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UID:0-1066@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20251216T110000
DTEND;TZID=Europe/Paris:20251216T120000
DTSTAMP:20251211T151823Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-thibault-congy-northumbria-university-newcastle-uk/
SUMMARY:Séminaire du LPTMS : Thibault Congy (Northumbria University\, Newc
 astle\, UK) - Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal
  n°530 - 16 Déc 25 11:00
DESCRIPTION:Soliton gas description of modulational instability \nThibault 
 Congy (Northumbria University\, Newcastle\, UK)\n\n \nSoliton gases are i
 nfinite random ensembles of interacting solitons whose large-scale dynamic
 s are governed by the elementary two-soliton collisions. By applying the s
 pectral theory of soliton gases to the focusing nonlinear Schrödinger equ
 ation (fNLSE)\, we can describe the statistically stationary and spatially
  homogeneous integrable turbulence that emerges at large times from the sp
 ontaneous (noise-induced) modulational instability of the plane-wave and t
 he elliptic “dn” solutions.\n\nI will show that a special\, critically
  dense soliton gas—the bound-state soliton condensate—provides an accu
 rate model for the asymptotic state of both plane-wave and elliptic integr
 able turbulence. Moreover\, certain statistical moments of the resulting t
 urbulence can be computed analytically\, allowing us to assess deviations 
 from Gaussianity. These analytical predictions demonstrate excellent agree
 ment with direct numerical simulations of the fNLSE.\n\nThe talk is based 
 on the recent works:\n- “Statistics of Extreme Events in Integrable Turb
 ulence”\, T. Congy\, G. A. El\, G. Roberti\, A. Tovbis\, S. Randoux\, an
 d P. Suret\, Phys. Rev. Lett. 132\, 207201 (2024).\n- “Spontaneous modul
 ational instability of elliptic periodic waves: The soliton condensate mod
 el”\, D. S. Agafontsev\, T. Congy\, G. A. El\, S. Randoux\, G. Roberti\,
  and P. Suret\, Physica D 134956 (2025).\n&nbsp\;
CATEGORIES:seminars
LOCATION:Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°53
 0\, rue André Riviere\, Orsay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Riviere\, Orsay\
 , 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Salle des séminaires du FAST 
 et du LPTMS\, bâtiment Pascal n°530:geo:0,0
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