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

DOI10.1088/1751-8113/48/34/345002zbMath1329.82016arXiv1505.00983OpenAlexW306499920MaRDI QIDQ3447821

Edoardo Gabriele Barp, Alessandro Barp, François-Xavier Briol, Daniel Ueltschi

Publication date: 28 October 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00983

zbMATH Keywords

random loop modelPoisson-Dirichlet distributionmacroscopic loopsrandom interchange model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (7)

Critical parameter of random loop model on trees ⋮ Critical Parameters for Loop and Bernoulli Percolation ⋮ Quantum spins and random loops on the complete graph ⋮ Critical temperature of Heisenberg models on regular trees, via random loops ⋮ Loop correlations in random wire models ⋮ Sharp phase transition for random loop models on trees ⋮ Critical point for infinite cycles in a random loop model on trees

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