Cristina Toninelli (CNRS & UPMC / LPMA)

Kinetically constrained spin models: some results and open issues

vendredi 16 décembre 2016, 11h00 - 12h00

Salle du conseil, espace Turing

Kinetically constrained spin models (KCSM) are a class of interacting particle systems which have been introduced in physics literature to model liquid-glass and more general jamming transitions. The evolution of KCSM is given by a continuous time Markov process whose elementary moves are birth and death of particles. The key feature is that a move occurs only if the configuration satisfies a local constraint. We will show that the constraints induce the existence of blocked configurations and the occurrence of anomalously long relaxation times. We will discuss the intimate connection with bootstrap-like cellular automata and present some techniques to establish the scaling of relaxation times. We will conclude by presenting some open problems.