Deterministic Abelian Sandpile Models and Patterns (Springer Theses) by Guglielmo Paoletti
English | Aug. 23, 2016 | ISBN: 3319347454 | 163 Pages | PDF | 9,38 MB
The model investigated in this work, a particular cellular automaton with stochastic evolution, was introduced as the simplest case of self-organized-criticality, that is, a dynamical system which shows algebraic long-range correlations without any tuning of parameters. The author derives exact results which are potentially also interesting outside the area of critical phenomena. Exact means also site-by-site and not only ensemble average or coarse graining.