Avalanche size distribution in a random walk model
We introduce a simple model for the size distribution of avalanches based on the idea that the front of an avalanche can be described by a directed random walk. The model captures some of the qualitative features of earthquakes, avalanches and other self-organized critical phenomena in one dimension...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Published: |
1996
|
| _version_ | 1797095256720670720 |
|---|---|
| author | Jonsson, T Wheater, J |
| author_facet | Jonsson, T Wheater, J |
| author_sort | Jonsson, T |
| collection | OXFORD |
| description | We introduce a simple model for the size distribution of avalanches based on the idea that the front of an avalanche can be described by a directed random walk. The model captures some of the qualitative features of earthquakes, avalanches and other self-organized critical phenomena in one dimension. We find scaling laws relating the frequency, size and width of avalanches and an exponent $4/3$ in the size distribution law. |
| first_indexed | 2024-03-07T04:25:16Z |
| format | Journal article |
| id | oxford-uuid:cc650ddf-6428-48b5-bb62-6a08bc5406e9 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:25:16Z |
| publishDate | 1996 |
| record_format | dspace |
| spelling | oxford-uuid:cc650ddf-6428-48b5-bb62-6a08bc5406e92022-03-27T07:21:40ZAvalanche size distribution in a random walk modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:cc650ddf-6428-48b5-bb62-6a08bc5406e9Symplectic Elements at Oxford1996Jonsson, TWheater, JWe introduce a simple model for the size distribution of avalanches based on the idea that the front of an avalanche can be described by a directed random walk. The model captures some of the qualitative features of earthquakes, avalanches and other self-organized critical phenomena in one dimension. We find scaling laws relating the frequency, size and width of avalanches and an exponent $4/3$ in the size distribution law. |
| spellingShingle | Jonsson, T Wheater, J Avalanche size distribution in a random walk model |
| title | Avalanche size distribution in a random walk model |
| title_full | Avalanche size distribution in a random walk model |
| title_fullStr | Avalanche size distribution in a random walk model |
| title_full_unstemmed | Avalanche size distribution in a random walk model |
| title_short | Avalanche size distribution in a random walk model |
| title_sort | avalanche size distribution in a random walk model |
| work_keys_str_mv | AT jonssont avalanchesizedistributioninarandomwalkmodel AT wheaterj avalanchesizedistributioninarandomwalkmodel |