We point out that in certain classes of sandpile models, there exist conserved quantities, modulo the largest period of the system, under the toppling rule. In the deterministic case, explicit construction of such conserved quantities allows the exact solution of the models. With random seeding, the conservation laws also provide nontrivial informtion about the system.
|Number of pages||2|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|State||Published - 1992|