Collective traffic-like movement of ants on a trail: Dynamical phases and phase transitions
Collective traffic-like movement of ants on a trail: Dynamical phases and phase transitions
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DOI：
10.1143/jpsj.73.2979
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发表时间：
2004-11-01
影响因子：
1.7
通讯作者：
Chowdhury, D
中科院分区：
文献类型：
--
作者：
Kunwar, A;John, A;Chowdhury, D
蚂蚁在路径上的类交通的集体运动可以用随机元胞自动机模型来描述。我们早先已经用各种平均场近似和计算机模拟研究了它的不寻常的流量-密度关系。在本文中，我们研究的模型以下的替代方法的基础上的类比与零程过程，这是少数已知的完全可解的随机动力学模型之一。我们表明，我们的理论可以定量地解释不寻常的非单调依赖的平均速度的蚂蚁对它们的密度有限格周期性边界条件。此外，我们认为，该模型表现出一个连续的相变在临界密度只有在一个极限情况下。此外，我们研究的相图的模型取代周期性边界条件的开放边界条件。
The traffic-like collective movement of ants on a trail can be described by a stochastic cellular automaton model. We have earlier investigated its unusual flow-density relation by using various mean field approximations and computer simulations. In this paper, we study the model following an alternative approach based on the analogy with the zero range process, which is one of the few known exactly solvable stochastic dynamical models. We show that our theory can quantitatively account for the unusual non-monotonic dependence of the average speed of the ants on their density for finite lattices with periodic boundary conditions. Moreover, we argue that the model exhibits a continuous phase transition at the critial density only in a limiting case. Furthermore, we investigate the phase diagram of the model by replacing the periodic boundary conditions by open boundary conditions.