Электронный каталог

Статья

Povolotsky, A.M.
Exact Loop Densities in O(1) Dense Loop Model on a Cylinder of Odd Circumference and Clusters in Half-Turn Self-Dual Critical Perocolation / A.M.Povolotsky, A.A.Trofimova // Journal of Statistical Mechanics: Theory and Experiment [Electronic resource]. – 2024. – Vol. 2024, No. 12. – P. 123101. – URL: https://doi.org/10.1088/1742-5468/ad973a. – Bibliogr.: 55.

We consider the O(1) dense loop model in a square lattice wrapped on a cylinder of odd circumference L and calculate the exact densities of loops. These densities of loops are equal to the densities of critical bond percolation clusters on a forty-five-degree rotated square lattice rolled into a cylinder with special boundary conditions which we refer to as half-turn self-dual percolation. The solution is based on a correspondence between the O(1) dense loop model and the six-vertex model at the Razumov-Stroganov point.



ОИЯИ = ОИЯИ (JINR)2024
Спец.(статьи,препринты) = С 325.1 - Точно решаемые и решеточные модели
Бюллетени = 10/025