Abstract
Frictional finger trees are patterns emerging from non-equilibrium processes in particle-fluid systems. Their formation share several properties with growth algorithms for minimum spanning trees (MSTs) in random energy landscapes. We propose that the frictional finger trees are indeed in the same geometric universality class as the MSTs, which is checked using updated numerical simulation algorithms for frictional fingers. We also propose a theoretical model for anomalous diffusion in these patterns, and discuss the role of diffusion as a tool to classify geometry.
Highlights
17 June 2019Kristian Stølevik Olsen , Eirik Grude Flekkøy, Luiza Angheluta, James Matthew Campbell, Knut Jørgen Måløy and Bjørnar Sandnes
Frictional finger patterns are a result of flow instabilities in quasi-two-dimensional (2D) deformable media due to frictional and capillary forces [1, 2]
The random geometry of the emerging patterns arises due to non-uniformity in the initial packing fraction
Summary
Kristian Stølevik Olsen , Eirik Grude Flekkøy, Luiza Angheluta, James Matthew Campbell, Knut Jørgen Måløy and Bjørnar Sandnes. Kristian Stølevik Olsen , Eirik Grude Flekkøy, Luiza Angheluta, James Matthew Campbell, Knut Jørgen Måløy and Bjørnar Sandnes2 Original content from this Abstract work may be used under the terms of the Creative. Frictional finger trees are patterns emerging from non-equilibrium processes in particle-fluid systems. Commons Attribution 3.0 Their formation share several properties with growth algorithms for minimum spanning trees (MSTs) licence. We propose that the frictional finger trees are in the same.
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