Escudero Carlos, Yates Christian A, Buhl Jerome, Couzin Iain D, Erban Radek, Kevrekidis Ioannis G, Maini Philip K
ICMAT, CSIC-UAM-UC3M-UCM, Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Ciudad Universitaria de Cantoblanco, 28049 Madrid, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jul;82(1 Pt 1):011926. doi: 10.1103/PhysRevE.82.011926. Epub 2010 Jul 29.
We obtain a Fokker-Planck equation describing experimental data on the collective motion of locusts. The noise is of internal origin and due to the discrete character and finite number of constituents of the swarm. The stationary probability distribution shows a rich phenomenology including nonmonotonic behavior of several order and disorder transition indicators in noise intensity. This complex behavior arises naturally as a result of the randomness in the system. Its counterintuitive character challenges standard interpretations of noise induced transitions and calls for an extension of this theory in order to capture the behavior of certain classes of biologically motivated models. Our results suggest that the collective switches of the group's direction of motion might be due to a random ergodic effect and, as such, they are inherent to group formation.
我们得到了一个福克 - 普朗克方程,该方程描述了蝗虫群体运动的实验数据。噪声源于内部,是由于群体组成部分的离散特性和有限数量所致。稳态概率分布呈现出丰富的现象学特征,包括噪声强度中几个有序和无序转变指标的非单调行为。这种复杂行为是系统随机性的自然结果。其违反直觉的特性对噪声诱导转变的标准解释提出了挑战,并要求扩展该理论以捕捉某些类别的生物驱动模型的行为。我们的结果表明,群体运动方向的集体切换可能是由于随机遍历效应,因此,它们是群体形成所固有的。