地震训练模型到随机沙堆模型的映射
Mapping the train model for earthquakes onto the stochastic sandpile model
摘要：
我们对地震“火车”模型的一个变体[PRA 46，6288（1992）]进行了计算研究，其中我们假设静摩擦是位置的随机函数，而不是速度相关的。该模型由一系列由弹簧耦合的块组成，相邻块之间的力由静摩擦平衡。我们计算的概率，P（s），发生雪崩的大小为s或更大，发现我们的结果是一致的现象，也与以前的模型，表现出在很大范围内的幂律。我们发现，训练模型可以映射到一个随机沙堆模型和研究后者的非球形颗粒的变体。我们表明，在这种情况下，该模型仅对具有大纵横比的颗粒具有临界行为，正如在真实稻秆实验中已经表明的那样。我们还展示了一种方法，以物理动机的方式引入随机性的模型。
英文摘要：
We perform a computational study of a variant of the ``train'' model for earthquakes [PRA 46, 6288 (1992)], where we assume a static friction that is a stochastic function of position rather than being velocity dependent. The model consists of an array of blocks coupled by springs, with the forces between neighbouring blocks balanced by static friction. We calculate the probability, P(s), of the occurrence of avalanches with a size s or greater, finding that our results are consistent with the phenomenology and also with previous models which exhibit a power law over a wide range. We show that the train model may be mapped onto a stochastic sandpile model and study a variant of the latter for non-spherical grains. We show that, in this case, the model has critical behaviour only for grains with large aspect ratio, as was already shown in experiments with real ricepiles. We also demonstrate a way to introduce randomness in a physically motivated manner into the model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
