Modulation Instability and Phase-Shifted Fermi-Pasta-Ulam Recurrence
Identifieur interne : 003868 ( Ncbi/Checkpoint ); précédent : 003867; suivant : 003869Modulation Instability and Phase-Shifted Fermi-Pasta-Ulam Recurrence
Auteurs : O. Kimmoun [France] ; H. C. Hsu [Taïwan] ; H. Branger [France] ; M. S. Li [Taïwan] ; Y. Y. Chen [Taïwan] ; C. Kharif [France] ; M. Onorato [Italie] ; E. J. R. Kelleher [Royaume-Uni] ; B. Kibler [France] ; N. Akhmediev [Australie] ; A. Chabchoub [Japon, Finlande]Source :
- Scientific Reports [ 2045-2322 ] ; 2016.
Abstract
Instabilities are common phenomena frequently observed in nature, sometimes leading to unexpected catastrophes and disasters in seemingly normal conditions. One prominent form of instability in a distributed system is its response to a harmonic modulation. Such instability has special names in various branches of physics and is generally known as modulation instability (MI). The MI leads to a growth-decay cycle of unstable waves and is therefore related to Fermi-Pasta-Ulam (FPU) recurrence since breather solutions of the nonlinear Schrödinger equation (NLSE) are known to accurately describe growth and decay of modulationally unstable waves in conservative systems. Here, we report theoretical, numerical and experimental evidence of the effect of dissipation on FPU cycles in a super wave tank, namely their shift in a determined order. In showing that ideal NLSE breather solutions can describe such dissipative nonlinear dynamics, our results may impact the interpretation of a wide range of new physics scenarios.
Url:
DOI: 10.1038/srep28516
PubMed: 27436005
PubMed Central: 4951648
Affiliations:
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Kimmoun</name><affiliation wicri:level="1"><nlm:aff id="a1"><institution>Aix-Marseille University, CNRS, Centrale Marseille, IRPHE</institution>, Marseille,<country>France</country></nlm:aff><country xml:lang="fr">France</country><wicri:regionArea># see nlm:aff country strict</wicri:regionArea></affiliation></author><author><name sortKey="Hsu, H C" sort="Hsu, H C" uniqKey="Hsu H" first="H. C." last="Hsu">H. C. Hsu</name><affiliation wicri:level="1"><nlm:aff id="a2"><institution>Tainan Hydraulics Laboratory, National Cheng Kung University</institution>,<country>Taiwan</country></nlm:aff><country xml:lang="fr">Taïwan</country><wicri:regionArea># see nlm:aff country strict</wicri:regionArea></affiliation></author><author><name sortKey="Branger, H" sort="Branger, H" uniqKey="Branger H" first="H." last="Branger">H. 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Chen</name><affiliation wicri:level="1"><nlm:aff id="a2"><institution>Tainan Hydraulics Laboratory, National Cheng Kung University</institution>,<country>Taiwan</country></nlm:aff><country xml:lang="fr">Taïwan</country><wicri:regionArea># see nlm:aff country strict</wicri:regionArea></affiliation></author><author><name sortKey="Kharif, C" sort="Kharif, C" uniqKey="Kharif C" first="C." last="Kharif">C. Kharif</name><affiliation wicri:level="1"><nlm:aff id="a1"><institution>Aix-Marseille University, CNRS, Centrale Marseille, IRPHE</institution>, Marseille,<country>France</country></nlm:aff><country xml:lang="fr">France</country><wicri:regionArea># see nlm:aff country strict</wicri:regionArea></affiliation></author><author><name sortKey="Onorato, M" sort="Onorato, M" uniqKey="Onorato M" first="M." last="Onorato">M. Onorato</name><affiliation wicri:level="1"><nlm:aff id="a3"><institution>Dipartimento di Fisica Generale, Universita degli Studi di Torino</institution>, Torino,<country>Italy</country></nlm:aff><country xml:lang="fr">Italie</country><wicri:regionArea># see nlm:aff country strict</wicri:regionArea></affiliation></author><author><name sortKey="Kelleher, E J R" sort="Kelleher, E J R" uniqKey="Kelleher E" first="E. J. R." last="Kelleher">E. J. R. Kelleher</name><affiliation wicri:level="1"><nlm:aff id="a4"><institution>Femtosecond Optics Group, Department of Physics, Imperial College London</institution>, London,<country>UK</country></nlm:aff><country xml:lang="fr">Royaume-Uni</country><wicri:regionArea># see nlm:aff country strict</wicri:regionArea></affiliation></author><author><name sortKey="Kibler, B" sort="Kibler, B" uniqKey="Kibler B" first="B." last="Kibler">B. Kibler</name><affiliation wicri:level="1"><nlm:aff id="a5"><institution>Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303 CNRS UBFC</institution>, Dijon,<country>France</country></nlm:aff><country xml:lang="fr">France</country><wicri:regionArea># see nlm:aff country strict</wicri:regionArea></affiliation></author><author><name sortKey="Akhmediev, N" sort="Akhmediev, N" uniqKey="Akhmediev N" first="N." last="Akhmediev">N. Akhmediev</name><affiliation wicri:level="1"><nlm:aff id="a6"><institution>Optical Sciences Group, Research School of Physics and Engineering, Institute of Advanced Studies, The Australian National University</institution>, Canberra ACT 020,<country>Australia</country></nlm:aff><country xml:lang="fr">Australie</country><wicri:regionArea># see nlm:aff country strict</wicri:regionArea></affiliation></author><author><name sortKey="Chabchoub, A" sort="Chabchoub, A" uniqKey="Chabchoub A" first="A." last="Chabchoub">A. Chabchoub</name><affiliation wicri:level="1"><nlm:aff id="a7"><institution>Department of Ocean Technology Policy and Environment, Graduate School of Frontier Sciences, The University of Tokyo</institution>, Kashiwa, Chiba 277-8563,<country>Japan</country></nlm:aff><country xml:lang="fr">Japon</country><wicri:regionArea># see nlm:aff country strict</wicri:regionArea></affiliation><affiliation wicri:level="1"><nlm:aff id="a8"><institution>Department of Mechanical Engineering, Aalto University</institution>, 02150 Espoo,<country>Finland</country></nlm:aff><country xml:lang="fr">Finlande</country><wicri:regionArea># see nlm:aff country strict</wicri:regionArea></affiliation></author></analytic><series><title level="j">Scientific Reports</title><idno type="eISSN">2045-2322</idno><imprint><date when="2016">2016</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>Instabilities are common phenomena frequently observed in nature, sometimes leading to unexpected catastrophes and disasters in seemingly normal conditions. One prominent form of instability in a distributed system is its response to a harmonic modulation. Such instability has special names in various branches of physics and is generally known as modulation instability (MI). The MI leads to a growth-decay cycle of unstable waves and is therefore related to Fermi-Pasta-Ulam (FPU) recurrence since breather solutions of the nonlinear Schrödinger equation (NLSE) are known to accurately describe growth and decay of modulationally unstable waves in conservative systems. Here, we report theoretical, numerical and experimental evidence of the effect of dissipation on FPU cycles in a super wave tank, namely their shift in a determined order. In showing that ideal NLSE breather solutions can describe such dissipative nonlinear dynamics, our results may impact the interpretation of a wide range of new physics scenarios.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Fermi, E" uniqKey="Fermi E">E. Fermi</name></author><author><name sortKey="Pasta, J" uniqKey="Pasta J">J. Pasta</name></author><author><name sortKey="Ulam, S" uniqKey="Ulam S">S. Ulam</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Onorato, M" uniqKey="Onorato M">M. Onorato</name></author><author><name sortKey="Vozella, L" uniqKey="Vozella L">L. Vozella</name></author><author><name sortKey="Proment, D" uniqKey="Proment D">D. Proment</name></author><author><name sortKey="Lvov, Y V" uniqKey="Lvov Y">Y. V. Lvov</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Zabusky, N J" uniqKey="Zabusky N">N. J. 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Haller</name></author><author><name sortKey="Wiggins, S" uniqKey="Wiggins S">S. Wiggins</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Haller, G" uniqKey="Haller G">G. Haller</name></author></analytic></biblStruct></listBibl></div1></back></TEI><affiliations><list><country><li>Australie</li><li>Finlande</li><li>France</li><li>Italie</li><li>Japon</li><li>Royaume-Uni</li><li>Taïwan</li></country></list><tree><country name="France"><noRegion><name sortKey="Kimmoun, O" sort="Kimmoun, O" uniqKey="Kimmoun O" first="O." last="Kimmoun">O. Kimmoun</name></noRegion><name sortKey="Branger, H" sort="Branger, H" uniqKey="Branger H" first="H." last="Branger">H. Branger</name><name sortKey="Kharif, C" sort="Kharif, C" uniqKey="Kharif C" first="C." last="Kharif">C. Kharif</name><name sortKey="Kibler, B" sort="Kibler, B" uniqKey="Kibler B" first="B." last="Kibler">B. Kibler</name></country><country name="Taïwan"><noRegion><name sortKey="Hsu, H C" sort="Hsu, H C" uniqKey="Hsu H" first="H. C." last="Hsu">H. C. Hsu</name></noRegion><name sortKey="Chen, Y Y" sort="Chen, Y Y" uniqKey="Chen Y" first="Y. Y." last="Chen">Y. Y. Chen</name><name sortKey="Li, M S" sort="Li, M S" uniqKey="Li M" first="M. S." last="Li">M. S. Li</name></country><country name="Italie"><noRegion><name sortKey="Onorato, M" sort="Onorato, M" uniqKey="Onorato M" first="M." last="Onorato">M. Onorato</name></noRegion></country><country name="Royaume-Uni"><noRegion><name sortKey="Kelleher, E J R" sort="Kelleher, E J R" uniqKey="Kelleher E" first="E. J. R." last="Kelleher">E. J. R. Kelleher</name></noRegion></country><country name="Australie"><noRegion><name sortKey="Akhmediev, N" sort="Akhmediev, N" uniqKey="Akhmediev N" first="N." last="Akhmediev">N. Akhmediev</name></noRegion></country><country name="Japon"><noRegion><name sortKey="Chabchoub, A" sort="Chabchoub, A" uniqKey="Chabchoub A" first="A." last="Chabchoub">A. Chabchoub</name></noRegion></country><country name="Finlande"><noRegion><name sortKey="Chabchoub, A" sort="Chabchoub, A" uniqKey="Chabchoub A" first="A." last="Chabchoub">A. Chabchoub</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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