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Experimental evidence of hydrodynamic instantons : the universal route to rogue waves

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Dematteis, Giovanni, Grafke, Tobias, Onorato, Miguel and Vanden-Eijnden, Eric (2019) Experimental evidence of hydrodynamic instantons : the universal route to rogue waves. Physical Review X, 9 (4). 041057. doi:10.1103/PhysRevX.9.041057 ISSN 2160-3308.

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Official URL: https://doi.org/10.1103/PhysRevX.9.041057

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Abstract

A statistical theory of rogue waves is proposed and tested against experimental data collected in a long water tank where random waves with different degrees of nonlinearity are mechanically generated and free to propagate along the flume. Strong evidence is given that the rogue waves observed in the tank are hydrodynamic instantons, that is, saddle point configurations of the action associated with the stochastic model of the wave system. As shown here, these hydrodynamic instantons are complex spatiotemporal wave field configurations which can be defined using the mathematical framework of large deviation theory and calculated via tailored numerical methods. These results indicate that the instantons describe equally well rogue waves created by simple linear superposition (in weakly nonlinear conditions) or by nonlinear focusing (in strongly nonlinear conditions), paving the way for the development of a unified explanation to rogue wave formation.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Rogue waves , Rogue waves -- Mathematical models, Instantons , Wave equation
Journal or Publication Title: Physical Review X
Publisher: American Physical Society
ISSN: 2160-3308
Official Date: 18 December 2019
Dates:
DateEvent
18 December 2019Published
7 November 2019Accepted
Volume: 9
Number: 4
Article Number: 041057
DOI: 10.1103/PhysRevX.9.041057
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access (Creative Commons)
Copyright Holders: © 2020 American Physical Society
Date of first compliant deposit: 13 November 2019
Date of first compliant Open Access: 15 November 2019
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
Progetto di Ricerca d’Ateneo CSTO160004Università di Pisahttp://viaf.org/viaf/122752152
L.232/2016Ministero dell’Istruzione, dell’Università e della Ricercahttp://dx.doi.org/10.13039/501100003407
DMR-142007National Science Foundationhttp://dx.doi.org/10.13039/100000001
DMS-152276National Science Foundationhttp://dx.doi.org/10.13039/100000001
617006Simons Foundationhttp://dx.doi.org/10.13039/100000893
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