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Path Selection in a Poisson field

Author(s)
Cohen, Yosef; Rothman, Daniel H.
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Abstract
A criterion for path selection for channels growing in a Poisson field is presented. We invoke a generalization of the principle of local symmetry. We then use this criterion to grow channels in a confined geometry. The channel trajectories reveal a self-similar shape as they reach steady state. Analyzing their paths, we identify a cause for branching that may result in a ramified structure in which the golden ratio appears.
Date issued
2016-11
URI
http://hdl.handle.net/1721.1/109045
Department
Massachusetts Institute of Technology. Department of Chemical Engineering; Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Journal
Journal of Statistical Physics
Publisher
Springer-Verlag
Citation
Cohen, Yossi, and Daniel H. Rothman. “Path Selection in a Poisson Field.” Journal of Statistical Physics 167.3–4 (2017): 703–712. © 2016 Springer Science+Business Media New York
Version: Author's final manuscript
ISSN
0022-4715
1572-9613

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