ANALYTICAL APPROACH TO THE FOREST-FIRE MODEL

Citation
H. Patzlaff et S. Trimper, ANALYTICAL APPROACH TO THE FOREST-FIRE MODEL, Physics letters. A, 189(3), 1994, pp. 187-192
Citations number
18
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
189
Issue
3
Year of publication
1994
Pages
187 - 192
Database
ISI
SICI code
0375-9601(1994)189:3<187:AATTFM>2.0.ZU;2-T
Abstract
Using a Fock-space formalism the rate equations are derived. They reve al a stationary solution with a critical concentration. To go beyond t he mean field limit higher-order correlation functions have been analy zed. This results in an algebraic decay with an exponent given by the average number of perimeter sites.