Characterization of a transition in the transport dynamics of a diffusive sandpile by means of recurrence quantification analysis

Recurrence quantification analysis (RQA) is used to characterize a dynamical transition that takes place in the diffusive sandpile. The transition happens when a combination of the drive strength, diffusivity, and overturning size exceeds a critical value. Above the transition, the self-similar transport dynamics associated to the classical (nondiffusive) sandpile is replaced by new transport dynamics dominated by near system-size, quasiperiodic avalanche events. The deterministic content of transport dynamics, as quantified by RQA, turns out to be quite different in both phases. The time series analyzed with RQA in this work correspond to local sand fluxes at different radial locations across the diffusive sandpile.This research was sponsored by Ministerio de Economia y Competitividad of Spain under Projects No. ENE2012- 31753 and ENE2012-33219. Research supported in part by DOE Office of Science Grant No. DE-FG02-04ER5741 at University of Alaska. Sandpile simulations have been run in Uranus, a supercomputer cluster located at Universidad Carlos III de Madrid (Spain) that has been funded by the Spanish Government via the national projects UNC313-4E-2361, ENE2009-12213-C03-03, ENE2012-33219, and ENE2012- 3175