Crossover phenomena in the critical behavior for long-range models with power-law couplings

zbMath1460.60110arXiv1812.10275MaRDI QIDQ5148303

Akira Sakai

Publication date: 1 February 2021

Full work available at URL: https://arxiv.org/abs/1812.10275

zbMATH Keywords

percolationIsing modelrandom walklace expansioncritical dimensionself-avoiding walkcrossover phenomenacritical two-point functionpower-law coupling

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

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