10 research outputs found
Abelian Manna model on various lattices in one and two dimensions
We perform a high-accuracy moment analysis of the avalanche size, duration
and area distribution of the Abelian Manna model on eight two-dimensional and
four one-dimensional lattices. The results provide strong support to establish
universality of exponents and moment ratios across different lattices and a
good survey for the strength of corrections to scaling which are notorious in
the Manna universality class. The results are compared against previous work
done on Manna model, Oslo model and directed percolation. We also confirm
hypothesis of various scaling relations.Comment: 16 pages, 3 figures, 7 tables, submitted to Journal of Statistical
Mechanic