A numerical study of the 3D random interchange and random loop models
classification
🧮 math-ph
cond-mat.stat-mechmath.MPmath.PR
keywords
randominterchangelonglooploopsmodelscubicdetermined
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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 1/2.
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