Density regulation in strictly metric-free swarms
Density regulation in strictly metric-free swarms
复制标题
严格无度量群体中的密度调节
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
M. S. Turner
中科院分区：
文献类型：
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作者：
D. Pearce;M. S. Turner
现在有实验证据表明，鸟群中最近邻相互作用是无度量的，即它们没有特征相互作用长度尺度。然而，涉及拓扑分配的邻居之间相互作用的模型在空间扩展下自然不变，支持密度向零的连续减少，除非引入额外的内聚相互作用或人为控制密度，例如通过有限的系统大小。我们提出了一种解决方案，该解决方案涉及对那些在拓扑上被识别为处于群体边缘的个体的无度量运动偏差。该模型只有两个主要控制参数，一个控制随机噪声相对于共列程度的相对强度，另一个控制边缘上的运动偏差的程度，相对于共列的趋势。我们发现了一种新的随个体数N的实空间密度的幂律尺度，以及一种熟悉的有序到无序的转变。
There is now experimental evidence that nearest-neighbour interactions in flocks of birds are metric free, i.e. they have no characteristic interaction length scale. However, models that involve interactions between neighbours that are assigned topologically are naturally invariant under spatial expansion, supporting a continuous reduction in density towards zero, unless additional cohesive interactions are introduced or the density is artificially controlled, e.g. via a finite system size. We propose a solution that involves a metric-free motional bias on those individuals that are topologically identified to be on an edge of the swarm. This model has only two primary control parameters, one controlling the relative strength of stochastic noise to the degree of co-alignment and another controlling the degree of the motional bias for those on the edge, relative to the tendency to co-align. We find a novel power-law scaling of the real-space density with the number of individuals N as well as a familiar order-to-disorder transition.
影响因子：
64.8
作者：
Portugal, Steven J.;Hubel, Tatjana Y.;Usherwood, James R.
通讯作者：
Usherwood, James R.