Three-leg correlations in the two component spanning tree on the upper half-plane - Condensed Matter > Statistical MechanicsReport as inadecuate




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Abstract: We present a detailed asymptotic analysis of correlation functions for thetwo component spanning tree on the two-dimensional lattice when one componentcontains three paths connecting vicinities of two fixed lattice sites at largedistance $s$ apart. We extend the known result for correlations on the plane tothe case of the upper half-plane with closed and open boundary conditions. Wefound asymptotics of correlations for distance $r$ from the boundary to one ofthe fixed lattice sites for the cases $r\gg s \gg 1$ and $s \gg r \gg 1$.



Author: S.Y. Grigorev, V.S. Poghosyan, V.B. Priezzhev

Source: https://arxiv.org/







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