Mutual information as a tool for identifying phase transitions in dynamical complex systems with limited data
File(s)
Accepted version
Author(s)
Wicks, RT
Chapman, SC
Dendy, RO
Type
Journal Article
Abstract
We use a well-known model [T. Vicsek et al., 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.
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.
Version
Accepted version
Date Issued
2007-05-30
Citation
PHYSICAL REVIEW E, 2007, 75 (5), pp.051125-1-051125-8
ISSN
1539-3755
Publisher
The American Physical Society
Start Page
051125-1
End Page
051125-8
Journal / Book Title
PHYSICAL REVIEW E
Volume
75
Issue
5
Copyright Statement
©2007 The American Physical Society
Identifier
http://www.imperial.ac.uk/people/r.wicks
Source Volume Number
75
Publication Status
Published
Article Number
051125