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...
| Үндсэн зохиолчид: | , |
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| Формат: | Journal article |
| Хэл сонгох: | English |
| Хэвлэсэн: |
1999
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| Тойм: | 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. |
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