Sediment grains exhibit a Boltzmann distribution arising from the balance of random cross-stream diffusion induced by bed roughness and gravitational confinement by the bed surface.
Shields, PhD Thesis Technical University Berlin (1936)
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Boltzmann distribution of sediment transport
Sediment grains exhibit a Boltzmann distribution arising from the balance of random cross-stream diffusion induced by bed roughness and gravitational confinement by the bed surface.