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SUMMARY:Ergodic and non-ergodic many-body dynamics in strongly nonlinear l
 attices - Remy Dubertrand (Northumbria University)
DTSTART:20221018T133000Z
DTEND:20221018T140000Z
UID:TALK182540@talks.cam.ac.uk
DESCRIPTION:The study of nonlinear oscillator chains in classical many-bod
 y dynamics has a storied history going back to the seminal work of Fermi e
 t al. I will introduce a family of new models which consist of chains of N
  harmonically coupled particles. The nonlinearity is introduced by confini
 ng each individual particle inside a prescribed domain. The local dynamics
  is made of a billiard problem.\nThose chains exhibit a mixed phase space 
 for any finite value of the number of particles (or sites) for the simples
 t choice of the billiard (a one-dimensional box). In the continuum limit\,
  this case constitutes a singular limit of the integrable sinh Gordon fiel
 d theory.\nIn this talk I will present the model and discuss its main ther
 modynamic properties.
LOCATION:Seminar Room 1\, Newton Institute
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