Directed percolation and generalized friendly random walkers
We show that the problem of directed percolation on an arbitrary lattice is equivalent to the problem of m directed random walkers with rather general attractive interactions, when suitably continued to m = 0. In 1 + 1 dimensions, this is dual to a model of interacting steps on a vicinal surface. A...
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| Fformat: | Journal article |
| Iaith: | English |
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1999
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| _version_ | 1826299176102658048 |
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| author | Cardy, J Colaiori, F |
| author_facet | Cardy, J Colaiori, F |
| author_sort | Cardy, J |
| collection | OXFORD |
| description | We show that the problem of directed percolation on an arbitrary lattice is equivalent to the problem of m directed random walkers with rather general attractive interactions, when suitably continued to m = 0. In 1 + 1 dimensions, this is dual to a model of interacting steps on a vicinal surface. A similar correspondence with interacting self-avoiding walks is constructed for isotropic percolation. |
| first_indexed | 2024-03-07T04:57:55Z |
| format | Journal article |
| id | oxford-uuid:d73dbc20-a824-43f5-a32c-03ffaff9899e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:57:55Z |
| publishDate | 1999 |
| record_format | dspace |
| spelling | oxford-uuid:d73dbc20-a824-43f5-a32c-03ffaff9899e2022-03-27T08:39:39ZDirected percolation and generalized friendly random walkersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d73dbc20-a824-43f5-a32c-03ffaff9899eEnglishSymplectic Elements at Oxford1999Cardy, JColaiori, FWe show that the problem of directed percolation on an arbitrary lattice is equivalent to the problem of m directed random walkers with rather general attractive interactions, when suitably continued to m = 0. In 1 + 1 dimensions, this is dual to a model of interacting steps on a vicinal surface. A similar correspondence with interacting self-avoiding walks is constructed for isotropic percolation. |
| spellingShingle | Cardy, J Colaiori, F Directed percolation and generalized friendly random walkers |
| title | Directed percolation and generalized friendly random walkers |
| title_full | Directed percolation and generalized friendly random walkers |
| title_fullStr | Directed percolation and generalized friendly random walkers |
| title_full_unstemmed | Directed percolation and generalized friendly random walkers |
| title_short | Directed percolation and generalized friendly random walkers |
| title_sort | directed percolation and generalized friendly random walkers |
| work_keys_str_mv | AT cardyj directedpercolationandgeneralizedfriendlyrandomwalkers AT colaiorif directedpercolationandgeneralizedfriendlyrandomwalkers |