Statics of a "self-organized" percolation model.
Statics of a "self-organized" percolation model.
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“自组织”渗透模型的静力学。
DOI：
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发表时间：
1993
影响因子：
8.6
通讯作者：
C. Henley
中科院分区：
文献类型：
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作者：
C. Henley;C. Henley
考虑了一个随机林火模型。每个点都以恒定的平均速率被填充;同样，火花也以很小的速率落下，并瞬间烧毁它们击中的整个簇。我发现[ital非平凡]临界指数在自组织临界极限[ital k][r箭头]0，相反，早期的结果Drossel和Schwabl。首次测量了空间相关函数和占位相关指数。通过类比不相关渗流导出的标度关系被广泛用作数值检验。在这个系统中违反了超尺度。
A stochastic forest-fire' model is considered. Sites are filled individually at a constant mean rate; also, sparks' are dropped at a small rate [ital k], and instantaneously burn up the entire cluster they hit. I find [ital nontrivial] critical exponents in the self-organized critical limit [ital k][r arrow]0, contrary to earlier results of Drossel and Schwabl. Spatial correlation functions and a site occupancy correlation exponent are measured for the first time. Scaling relations, derived by analogy to uncorrelated percolation, are used extensively as numerical checks. Hyperscaling is violated in this system.