Directed compact percolation near a damp wall with biased growth
The model of directed compact percolation near a damp wall is generalized to allow for a bias in the growth of a cluster, either towards or away from the wall. The percolation probability for clusters beginning with seed width m, any distance from the wall, is derived exactly by solving the associat...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/4321 |
| _version_ | 1848744482999107584 |
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| author | Lonsdale, Heather Owczarek, A. |
| author_facet | Lonsdale, Heather Owczarek, A. |
| author_sort | Lonsdale, Heather |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The model of directed compact percolation near a damp wall is generalized to allow for a bias in the growth of a cluster, either towards or away from the wall. The percolation probability for clusters beginning with seed width m, any distance from the wall, is derived exactly by solving the associated recurrences. It is found that the general biased case near a damp wall leads to a critical exponent ß=1, in line with the dry biased case, which differs from the unbiased damp/dry exponent ß=2. © 2012 IOP Publishing Ltd and SISSA Medialab srl. |
| first_indexed | 2025-11-14T06:02:10Z |
| format | Journal Article |
| id | curtin-20.500.11937-4321 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:02:10Z |
| publishDate | 2012 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-43212017-09-13T14:45:09Z Directed compact percolation near a damp wall with biased growth Lonsdale, Heather Owczarek, A. The model of directed compact percolation near a damp wall is generalized to allow for a bias in the growth of a cluster, either towards or away from the wall. The percolation probability for clusters beginning with seed width m, any distance from the wall, is derived exactly by solving the associated recurrences. It is found that the general biased case near a damp wall leads to a critical exponent ß=1, in line with the dry biased case, which differs from the unbiased damp/dry exponent ß=2. © 2012 IOP Publishing Ltd and SISSA Medialab srl. 2012 Journal Article http://hdl.handle.net/20.500.11937/4321 10.1088/1742-5468/2012/11/P11001 restricted |
| spellingShingle | Lonsdale, Heather Owczarek, A. Directed compact percolation near a damp wall with biased growth |
| title | Directed compact percolation near a damp wall with biased growth |
| title_full | Directed compact percolation near a damp wall with biased growth |
| title_fullStr | Directed compact percolation near a damp wall with biased growth |
| title_full_unstemmed | Directed compact percolation near a damp wall with biased growth |
| title_short | Directed compact percolation near a damp wall with biased growth |
| title_sort | directed compact percolation near a damp wall with biased growth |
| url | http://hdl.handle.net/20.500.11937/4321 |