Anomalous diffusion and quasistationarity in the HMF model

Details Anomalous diffusion and quasistationarity in the HMF model Anomalous diffusion and quasistationarity in the HMF model

2007-11-12

arxiv.org/abs/0711.1726v1

AIP conference proceedings 965, 2007, p.129

Physics

Condensed Matter

Statistical Mechanics

8 pages, Paper presented at the intern. conf. CTNEXT07, satellite of STAPHYS23, 1-5 july 2007, Catania, Italy http://www.ct.in

Scientific paper

10.1063/1.2828724

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.

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