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  5. Mutual information as a tool for identifying phase transitions in dynamical complex systems with limited data
 
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Mutual information as a tool for identifying phase transitions in dynamical complex systems with limited data
File(s)
Wicks2007MIVicsekModel.pdf (536.33 KB)
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.
Version
Accepted version
Date Issued
2007-05-30
Citation
PHYSICAL REVIEW E, 2007, 75 (5), pp.051125-1-051125-8
URI
http://hdl.handle.net/10044/1/4673
URL
http://link.aps.org/doi/10.1103/PhysRevE.75.051125
DOI
https://www.dx.doi.org/10.1103/PhysRevE.75.051125
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
License URL
http://www.rioxx.net/licenses/all-rights-reserved
Identifier
http://www.imperial.ac.uk/people/r.wicks
Source Volume Number
75
Publication Status
Published
Article Number
051125
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