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Mutual information as a tool for identifying phase transitions in dynamical complex systems with limited data
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Wicks, Robert T., Chapman, Sandra C. and Dendy, R. O. (2007) Mutual information as a tool for identifying phase transitions in dynamical complex systems with limited data. Physical Review E, Vol.75 (No.5). Article: 051125. doi:10.1103/PhysRevE.75.051125 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.75.051125
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.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
| Journal or Publication Title: | Physical Review E | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 1539-3755 | ||||
| Official Date: | May 2007 | ||||
| Dates: |
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| Volume: | Vol.75 | ||||
| Number: | No.5 | ||||
| Number of Pages: | 8 | ||||
| Page Range: | Article: 051125 | ||||
| DOI: | 10.1103/PhysRevE.75.051125 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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