dorsal/arxiv
View SchemaMutual Information as a Tool for Identifying Phase Transitions in Dynamical Complex Systems With Limited Data
| Authors | R. T. Wicks, S. C. Chapman, R. O. Dendy |
|---|---|
| Categories | |
| ArXiv ID | physics/0612198 |
| URL | https://arxiv.org/abs/physics/0612198 |
| DOI | 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 are available, mutual information provides a better measure of the phase transition location than the susceptibility of the data.
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"abstract": "We use a well known model (T. Vicsek et al. Phys Rev Lett 15, 1226 (1995))\nfor flocking to test mutual information as a tool for detecting order-disorder\ntransitions, in particular when observations of the system are limited. We show\nthat mutual information is a sensitive indicator of the phase transition\nlocation, in terms of the natural dimensionless parameters of the system which\nwe have identified. When only a few particles are tracked, and when only a\nsubset of the positional and velocity components are available, mutual\ninformation provides a better measure of the phase transition location than the\nsusceptibility of the data.",
"arxiv_id": "physics/0612198",
"authors": [
"R. T. Wicks",
"S. C. Chapman",
"R. O. Dendy"
],
"categories": [
"physics.data-an",
"physics.bio-ph"
],
"doi": "10.1103/PhysRevE.75.051125",
"title": "Mutual Information as a Tool for Identifying Phase Transitions in Dynamical Complex Systems With Limited Data",
"url": "https://arxiv.org/abs/physics/0612198"
},
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