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Self Organization of Interacting Polya Urns | | Matteo Marsili
; Angelo Valleriani
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16 Feb 1998 | | Subject: | Statistical Mechanics; Adaptation and Self-Organizing Systems | cond-mat.stat-mech adap-org nlin.AO | | Abstract: | We introduce a simple model which shows non-trivial self organized critical properties. The model describes a system of interacting units, modelled by Polya urns, subject to perturbations and which occasionally break down. Three equivalent formulations - stochastic, quenched and deterministic - are shown to reproduce the same dynamics. Among the novel features of the model are a non-homogeneous stationary state, the presence of a non-stationary critical phase and non-trivial exponents even in mean field. We discuss simple interpretations in term of biological evolution and earthquake dynamics and we report on extensive numerical simulations in dimensions $d=1,2$ as well as in the random neighbors limit. | | Source: | arXiv, cond-mat/9802165 | | Services: | Forum | Review | PDF | Favorites | |
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