Finite-size effects in the self-organized critical forest-fire model

Finite-size effects in the self-organized critical forest-fire model
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自组织临界森林火灾模型中的有限尺寸效应

DOI:
10.1007/s100510051113
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发表时间:
1999
期刊:
The European Physical Journal B - Condensed Matter and Complex Systems
影响因子:
--
通讯作者:
F. Schwabl
F. Schwabl
中科院分区:
--
文献类型:
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作者:
K. Schenk;B. Drossel;S. Clar;F. Schwabl

文献摘要

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翻译后摘要:我们研究有限大小的影响,在自组织的临界森林火灾模型,通过数值评估树的密度和火灾的大小分布。结果表明,该模型没有显示出传统临界系统中出现的有限尺寸标度。相反,该系统是由不同树木密度的相对均匀的斑块组成的,导致两种性质不同的火灾类型:那些跨越整个斑块的火灾和那些没有。随着系统尺寸变小,系统包含的斑块变少,最后变得均匀,随时间具有大的密度波动。
Abstract:We study finite-size effects in the self-organized critical forest-fire model by numerically evaluating the tree density and the fire size distribution. The results show that this model does not display the finite-size scaling seen in conventional critical systems. Rather, the system is composed of relatively homogeneous patches of different tree densities, leading to two qualitatively different types of fires: those that span an entire patch and those that do not. As the system size becomes smaller, the system contains less patches, and finally becomes homogeneous, with large density fluctuations in time.