Exact result for the 1D abelian sandpile. The toppling rule 'if z_i ≥ z_c, move z_c grains: one to each neighbor and z_c-2 to ground (z_c = # of neighbors = 2 in 1D)' defines the critical slope. In a 1D open chain of length L the only…
Exact result for the 1D abelian sandpile. The toppling rule 'if z_i ≥ z_c, move z_c grains: one to each neighbor and z_c-2 to ground (z_c = # of neighbors = 2 in 1D)' defines the critical slope. In a 1D open chain of length L the only…