Path Selection in a Poisson field
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10955_2016_1669_ReferencePDF.pdf
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3.28 MB
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Checksum (MD5)
cfaf71f7adc4161e6ca8c0b92c895191
Author(s)
Cohen, Yosef
Rothman, Daniel H.
Date Issued
November 2016
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s10955-016-1669-7
