Universality in sandpiles
Alessandro Chessa, H. Eugene Stanley, Alessandro Vespignani, and, Stefano Zapperi
TL;DR
This paper uses extensive simulations to re-evaluate universality in sandpile models, revealing that stochastic and deterministic variants share the same universality class, contrary to previous claims due to biased analysis methods.
Contribution
It corrects prior misconceptions by identifying the true scaling behavior and establishing universality among different sandpile models.
Findings
Stochastic and deterministic sandpiles belong to the same universality class
Previous analyses suffered from systematic bias
Correct scaling behavior was identified through improved methods
Abstract
We perform extensive numerical simulations of different versions of the sandpile model. We find that previous claims about universality classes are unfounded, since the method previously employed to analyze the data suffered a systematic bias. We identify the correct scaling behavior and conclude that sandpiles with stochastic and deterministic toppling rules belong to the same universality class.
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