5 January 2008 Nonergodicity and central limit behavior for systems with long-range interactions
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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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Alessandro Pluchino, Alessandro Pluchino, Andrea Rapisarda, Andrea Rapisarda, } "Nonergodicity and central limit behavior for systems with long-range interactions", Proc. SPIE 6802, Complex Systems II, 68020W (5 January 2008); doi: 10.1117/12.772041; https://doi.org/10.1117/12.772041


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