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, Edoardo Gabriele 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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