Hydrodynamic diffusion and super-diffusion in integrable models
Jacopo De Nardis
Mon, Nov. 05th 2018, 11:00-12:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

I will show how hydrodynamic diffusion is generically present in many-body one-dimensional interacting quantum and classical integrable models. I will extend the recently developed generalised hydrodynamic (GHD) to include terms of Navier-Stokes type which lead to positive entropy production and diffusive relaxation mechanisms. These terms provide the subleading diffusive corrections to Euler-scale GHD for the large-scale non-equilibrium dynamics of integrable systems, and arise due to two-body scatterings among the quasiparticles of the model. Moreover I will show how with some particular choice of Hamiltonian interactions, the diffusion constant relative to the spin or charge degrees of freedom diverges, signaling the presence of super diffusive transport.

Contact : Vincent PASQUIER


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