结几何中的排除
Exclusion in Junction Geometries
摘要：
我们研究了在一个路口的不对称排斥过程的动力学。当两条输入道路最初被完全占用并且单个输出道路最初是空的时，随后的稀疏波具有丰富的空间结构。当初始密度变化时，密度分布也发生显著变化。当一条路变成两条路时，相关的现象就出现了。最后，我们确定了开放系统的相图，其中粒子被馈送到两条道路的速率$α$为每条道路，两条道路合并成一个，和粒子被提取从单一的输出道路的速率$β$。
英文摘要：
We investigate the dynamics of the asymmetric exclusion process at a junction. When two input roads are initially fully occupied and a single output road is initially empty, the ensuing rarefaction wave has a rich spatial structure. The density profile also changes dramatically as the initial densities are varied. Related phenomenology arises when one road feeds into two. Finally, we determine the phase diagram of the open system, where particles are fed into two roads at rate $α$ for each road, the two roads merge into one, and particles are extracted from the single output road at rate $β$.
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