Correlations in the n → 0 limit of the dense O(n) loop model

The two-dimensional dense O(n) loop model for n = 1 is equivalent to the bond percolation and for n = 0 to the dense polymers or spanning trees. We consider the boundary correlations on the half space and calculate the probability Pb that a cluster of bonds has a single common point with the boundar...

Full description

Saved in:
Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 46; no. 14; pp. 145002 - 145019
Main Authors Poghosyan, V S, Priezzhev, V B
Format Journal Article
LanguageEnglish
Published IOP Publishing 12.04.2013
Subjects
bond percolation
dense polymers
Kirchhoff theorem
spanning trees
Online AccessGet full text

Cover

More Information
Summary:The two-dimensional dense O(n) loop model for n = 1 is equivalent to the bond percolation and for n = 0 to the dense polymers or spanning trees. We consider the boundary correlations on the half space and calculate the probability Pb that a cluster of bonds has a single common point with the boundary. In the limit n → 0, we find an analytical expression for Pb using the generalized Kirchhoff theorem.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/46/14/145002