Boltzmann Distribution of Sediment Transport

Physical Review Letters
A AbramianE Lajeunesse

Abstract

The coupling of sediment transport with the flow that drives it allows rivers to shape their own bed. Cross-stream fluxes of sediment play a crucial, yet poorly understood, role in this process. Here, we track particles in a laboratory flume to relate their statistical behavior to the self-organization of the granular bed they make up. As they travel downstream, the transported grains wander randomly across the bed's surface, thus inducing cross-stream diffusion. The balance of diffusion and gravity results in a peculiar Boltzmann distribution, in which the bed's roughness plays the role of thermal fluctuations, while its surface forms the potential well that confines the sediment flux.

References

Oct 16, 1995·Physical Review Letters·T B Liverpool, S F Edwards
Nov 3, 2001·Physical Review Letters·G DebrégeasJ M di Meglio
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Brian Utter, R P Behringer
Apr 20, 2004·Physical Review Letters·Denis FenisteinMartin van Hecke
Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G SeizillesF Métivier
Oct 30, 2016·Proceedings of the National Academy of Sciences of the United States of America·Pascale AussillousMatthieu Wyart

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Citations

Dec 18, 2020·Physical Review. E·A AbramianE Lajeunesse
Dec 8, 2021·Proceedings of the National Academy of Sciences of the United States of America·Predrag PopovićEric Lajeunesse

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