具有共享颗粒库的竞争TASEP的混合群体
Mixed population of competing TASEPs with a shared reservoir of particles
摘要：
我们引入了一个平均场理论框架来描述多个完全不对称的简单排斥过程（TASEPs）具有不同的晶格长度，进入和退出速率，竞争一个有限的粒子库。我们提出的关系，为水库和晶格之间的粒子的分区：这些关系使我们能够表明，粒子的竞争可以有非平凡的影响，个别晶格的相行为。对于具有不同晶格的系统，我们发现当晶格的一个子集经历从低密度到高密度的相变时，整个晶格电流集合变得与总粒子数无关。我们将我们的方法推广到具有连续分布的晶格参数的系统，为此，我们证明了由单个晶格类型携带的电流的测量可以用于提取晶格参数的整个分布。我们的方法适用于人口的TASEP与任何分布的晶格参数，并可以很容易地扩展到平均场的情况下。
英文摘要：
We introduce a mean-field theoretical framework to describe multiple totally asymmetric simple exclusion processes (TASEPs) with different lattice lengths, entry and exit rates, competing for a finite reservoir of particles. We present relations for the partitioning of particles between the reservoir and the lattices: these relations allow us to show that competition for particles can have non-trivial effects on the phase behavior of individual lattices. For a system with non-identical lattices, we find that when a subset of lattices undergoes a phase transition from low to high density, the entire set of lattice currents becomes independent of total particle number. We generalize our approach to systems with a continuous distribution of lattice parameters, for which we demonstrate that measurements of the current carried by a single lattice type can be used to extract the entire distribution of lattice parameters. Our approach applies to populations of TASEPs with any distribution of lattice parameters, and could easily be extended beyond the mean-field case.
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