论文标题
排除过程的空间隔离极限，有两个分量在不平衡的反应下
Spatial-segregation limit for exclusion processes with two components under unbalanced reaction
论文作者
论文摘要
我们考虑具有两种类型的粒子的排除过程，它们相互竞争。特别是，我们关注的是一个物种根本没有扩散并且两个物种的杀死率由具有不同指数的单一物种给出。我们研究通过如此激烈的竞争而出现的界面的限制行为。因此，界面的三种限制行为（消失，移动和不可移动的界面）直接从我们的相互作用的粒子系统中得出，利用流体动力学极限过程，具有单数限制的灭绝动力学。
We consider exclusion processes with two types of particles which compete strongly with each other. In particular, we focus on the case where one species does not diffuse at all and killing rates of two species are given by monomials with distinct exponents. We study limiting behavior of interfaces which appear by such a strong competition. Consequently, three kinds of limiting behavior of interfaces (vanishing, moving and immovable interfaces) are derived directly from our interacting particle system taking advantage of hydrodynamic limit procedure with singular limit for annihilation dynamics.
