油和水：两类内聚集模型
Oil and water: a two-type internal aggregation model
摘要：
我们介绍了两种类型的内部DLA模型，这是一个非一元阿贝尔网络的例子。从原点的n个“油”和n个“水”粒子开始，粒子按照以下规则在Z中扩散：每当某个站点x至少有1个油粒子和1个水粒子存在时，它通过将1个油粒子和1个水粒子发送到独立的随机邻居x+1或x-1来“发射”。继续发射，直到每个位点最多有一种类型的粒子。我们建立了该模型的几个统计量的正确阶，并在存在性假设下确定了标度极限。
英文摘要：
We introduce a two-type internal DLA model which is an example of a non-unary abelian network. Starting with n "oil" and n "water" particles at the origin, the particles diffuse in Z according to the following rule: whenever some site x has at least 1 oil and at least 1 water particle present, it "fires" by sending 1 oil particle and 1 water particle each to an independent random neighbor x+1 or x-1. Firing continues until every site has at most one type of particles. We establish the correct order for several statistics of this model and identify the scaling limit under assumption of existence.
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。
