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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 3 Issue 4 (1998) pp 417-420
rapid note: Self organization of interacting polya urns
M. Marsili (1) (a), A. Valleriani (2)
(1) International School for Advanced Studies (SISSA) and INFM unit, V. Beirut 2-4, 34014, Trieste, Italy
(2) Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany
Received: 18 February 1998 / Revised: 20 March 1998 / Accepted: 29 March 1998
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.
PACS. 64.60.Ht Dynamic critical phenomena - 64.60.Lx Self-organized criticality; avalanche effect
(a) email: marsili@sissa.it
Article in PDF-Format (315 KB)
Online publication: July 22, 1998
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