Articles | Volume 9, issue 3
Earth Surf. Dynam., 9, 615–628, 2021
https://doi.org/10.5194/esurf-9-615-2021
Earth Surf. Dynam., 9, 615–628, 2021
https://doi.org/10.5194/esurf-9-615-2021

Research article 16 Jun 2021

Research article | 16 Jun 2021

Rarefied particle motions on hillslopes – Part 3: Entropy

David Jon Furbish et al.

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Latest update: 21 Sep 2021
Short summary
The generalized Pareto distribution of particle travel distances on steep hillslopes, as described in two companion papers (Furbish et al., 2021a, 2021b), is a maximum entropy distribution. This simply represents the most probable way that a great number of particles become distributed into distance states, subject to a fixed total energetic cost due to frictional effects of particle–surface collisions. The maximum entropy criterion is equivalent to a formal application of Occam's razor.