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- W2097471189 abstract "We present a renormalization group calculation for the directed percolation problem in an anisotropic square lattice, in which the horizontal (vertical) bonds are present with a concentration x (concentration y). The existence of an infinite path from the origin along a given direction θ is investigated in a xy phase diagram. Our method reproduces the exact known results for the x=1 (or y=1) limit for any θ. We also present an explicit calculation for the θ=45° case, and obtain the critical frontier and the expected cross-over of the correlation length exponent ν along this frontier On presente un calcul de groupe de renormalisation de la percolation dirigee sur un reseau carre anisotrope, sur lequel les liens horizontaux sont presents avec une concentration x. On etudie l'existence d'un chemin infini partant de l'origine et dirige dans une direction d'angle θ donne dans le diagramme de phase xy. La methode reproduit les resultats exacts pour x=1 ∀θ. On effectue aussi un calcul explicite pour θ=45° et on obtient la frontiere critique et le comportement de cross-over de l'exposant de la longueur de correlation ν le long de la frontiere" @default.
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- W2097471189 date "1983-01-01" @default.
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- W2097471189 title "Directed percolation in two dimensions : renormalization group approach" @default.
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- W2097471189 doi "https://doi.org/10.1051/jphyslet:019830044013049500" @default.
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