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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المؤلفون الرئيسيون: Cardy, J, Colaiori, F
التنسيق: Journal article
اللغة:English
منشور في: 1999
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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.
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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