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arXiv · 0712.2539

Nonergodicity and central limit behavior for systems with long-range interactions

Alessandro Pluchino·Andrea Rapisarda
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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.

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BibTeXRIS

Alessandro Pluchino, Andrea Rapisarda. 2007-12-15. Nonergodicity and central limit behavior for systems with long-range interactions. https://doi.org/10.1117/12.772041

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