Katori, Makoto; Kobayashi, Hirotsugu - In: Physica A: Statistical Mechanics and its Applications 229 (1996) 3, pp. 461-477
A new mean-field approximation is proposed for the sandpile model of Bak, Tang and Wiesenfeld and the distribution of heights in the self-organized critical state is calculated. We treat several series of successive topples to approximate various avalanches. In contrast to the previous...