Path selection and growth in a Poisson field

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Seminar
QUEST Center event
No
Speaker
Yossi Cohen
Date
22/11/2016 - 11:30 - 10:30
Place
Resnick Building 209, room 210
Abstract

The Poisson equation appears in many physical processes including electrostatics, fluid dynamics and fracture mechanics. Yet, pattern formation processes involving Poisson dynamics are not well-understood. Here we present a criterion for path selection for growing channels. We show that the growth of a channel in a Poisson field follows local symmetry in order to maximize the flux in its vicinity. We then use this criterion to reconstruct the history of a real network and to find the growth law associated with it. We also identify a cause for instability that results in a ramified structure in which the golden ratio prevails.