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Ergodic and non-ergodic many-body dynamics in strongly nonlinear lattices

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HY2W04 - Statistical mechanics, integrability and dispersive hydrodynamics

The study of nonlinear oscillator chains in classical many-body dynamics has a storied history going back to the seminal work of Fermi et al. I will introduce a family of new models which consist of chains of N harmonically coupled particles. The nonlinearity is introduced by confining each individual particle inside a prescribed domain. The local dynamics is made of a billiard problem. Those chains exhibit a mixed phase space for any finite value of the number of particles (or sites) for the simplest choice of the billiard (a one-dimensional box). In the continuum limit, this case constitutes a singular limit of the integrable sinh Gordon field theory. In this talk I will present the model and discuss its main thermodynamic properties.

This talk is part of the Isaac Newton Institute Seminar Series series.

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