Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-09-19
Physics
Condensed Matter
Statistical Mechanics
4 pages
Scientific paper
Understanding collective properties of driven particle systems is significant for naturally occurring aggregates and because the knowledge gained can be used as building blocks for the design of artificial ones. We model self propelling biological or artificial individuals interacting through pairwise attractive and repulsive forces. For the first time, we are able to predict stability and morphology of organization starting from the shape of the two-body interaction. We present a coherent theory, based on fundamental statistical mechanics, for all possible phases of collective motion.
Bertozzi Andrea L.
Chayes Lincoln S.
Chuang Y. L.
D'Orsogna Maria R.
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