University of Sussex
Browse

File(s) under permanent embargo

Anomalous behaviour of mutual information in finite flocks

journal contribution
posted on 2023-06-09, 15:04 authored by Lionel BarnettLionel Barnett, J Brown, T Bossomaier
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

EPL

ISSN

0295-5075

Publisher

EPL Association

Issue

38005

Volume

120

Page range

1-6

Department affiliated with

  • Informatics Publications

Research groups affiliated with

  • Sackler Centre for Consciousness Science Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2018-09-14

First Compliant Deposit (FCD) Date

2018-09-13

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC