Sommaire:

The hard-disk model has exerted outstanding influence on computational
physics and statistical mechanics. Decades ago, hard disks were the first
system to be studied by Markov-chain Monte Carlo methods and by molecular
dynamics. It was in hard disks, through numerical simulations, that a
two-dimensional melting transition was first seen to occur even though such
systems cannot develop long-range crystalline order. Analysis of the system
was made difficult by the absence of powerful simulation methods.
In recent years, we have developed a number of powerful Monte Carlo
algorithms for hard disks and related systems. I will in particular show how
the powerful event-chain Monte Carlo algorithm which has allowed us to prove
that hard disks melt with a first-order transition from the liquid to the
hexatic and a continuous transition from the hexatic to the solid.

Pour plus d'informations, merci de contacter Berthier L.