论文标题
森林火灾模型：批判性和规模不变性的微妙之处
The Forest Fire Model: The subtleties of criticality and scale invariance
论文作者
论文摘要
在SOC引入的众多模型中，Forest Fire模型（FFM）与随机扩散的紧密关系特别有吸引力，这对于像流行病，谣言或确实是火灾的系统的研究至关重要。但是，自引入以来，该模型规模不变性的性质一直存在争议，并且在许多研究中观察到的缩放量的缺乏降低了其理论吸引力。在这项研究中，我们分析了树密度，平均簇大小和最大群集的行为，并表明该模型对于大脑和雨水研究中的激活动力学可能具有很高的实际相关性。从这个角度来看，其独特的缩放属性应被视为资产而不是限制。
Amongst the numerous models introduced with SOC, the Forest Fire Model (FFM) is particularly attractive for its close relationship to stochastic spreading, which is central to the study of systems as diverse as epidemics, rumours, or indeed, fires. However, since its introduction, the nature of the model's scale invariance has been controversial, and the lack of scaling observed in many studies diminished its theoretical attractiveness. In this study, we analyse the behaviour of the tree density, the average cluster size and the largest cluster and show that the model could be of high practical relevance for the activation dynamics seen in brain and rain studies. From this perspective, its peculiar scaling properties should be regarded as an asset rather than a limitation.
