Can I read A Bottom-Up Model of Self-Organized Criticality on Networks on EtoBox?

A Bottom-Up Model of Self-Organized Criticality on Networks by Noël, Pierre-André; Brummitt, Charles D.; D'Souza, Raissa M. is a scholarly article available to read on EtoBox.

What is A Bottom-Up Model of Self-Organized Criticality on Networks about?

The Bak-Tang-Wiesenfeld (BTW) sandpile process is an archetypal, stylized model of complex systems with a critical point as an attractor of their dynamics. This phenomenon, called self-organized criticality (SOC), appears to occur ubiquitously in both nature and technology. Initially introduced on the 2D lattice, the BTW process has been studied on network structures with great analytical successes in the estimation of macroscopic quantities, such as the exponents of asymptotically power-law distributions. In this article, we take a microscopic perspective and study the inner workings of the process through both numerical and rigorous analysis. Our simulations reveal fundamental flaws in the assumptions of past phenomenological models, the same models that allowed accurate macroscopic predictions; we mathematically justify why universality may explain these past successes. Next, starting from scratch, we obtain microscopic understanding that enables mechanistic models; such models can, for example, distinguish a cascade's area from its size. In the special case of a 3-regular network, we use self-consistency arguments to obtain a zero-parameters, mechanistic (bottom-up) approximati

Author

Noël, Pierre-André; Brummitt, Charles D.; D'Souza, Raissa M.

Published

2013

Language

EN