Articles | Volume 9, issue 3
https://doi.org/10.5194/esurf-9-615-2021
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, Sarah G. W. Williams, and Tyler H. Doane

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Latest update: 14 Jun 2024
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.