Transitions in a self-propelled-particles model with coupling of accelerations.
Transitions in a self-propelled-particles model with coupling of accelerations.
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DOI：
10.1103/physreve.79.021908
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发表时间：
2009-02
期刊：
影响因子：
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通讯作者：
P. Szabó;Máté Nagy;T. Vicsek
中科院分区：
文献类型：
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作者：
P. Szabó;Máté Nagy;T. Vicsek
我们考虑集体运动的原始自推进粒子(SPP)模型的三维、广义版本。通过推广影响有序的因素，我们研究了SPP的运动同时取决于相邻粒子的速度和加速度的情况，而不是仅仅由前者决定的情况。通过改变确定速度项和加速度项的相对影响的权重参数S的值，系统经历作为行为模式的函数的动力学相变。在S的临界值以下，系统呈现无序运动，高于临界值时，系统的动力学类似于SPP模型。我们证明了策略变量的临界值可以对应于系统单元之间的信息交换在这一点上最大的意义上的进化最优。
We consider a three-dimensional, generalized version of the original self-propelled-particles (SPP) model for collective motion. By extending the factors influencing the ordering, we investigate the case when the movement of the SPPs depends on both the velocity and the acceleration of the neighboring particles, instead of being determined solely by the former one. By changing the value of a weight parameter s determining the relative influence of the velocity and the acceleration terms, the system undergoes a kinetic phase transition as a function of a behavioral pattern. Below a critical value of s the system exhibits disordered motion, while above it the dynamics resembles that of the SPP model. We show that the critical value of the strategy variable could correspond to an evolutionary optimum in the sense that the information exchange between the units of the system is maximal in this point.