Diffusive equation with slow dynamics

Federico Corberi



Abstract

I discuss a continuum model for the time evolution of diffusive particles modeled by a diffusion equation with a density dependent mobility M that vanishes as an arrest density is approached. The model is studied numerically and analytically in a mean field approach. For low temperatures two glassy regions are observed corresponding to intermediate and high particle concentrations. Here the systems evolves out of an initially pinned state toward complete equilibration showing ageing and a slow decay of the autocorrelation function as a stretched exponential or an enhanced power law.


Elenco dei partecipanti al convegno di Bari.