随机林火模型的相变及邻域定义的影响
Phase Transition in a Stochastic Forest Fire Model and Effects of the Definition of Neighbourhood
摘要：
我们提出了一个随机森林火灾模型的结果，其中的邻居树木的影响被处理在一个更现实的方式比通常和定义的邻居可以调整一个额外的参数。该模型表现出令人惊讶的急剧相变，可以通过重新定义的邻域转移。这些结果也可以从疾病传播的角度来解释，从生物学家的角度来看，这是非常令人不安的，因为一个关键参数的变化只有百分之几，就可以导致从地方病到流行病的变化。
英文摘要：
We present results on a stochastic forest fire model, where the influence of the neighbour trees is treated in a more realistic way than usual and the definition of neighbourhood can be tuned by an additional parameter. This model exhibits a surprisingly sharp phase transition which can be shifted by redefinition of neighbourhood. The results can also be interpreted in terms of disease-spreading and are quite unsettling from the epidemologist's point of view, since variation of one crucial parameter only by a few percent can result in the change from endemic to epidemic behaviour.
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