论文标题
一所固定鱼学校的集体取向，对风湿性的影响
Collective orientation of an immobile fish school, effect on rheotaxis
论文作者
论文摘要
我们研究了一所固定鱼学校的定向顺序。从第二个牛顿定律开始，我们表明定向的惯性动力是由Ornstein-Uhlenbeck过程所统治的。这个过程描述了浅滩中邻近鱼之间对齐的动态，这是移动鱼类学校文献中已经使用的动态。首先，在静止的流体中，我们计算出随着噪声的函数而迅速减少的全局极化（即鱼的平均方向）。我们表明，鱼能够重新定位的速度越快，学校就能负担得起自己的重要噪音价值。其次，在溪流的繁殖过程中，每条鱼都倾向于定向并在流动上游泳：所谓的rheotaxis。因此，即使在流动的情况下，也会导致一所固定的鱼学校。通过在鱼之间的对准相互作用中添加单个的风湿性效应，我们表明在嘈杂的环境中，通过鱼之间的比对相互作用可以增强单个风湿性。
We study the orientational order of an immobile fish school. Starting from the second Newton's law, we show that the inertial dynamics of orientations is ruled by an Ornstein-Uhlenbeck process. This process describes the dynamics of alignment between neighboring fish in a shoal, a dynamics already used in the literature for mobile fish schools. Firstly, in a fluid at rest, we calculate the global polarization (i.e. the mean orientation of the fish) which decreases rapidly as a function of the noise. We show that the faster a fish is able to reorient itself, the more the school can afford to reorder itself for important noise values. Secondly, in the prescence of a stream, each fish tends to orient itself and swims against the flow: the so-called rheotaxis. So even in the presence of a flow, it results in an immobile fish school. By adding an individual rheotaxis effect to alignment interaction between fish, we show that in a noisy environment, individual rheotaxis is enhanced by alignment interactions between fish.
