# A numerical study of the 3D random interchange and random loop models

@article{Barp2015ANS,
title={A numerical study of the 3D random interchange and random loop models},
author={Alessandro Barp and Edoardo Gabriele Barp and François-Xavier Briol and Daniel Ueltschi},
journal={Journal of Physics A},
year={2015},
volume={48},
pages={345002}
}
• Alessandro Barp, +1 author Daniel Ueltschi
• Published 2015
• Physics, Mathematics
• Journal of Physics A
• We have studied numerically the random interchange model and related loop models on the three-dimensional cubic lattice. We have determined the transition time for the occurrence of long loops. The joint distribution of the lengths of long loops is Poisson–Dirichlet with parameter 1 or $\frac{1}{2}$.

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