受驱动扩散格子气中团簇粗化与破碎的竞争
Competition of coarsening and shredding of clusters in a driven diffusive lattice gas
摘要：
本文研究了两种反向运动粒子的受驱动扩散格子气模型。该模型的动机是双向交通的蚂蚁预先存在的线索。第三个物种，对应于蚂蚁用于通信的信息素，是不保守的，并介导粒子之间的相互作用。在这里，我们研究粒子的时空组织。在这一模型的单向变体中，已知它是由“松散簇”的形成和粗化决定的。对于我们的双向模型，我们表明，相反移动的集群的相互作用是必不可少的。在演化的后期阶段，由于在与相对移动的对应物相遇时的“粉碎”和随后在无碰撞演化过程中的“粗化”之间的竞争，集群的大小会发生振荡。我们还建立了一个非平凡的依赖系统大小的时空组织。
英文摘要：
We investigate a driven diffusive lattice gas model with two oppositely moving species of particles. The model is motivated by bi-directional traffic of ants on a pre-existing trail. A third species, corresponding to pheromones used by the ants for communication, is not conserved and mediates interactions between the particles. Here we study the spatio-temporal organization of the particles. In the uni-directional variant of this model it is known to be determined by the formation and coarsening of ``loose clusters''. For our bi-directional model, we show that the interaction of oppositely moving clusters is essential. In the late stages of evolution the cluster size oscillates because of a competition between their `shredding' during encounters with oppositely moving counterparts and subsequent "coarsening" during collision-free evolution. We also establish a nontrivial dependence of the spatio-temporal organization on the system size.
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