TY - JOUR
AB - We study the directed Abelian sandpile model on a square lattice, with K downward neighborsper site, K > 2. The K = 3 case is solved exactly, which extends the earlier known solution forthe K = 2 case. For K > 2, the avalanche clusters can have holes and side-branches and are thusqualitatively different from the K = 2 case where avalanche clusters are compact. However, we findthat the critical exponents for K > 2 are identical with those for the K = 2 case, and the largescale structure of the avalanches for K > 2 tends to the K = 2 case.
AU - Dhar,D
AU - Pruessner,G
AU - Expert,P
AU - Christensen,K
AU - Zachariou,N
PY - 2016///
SN - 1539-3755
TI - Directed Abelian sandpile with multiple downward neighbors
T2 - Physical Review E
UR - http://hdl.handle.net/10044/1/29446
VL - 042107
ER -