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23 May 2005Phase diagram and clustering in an anisotropic 3D sandpile model of vortex motion
We explore the phase diagram of a recently introduced gradient driven anisotropic 3D sandpile model of vortex dynamics. Two distinct phases are observed: one is a self-organized critical state characterized by avalanches of vortex motion that obey finite-size scaling and that has a finite critical current density; the other one has vortices that cluster together and occupy only every other lattice site in the X-Y plane. The critical current density is zero in the clustered phase. Detailed results of a finite-size scaling analysis of the avalanches in the self-organized phase is discussed, including critical exponents that differ from the corresponding 2D model.
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Tegy John Vadakkan, Kevin E. Bassler, "Phase diagram and clustering in an anisotropic 3D sandpile model of vortex motion," Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); https://doi.org/10.1117/12.609506