A deterministic sandpile automaton revisited |
| |
| Authors: | S Lübeck N Rajewsky DE Wolf |
| |
| Institution: | Theoretische Physik, Gerhard-Mercator-Universit?t Duisburg, 47048 Duisburg, Germany, DE
Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903, USA, US
|
| |
| Abstract: | The Bak-Tang-Wiesenfeld (BTW) sandpile model is a cellular automaton which has been intensively studied during the last years
as a paradigm for self-organized criticality. In this paper, we reconsider a deterministic version of the BTW model introduced
by Wiesenfeld, Theiler and McNamara, where sand grains are added always to one fixed site on the square lattice. Using the
Abelian sandpile formalism we discuss the static properties of the system. We present numerical evidence that the deterministic model is only
in the BTW universality class if the initial conditions and the geometric form of the boundaries do not respect the full symmetry
of the square lattice.
Received 19 August 1999 |
| |
| Keywords: | PACS 64 60 Ht Dynamic critical phenomena - 05 65 +b Self-organized systems - 05 40 -a Fluctuation phenomena random processes noise and Brownian motion |
| 本文献已被 SpringerLink 等数据库收录！ |
|
