Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9727871 | Physica A: Statistical Mechanics and its Applications | 2005 | 12 Pages |
Abstract
We present a Monte Carlo numerical investigation of the Hamiltonian mean field (HMF) model. We begin by discussing canonical Metropolis Monte Carlo calculations, in order to check the caloric curve of the HMF model and study finite size effects. In the second part of the paper, we present numerical simulations obtained by means of a modified Monte Carlo procedure with the aim to test the stability of those states at minimum temperature and zero magnetization (homogeneous Quasi stationary states), which exist in the condensed phase of the model just below the critical point. For energy densities smaller than the limiting value Uâ¼0.68, we find that these states are unstable confirming a recent result on the Vlasov stability analysis applied to the HMF model.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Alessandro Pluchino, Giuseppe Andronico, Andrea Rapisarda,