Speaker
Cedric Bernardin
(École Normale Supérieure de Lyon)
Description
We introduce a class of one dimensional Hamiltonian systems
with two conservation laws. Numerical simulations show that
these dynamics are genuinely super-diffusive. We then modify
the dynamics by adding a conservative stochastic noise so
that it becomes ergodic. System of conservation laws are
derived as hydrodynamic limits of the modified dynamics.
Numerical evidence shows these models are still
super-diffusive. This is proven rigorously for harmonic
potentials and exponential interactions.
Primary author
Cedric Bernardin
(École Normale Supérieure de Lyon)
