Hidden conservation law for sandpile models

S. C. Lee, W. J. Tzeng

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)1253-1254
Number of pages2
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume45
Issue number2
DOIs
StatePublished - 1992

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