Self Organization of Interacting Polya Urns

Details Self Organization of Interacting Polya Urns Self Organization of Interacting Polya Urns

1998-02-16

arxiv.org/abs/cond-mat/9802165v1

Physics

Condensed Matter

Statistical Mechanics

4 pages 1 figure

Scientific paper

10.1007/s100510050330

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.

Affiliated with

Also associated with

No associations

Rating

Self Organization of Interacting Polya Urns does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self Organization of Interacting Polya Urns, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self Organization of Interacting Polya Urns will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-486243