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Finite-size scaling as a way to probe near-criticality in natural swarms

机译:有限大小缩放是探测自然群中接近临界的一种方法

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摘要

Collective behavior in biological systems is often accompanied by strong correlations. The question has therefore arisen of whether correlation is amplified by the vicinity to some critical point in the parameters space. Biological systems, though, are typically quite far from the thermodynamic limit, so that the value of the control parameter at which correlation and susceptibility peak depend on size. Hence, a system would need to readjust its control parameter according to its size in order to be maximally correlated. This readjustment, though, has never been observed experimentally. By gathering three-dimensional data on swarms of midges in the field we find that swarms tune their control parameter and size so as to maintain a scaling behavior of the correlation function. As a consequence, correlation length and susceptibility scale with the system’s size and swarms exhibit a near-maximal degree of correlation at all sizes.
机译:生物系统中的集体行为通常伴随着很强的相关性。因此,出现了一个问题,即相关性是否被参数空间中某个临界点附近放大了。但是,生物系统通常距离热力学极限很远,因此相关性和敏感性峰取决于大小的控制参数值。因此,系统将需要根据其大小重新调整其控制参数,以便获得最大的相关性。但是,这种调整从未在实验中观察到。通过在田间mid群上收集三维数据,我们发现find群会调整其控制参数和大小,以保持相关函数的缩放行为。结果,与系统大小和群有关的相关长度和敏感性标度在所有大小上都表现出接近最大的相关度。

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