We show that the problem of directed percolation on an arbitrary lattice is equivalent to the problem of đť‘š directed random walkers with rather general attractive interactions, when suitably continued to đť‘š=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.
Directed Percolation and Generalized Friendly Random Walkers
Colaiori, Francesca
1999
Abstract
We show that the problem of directed percolation on an arbitrary lattice is equivalent to the problem of đť‘š directed random walkers with rather general attractive interactions, when suitably continued to đť‘š=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.File in questo prodotto:
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Descrizione: Directed percolation and generalized friendly random walkers
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