Mutual information as a tool for identifying phase transitions in dynamical complex systems with limited data
Open Access
- 30 May 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 75 (5), 051125
- https://doi.org/10.1103/physreve.75.051125
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.Keywords
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