Warwick Complexity Science Events
Complexity Centre and MathSys CDT events carry priority over room D1.07.
To book D1.07 please email Sheetal dot Sharma at warwick dot ac dot uk
Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.
Complexity Forum: Paul Chleboun (University of Warwick)
Title: Non-equilibrium Dynamics of Kinetically Constrained Models
Abstract: Kinetically constrained models (KCMs) are spin systems on integer lattices, where each vertex can be labeled either 0 or 1, which evolve according to a very simple rule: i) with rate one and independently for each vertex, a new value 1/0 is proposed with probability 1-q and q respectively; ii) the proposed value is accepted if and only if the neighbouring spins satisfy a certain constraint. Despite of their apparent simplicity, these models have attracted much attention both in the mathematics and physics communities. The out of equilibrium dynamics are extremely rich and display many of the key features of the dynamics of real glasses, such as; an ergodicity breaking transition at some critical value, huge relaxation times close to the critical point, dynamic heterogeneity (non-trivial spatio-temporal fluctuations of the local relaxation to equilibrium) and ageing just to mention a few. We will review some of the recent advances in the understanding of the rich dynamics of these models as they relax toward equilibrium.