BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//6.4.7.2//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:0-877@lptms.universite-paris-saclay.fr
DTSTART:20230331T110000Z
DTEND:20230331T120000Z
DTSTAMP:20230504T111909Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-excepti
 onnaire-du-lptms-benjamin-doyon-kings-college/
SUMMARY:Séminaire exceptionnel du LPTMS: Benjamin Doyon (King&#039\;s Coll
 ege) - Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°530
  - 31 Mar 23 11:00
DESCRIPTION:A family of integrable Hamiltonian systems of classical particl
 es with arbitrary two-body scattering shifts\nBenjamin Doyon (King's Colle
 ge)\nSome special systems of classical particles are integrable in the sen
 se of Liouville: there are as many conserved quantities\, including the Ha
 miltonian itself\, as there are particles. When this happens\, the system 
 is typically not chaotic\, and many of its properties can be evaluated exa
 ctly. It is interesting to find many-body systems that are integrable: int
 eraction potentials that can written for any number of particles N\, and s
 uch that the system is integrable for all N. When the interaction is local
  enough\, such a many-body integrable system has the property of elastic a
 nd factorised scattering: in any scattering event\, the sets of in- and ou
 t-momenta are the same. The trajectories are still shifted from linear tra
 jectories due to the interaction\, but these shifts are "factorised" into 
 two-body shifts\, as if the many-body scattering happened as a succession 
 of separate two-body scattering events. Amongst the known locally interact
 ing integrable models\, only very specific functions of momenta do play th
 e role of two-body shifts. I will overview a new family of many-body integ
 rable systems for which the scattering two-body function can be taken as a
 ny (differentiable\, positive) function. It can be seen as a certain flow 
 on interactions\, starting from free particles\, and produced by perturbin
 g by bilinear terms in conserved densities and currents. If time permits\,
  I will explain how we evaluate the thermodynamics of this system\, which 
 gives the classical version of the so-called thermodynamic Bethe ansatz\, 
 and its hydrodynamics\, which gives generalised hydrodynamics.
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
END:VEVENT
END:VCALENDAR