Exact results for the one-dimensional self-organized critical forest-fire model.
Exact results for the one-dimensional self-organized critical forest-fire model.
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一维自组织临界森林火灾模型的精确结果。
DOI：
10.1103/physrevlett.71.3739
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发表时间：
1993
影响因子：
8.6
通讯作者：
F. Schwabl
中科院分区：
文献类型：
--
作者：
B. Drossel;S. Clar;F. Schwabl
给出了一维自组织临界(SOC)森林火灾模型的解析解，并用解析方法证明了无守恒律系统的SOC。在系统处于稳定状态且非常接近临界点的条件下，我们计算了给定的树结构占据一串[italn]个相邻位置的概率。描述森林集群大小分布的临界指数恰好是[tau]=2，并且在一定的模型规则变化下不变。计算机仿真证实了分析结果。
We present the analytic solution of the self-organized critical (SOC) forest-fire model in one dimension proving SOC in systems without conservation laws by analytic means. Under the condition that the system is in the steady state and very close to the critical point, we calculate the probability that a string of [ital n] neighboring sites is occupied by a given configuration of trees. The critical exponent describing the size distribution of forest clusters is exactly [tau]=2 and does not change under certain changes of the model rules. Computer simulations confirm the analytic results.