, page 20170223 ISSN 1364-5021 1471-2946 journal-article 2018 crroyalsociety https://doi.org/10.1098/rspa.2017.0223 2024-09-17T04:34:45Z The propagation of flexural gravity waves, routinely used to model wave interaction with sea ice, is studied, including the effect of compression and current. A number of significant and surprising properties are shown to exist. The occurrence of blocking above a critical value of compression is illustrated. This is analogous to propagation of surface gravity waves in the presence of opposing current and light wave propagation in the curved space–time near a black hole, therefore providing a novel system for studying analogue gravity. Between the blocking and buckling limit of the compressive force, the dispersion relation possesses three positive real roots, contrary to an earlier observation of having a single positive real root. Negative energy waves, in which the phase and group velocity point in opposite directions, are also shown to exist. In the presence of an opposing current and certain critical ranges of compressive force, the second blocking point shifts from the positive to the negative branch of the dispersion relation. Such a shift is known as the Hawking effect from the analogous behaviour in the theory of relativity which leads to Hawking radiation. The theory we develop is illustrated with simulations of linear waves in the time domain. Article in Journal/Newspaper Sea ice The Royal Society Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474 2209 20170223 |
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The Royal Society |
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crroyalsociety |
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English |
description |
The propagation of flexural gravity waves, routinely used to model wave interaction with sea ice, is studied, including the effect of compression and current. A number of significant and surprising properties are shown to exist. The occurrence of blocking above a critical value of compression is illustrated. This is analogous to propagation of surface gravity waves in the presence of opposing current and light wave propagation in the curved space–time near a black hole, therefore providing a novel system for studying analogue gravity. Between the blocking and buckling limit of the compressive force, the dispersion relation possesses three positive real roots, contrary to an earlier observation of having a single positive real root. Negative energy waves, in which the phase and group velocity point in opposite directions, are also shown to exist. In the presence of an opposing current and certain critical ranges of compressive force, the second blocking point shifts from the positive to the negative branch of the dispersion relation. Such a shift is known as the Hawking effect from the analogous behaviour in the theory of relativity which leads to Hawking radiation. The theory we develop is illustrated with simulations of linear waves in the time domain. |
author2 |
Simons Foundation Isaac Newton Institute for Mathematical Sciences Indian Institute of Technology Kharagpur through a post-doctoral fellowship Office of Naval Research Global Initiative of Academic Networks |
format |
Article in Journal/Newspaper |
author |
Das, S. Sahoo, T. Meylan, M. H. |
spellingShingle |
Das, S. Sahoo, T. Meylan, M. H. Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity |
author_facet |
Das, S. Sahoo, T. Meylan, M. H. |
author_sort |
Das, S. |
title |
Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity |
title_short |
Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity |
title_full |
Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity |
title_fullStr |
Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity |
title_full_unstemmed |
Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity |
title_sort |
dynamics of flexural gravity waves: from sea ice to hawking radiation and analogue gravity |
publisher |
The Royal Society |
publishDate |
2018 |
url |
http://dx.doi.org/10.1098/rspa.2017.0223 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2017.0223 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2017.0223 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 474, issue 2209, page 20170223 ISSN 1364-5021 1471-2946 |
op_rights |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
op_doi |
https://doi.org/10.1098/rspa.2017.0223 |
container_title |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
474 |
container_issue |
2209 |
container_start_page |
20170223 |
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1812818172434186240 |