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Universality in isotropic, abelian and non-abelian, sandpile models isexamined using extensive numerical simulations. To characterize the criticalbehavior we employ an extended set of critical exponents, geometric features ofthe avalanches, as well as scaling functions describing the time evolution ofaverage quantities such as the area and size during the avalanche. Comparingbetween the abelian Bak-Tang-Wiesenfeld model [P. Bak, C. Tang and K.Wiensenfeld, Phys. Rev. Lett. 59, 381 (1987)], and the non-abelian modelsintroduced by Manna [S. S. Manna, J. Phys. A. 24, L363 (1991)] and Zhang [Y. C.Zhang, Phys. Rev. Lett. 63, 470 (1989)] we find strong indications that eachone of these models belongs to a distinct universality class.Comment: 18 pages of text, RevTeX, additional 8 figures in 12 PS file

Universality classes in isotropic, Abelian, and non-Abelian sandpile models