Krauth, Werner

Title: The event-chain algorithm and the melting transition for two-dimensional hard spheres
Author: Werner Krauth
Affiliation: Laboratoire de Physique Statistique, Ecole Normale Superieure, Paris, France.
Abstract:
I discuss cluster Monte Carlo algorithms for hard-sphere systems, especially the event-chain algorithm, which moves long chains of particles without any rejection. This powerful method was used for large-scale simulations of two-dimensional hard disks. I will discuss convergence criteria for this system, and show fully converged samples of hard disks which leave no doubt that this system undergoes a Kosterlitz-Thouless transition with a hexatic phase sandwiched in between the liquid and the solid.