Anomalous diffusion and quasistationarity in the HMF model
Abstract
We explore the quasistationary regime of the Hamiltonian Mean Field Model (HMF) showing that at least three different classes of events exist, with a different diffusive behavior and with a relative frequency which depends on the size of the system. Along the same line of a recent work \cite{epl}, these results indicate that one must be very careful in exchanging time averages with ensemble averages during the non-ergodic metastable regime and at the same time they emphasize the role of finite size effects in the evaluation of the diffusive properties of the system.
Keywords
Cite
@article{arxiv.0711.1726,
title = {Anomalous diffusion and quasistationarity in the HMF model},
author = {A. Pluchino and A. Rapisarda},
journal= {arXiv preprint arXiv:0711.1726},
year = {2009}
}
Comments
8 pages, Paper presented at the intern. conf. CTNEXT07, satellite of STAPHYS23, 1-5 july 2007, Catania, Italy http://www.ct.infn.it/ctnext07 Available online at http://proceedings.aip.org/proceedings/confproceed/965.jsp