具有粘性和切屑的守恒质量模型
Conserved mass models with stickiness and chipping
摘要：
我们研究了一维连续质量周期晶格中的切粒模型，其中一个固定的质量分数从一个站点切掉，并随机分布在出发站点及其邻居之间;剩余的质量粘在站点上。在不对称的版本中，被切掉的质量分布在站点和右边的邻居之间，而在对称的版本中，重新分配发生在两个邻居之间。稳态质量分布的模型是使用摄动法并行和随机顺序更新。在大多数情况下，这种微扰理论提供了一个稳定的状态分布与合理的精度。
英文摘要：
We study a chipping model in one dimensional periodic lattice with continuous mass, where a fixed fraction of the mass is chipped off from a site and distributed randomly among the departure site and its neighbours; the remaining mass sticks to the site. In the asymmetric version, the chipped off mass is distributed among the site and the right neighbour, whereas in the symmetric version the redistribution occurs among the two neighbours. The steady state mass distribution of the model is obtained using a perturbation method for both parallel and random sequential updates. In most cases, this perturbation theory provides a steady state distribution with reasonable accuracy.
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