Anomalous behaviour of mutual information in finite flocks

被引：2

作者：

Barnett, L. ^{[1
]}

Brown, J. ^{[2
]}

Bossomaier, T. ^{[3
]}

机构：

[1] Univ Sussex, Dept Informat, Sackler Ctr Consciousness Sci, Brighton, E Sussex, England

[2] Charles Sturt Univ, Sch Comp & Math, Bathurst, NSW, Australia

[3] Charles Sturt Univ, Ctr Res Complex Syst, Bathurst, NSW, Australia

来源：

EPL | 2017年 / 120卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

PHASE-TRANSITIONS; DYNAMICS; MODEL;

D O I：

10.1209/0295-5075/120/38005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 locates the phase transition. Copyright (C) EPLA, 2018

引用

页数：6

共 46 条

[1] Study of phase transitions from short-time non-equilibrium behaviour [J].

Albano, E. V. ;

Bab, M. A. ;

Baglietto, G. ;

Borzi, R. A. ;

Grigera, T. S. ;

Loscar, E. S. ;

Rodriguez, D. E. ;

Puzzo, M. L. Rubio ;

Saracco, G. P. .

REPORTS ON PROGRESS IN PHYSICS, 2011, 74 (02)

[2] Phase transitions in systems of self-propelled agents and related network models [J].

Aldana, M. ;

Dossetti, V. ;

Huepe, C. ;

Kenkre, V. M. ;

Larralde, H. .

PHYSICAL REVIEW LETTERS, 2007, 98 (09)

[3] Collective Behaviour without Collective Order in Wild Swarms of Midges [J].

Attanasi, Alessandro ;

Cavagna, Andrea ;

Del Castello, Lorenzo ;

Giardina, Irene ;

Melillo, Stefania ;

Parisi, Leonardo ;

Pohl, Oliver ;

Rossaro, Bruno ;

Shen, Edward ;

Silvestri, Edmondo ;

Viale, Massimiliano .

PLOS COMPUTATIONAL BIOLOGY, 2014, 10 (07)

[4] Criticality and the onset of ordering in the standard Vicsek model [J].

Baglietto, Gabriel ;

Albano, Ezequiel V. ;

Candia, Julian .

INTERFACE FOCUS, 2012, 2 (06) :708-714

[5] Nature of the order-disorder transition in the Vicsek model for the collective motion of self-propelled particles [J].

Baglietto, Gabriel ;

Albano, Ezequiel V. .

PHYSICAL REVIEW E, 2009, 80 (05)

[6] Computer simulations of the collective displacement of self-propelled agents [J].

Baglietto, Gabriel ;

Albano, Ezequiel V. .

COMPUTER PHYSICS COMMUNICATIONS, 2009, 180 (04) :527-531

[7] Finite-size scaling analysis and dynamic study of the critical behavior of a model for the collective displacement of self-driven individuals [J].

Baglietto, Gabriel ;

Albano, Ezequiel V. .

PHYSICAL REVIEW E, 2008, 78 (02)

[8] Large-Scale Patterns in a Minimal Cognitive Flocking Model: Incidental Leaders, Nematic Patterns, and Aggregates [J].

Barberis, Lucas ;

Peruani, Fernando .

PHYSICAL REVIEW LETTERS, 2016, 117 (24)

[9] Information Flow in a Kinetic Ising Model Peaks in the Disordered Phase [J].

Barnett, Lionel ;

Lizier, Joseph T. ;

Harre, Michael ;

Seth, Anil K. ;

Bossomaier, Terry .

PHYSICAL REVIEW LETTERS, 2013, 111 (17)

[10] Social interactions dominate speed control in poising natural flocks near criticality [J].

Bialek, William ;

Cavagna, Andrea ;

Giardina, Irene ;

Mora, Thierry ;

Pohl, Oliver ;

Silvestri, Edmondo ;

Viale, Massimiliano ;

Walczak, Aleksandra M. .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2014, 111 (20) :7212-7217

← 1 2 3 4 5 →