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Title:
Mutual information as a tool for identifying phase transitions in dynamical complex systems with limited data
Authors:
Wicks, R. T.; Chapman, S. C.; Dendy, R. O.
Affiliation:
AA(Centre for Fusion, Space and Astrophysics, University of Warwick, Coventry, CV4 7AL, United Kingdom), AB(Centre for Fusion, Space and Astrophysics, University of Warwick, Coventry, CV4 7AL, United Kingdom), AC(Centre for Fusion, Space and Astrophysics, University of Warwick, Coventry, CV4 7AL, United Kingdom)
Publication:
Physical Review E, vol. 75, Issue 5, id. 051125 (PhRvE Homepage)
Publication Date:
05/2007
Origin:
APS
Abstract Copyright:
(c) 2007: The American Physical Society
DOI:
10.1103/PhysRevE.75.051125
Bibliographic Code:
2007PhRvE..75e1125W

Abstract

We use a well-known model [T. Vicsek , Phys. Rev. Lett. 15, 1226 (1995)] for flocking, to test mutual information as a tool for detecting order-disorder transitions, in particular when observations of the system are limited. We show that mutual information is a sensitive indicator of the phase transition location in terms of the natural dimensionless parameters of the system which we have identified. When only a few particles are tracked and when only a subset of the positional and velocity components is available, mutual information provides a better measure of the phase transition location than the susceptibility of the data.
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