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Podlazov A. V. Two-dimensional self-organized critical sandpile models with anisotropic dynamics of the activity propagation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 6, pp. 25-46. DOI: 10.18500/0869-6632-2012-20-6-25-46
Two-dimensional self-organized critical sandpile models with anisotropic dynamics of the activity propagation
We numerically and analytically investigate two self-organized critical sandpile models with anisotropic dynamics of the activity propagation – Dhar–Ramaswamy and discrete Feder–Feder models. The full set of critical indices for these models is theoretically determined. We also give systematical statement of the finite-size scaling ansatz and of its use for the solving of self-organized critical systems. Studying the discrete Feder–Feder model we find and explain a number of nontrivial phenomena, such as spontaneous anisotropy, anomalous diffusion and the appearance of midline ditch of filling.
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