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.

Finite-size scaling as a way to probe near-criticality in natural swarms / A. Attanasi, A. Cavagna, L. Del Castello, I. Giardina, S. Melillo, L. Parisi, O. Pohl, B. Rossaro, E. Shen, E. Silvestri, M. Viale. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 113:23(2014 Dec 01), pp. 238102.1-238102.5.

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

B. Rossaro;
2014

Abstract

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.
Settore FIS/01 - Fisica Sperimentale
Settore BIO/05 - Zoologia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/245172
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