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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Bibliografiska uppgifter
Huvudupphovsmän: Cardy, J, Colaiori, F
Materialtyp: Journal article
Språk:English
Publicerad: 1999
Beskrivning
Sammanfattning: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.