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Proceedings Paper

Nonergodicity and central limit behavior for systems with long-range interactions
Author(s): Alessandro Pluchino; Andrea Rapisarda
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Paper Abstract

In this paper we discuss the nonergodic behavior for a class of long-standing quasi-stationary states in a paradigmatic model of long-range interacting systems, i.e. the HMF model. We show that ensemble averages and time averages for velocities probability density functions (pdfs) do not coincide and in particular the latter exhibit a tendency to converge towards a q-Gaussian attractor instead of the usual Gaussian one predicted by the Central Limit Theorem, when ergodicity applies.

Paper Details

Date Published: 5 January 2008
PDF: 7 pages
Proc. SPIE 6802, Complex Systems II, 68020W (5 January 2008); doi: 10.1117/12.772041
Show Author Affiliations
Alessandro Pluchino, Univ. degli Studi di Catania (Italy)
Andrea Rapisarda, Univ. degli Studi di Catania (Italy)

Published in SPIE Proceedings Vol. 6802:
Complex Systems II
Derek Abbott; Tomaso Aste; Murray Batchelor; Robert Dewar; Tiziana Di Matteo; Tony Guttmann, Editor(s)

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