Path Selection in a Poisson field
Author(s)Rothman, Daniel H; Cohen, Yosef
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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.
DepartmentMassachusetts Institute of Technology. Department of Chemical Engineering; Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Journal of Statistical Physics
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
Author's final manuscript