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

Alessandro Pluchino; Andrea Rapisarda

doi:10.1117/12.772041

5 January 2008 Nonergodicity and central limit behavior for systems with long-range interactions

Alessandro Pluchino, Andrea Rapisarda

Proceedings Volume 6802, Complex Systems II; 68020W (2008) https://doi.org/10.1117/12.772041
Event: SPIE Microelectronics, MEMS, and Nanotechnology, 2007, Canberra, ACT, Australia

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.

Citation Download Citation

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

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