Continuous transforming the BTW to the Manna model

H. Asasi, S. Moghimi-Araghi and M.N. Najafi

Physica A: Statistical Mechanics and its Applications, 2015, vol. 419, issue C, 196-202

Abstract: In this paper we define some stochastic perturbations of the BTW model which make it into Manna model. These models have a continuous parameter p, where p=0 and 1 correspond to the BTW and Manna models respectively. We have investigated the properties of the statistical observables of the waves of avalanches for various values of p. Our data supports the expectation of a crossover in such systems; at large scales Manna model is dominant. Therefore we find strong evidence in favor of the universality classes being distinct. Also it is observed that the BTW fixed point is unstable when Manna-type perturbation is added to the model.

Keywords: Self-organized criticality; Sandpile models (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:419:y:2015:i:c:p:196-202

DOI: 10.1016/j.physa.2014.10.036

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