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UID:0-971@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20241119T110000
DTEND;TZID=Europe/Paris:20241119T120000
DTSTAMP:20241107T093553Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-gregoire-misguich-ipht/
SUMMARY:Séminaire du LPTMS : Grégoire Misguich (IPhT) - Salle des sémina
 ires du FAST et du LPTMS\, bâtiment Pascal n°530 - 19 Nov 24 11:00
DESCRIPTION:Generalized hydrodynamics in box-ball systems\nGrégoire Misgui
 ch (IPhT Saclay)\n\nThe box-ball system (BBS) is an integrable cellular au
 tomata introduced\nin 1990 (Takahashi and J. Satsuma). This classical dyna
 mical system\ninvolves 'balls' placed in 'boxes' along on a line\, and wit
 h simple\ndeterministic rules governing how the balls move at each time st
 ep. We\ngive an introduction to the simplest single-color BBS\, focusing o
 n the\nproperties its solitons. Next we will discuss a problem where the\n
 initial state is a statistical ensemble of configurations with different\n
 ball densities in the left and in the right halves of the system. With\nth
 e help of numerical simulations we show how the dynamics triggered by\nsuc
 h a domain-wall initial state leads to the emergence of density\nplateaux.
  Using the generalized hydrodynamics framework we explain how\nto compute 
 analytically the large-time and large-distance properties of\nthese platea
 ux structures. If time permits the end of the presentation\nwill show some
  exact results concerning the fluctuations of the number\nof balls crossin
 g a given point (including large deviations) as well as\nexact results on 
 some current-current correlations (Drude weight).\n\nReferences: A. Kuniba
 \, G. Misguich and V. Pasquier\, J. Phys A. 53\,\n404001(2020). See also: 
 SciPost Phys. 10\, 095 (2021) and J. Phys. A:\nMath. Theor. 55 244006 (202
 2)\n
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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DTSTART:20241027T020000
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