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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 BossomaierThe 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.
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Publication status
- Published
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- Published version
Journal
EPLISSN
0295-5075Publisher
EPL AssociationExternal DOI
Issue
38005Volume
120Page range
1-6Department affiliated with
- Informatics Publications
Research groups affiliated with
- Sackler Centre for Consciousness Science Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2018-09-14First Compliant Deposit (FCD) Date
2018-09-13Usage metrics
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