Self organization of interacting polya urns |
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Authors: | M Marsili A Valleriani |
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Institution: | International School for Advanced Studies (SISSA) and INFM unit, V. Beirut 2-4, 34014, Trieste, Italy Max-Planck-Institut für Physik Komplexer Systeme, N?thnitzer Str. 38, 01187, Dresden, Germany
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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.
Received: 18 February 1998 / Revised: 20 March 1998 / Accepted: 29 March 1998 |
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Keywords: | PACS 64 60 Ht Dynamic critical phenomena - 64 60 Lx Self-organized criticality avalanche effect |
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