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.
%0 Journal Article
%1 marsili-polya
%A Marsili, M.
%A Valleriani, A.
%D 1998
%J Eur. Phys. J. B
%K urns polya statistical model physics soc
%P 417-420
%T Self organization of interacting polya urns
%V 3
%X 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.
@article{marsili-polya,
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.},
added-at = {2006-11-10T15:23:17.000+0100},
author = {Marsili, M. and Valleriani, A.},
biburl = {https://www.bibsonomy.org/bibtex/2d745ef299afb2901be71685a08dbcacc/andreab},
description = {QUALCOSA},
interhash = {e2f32c8e7dc8e0641e0f4fced476fc4b},
intrahash = {d745ef299afb2901be71685a08dbcacc},
journal = {Eur. Phys. J. B},
keywords = {urns polya statistical model physics soc},
pages = {417-420},
timestamp = {2006-11-10T15:23:17.000+0100},
title = {Self organization of interacting polya urns},
volume = 3,
year = 1998
}