Work

Three-leg correlations in the two-component spanning tree on the upper half-plane

Year: 2009

Type: article

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

Source: Journal of Statistical Mechanics Theory and Experiment

DOI: 10.1088/1742-5468/2009/09/p09008

Authors: S Y Grigorev, V S Poghosyan, V B Priezzhev

Institutions: Joint Institute for Nuclear Research, Institute of Applied Problems of Physics

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Russian Foundation for Basic Research, Dynasty Foundation, Joint Institute for Nuclear Research

Awards: G7749338082, G7925923548