Anomalous behaviour of mutual information in finite flocks

Barnett, L, Brown, J and Bossomaier, T (2017) Anomalous behaviour of mutual information in finite flocks. EPL, 120 (38005). pp. 1-6. ISSN 0295-5075

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Abstract

The existing consensus is that flocks are poised at criticality, entailing long correlation lengths and a maximal value of Shannon mutual information in the large-system limit. We show, by contrast, that for finite flocks which do not truly break ergodicity in the long-observation time limit, mutual information may not only fail to peak at criticality —as observed for other critical systems— but also diverge as noise tends to zero. This result carries implications for other finite-size, out-of-equilibrium systems, where observation times may vary widely compared to time scales of internal system dynamics; thus it may not be assumed that mutual information locatesthe phase transition.

Item Type: Article
Schools and Departments: School of Engineering and Informatics > Informatics
Research Centres and Groups: Sackler Centre for Consciousness Science
Subjects: Q Science > QC Physics
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Depositing User: Marianne Cole
Date Deposited: 14 Sep 2018 10:40
Last Modified: 02 Jul 2019 14:33
URI: http://sro.sussex.ac.uk/id/eprint/78724

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