Vazquez A, Sotolongo-Costa O
Department of Theoretical Physics, Faculty of Physics, Havana University, Havana 10400, Cuba.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jan;61(1):944-7. doi: 10.1103/physreve.61.944.
The avalanche statistics in a stochastic sandpile model where toppling takes place with a probability p is investigated. The limiting case p=1 corresponds to the Bak-Tang-Wiesenfeld (BTW) model with a deterministic toppling rule. Based on the moment analysis of the distribution of avalanche sizes we conclude that for 0<p<p(c) the model belongs to the direct percolation universality class while for p(c)<p<1 it belongs to the BTW universality class, where p(c) is identified with the critical probability for directed percolation in the corresponding lattice.
研究了在一个随机沙堆模型中崩塌以概率(p)发生时的雪崩统计。极限情况(p = 1)对应于具有确定性崩塌规则的Bak - Tang - Wiesenfeld（BTW）模型。基于对雪崩大小分布的矩分析，我们得出结论：对于(0 < p < p(c))，该模型属于直接渗流普适类，而对于(p(c) < p < 1)，它属于BTW普适类，其中(p(c))与相应晶格中定向渗流的临界概率一致。
