Wrapping probabilities for Potts spin clusters on a torus

Abstract

In this work we obtain wrapping probabilities for Ising spin clusters on a torus. We use the analogy with the tricritical point of a Potts model with dilution. The formula obtained are tested against numerical simulation. We also provide closed form for the wrapping probabilities of cross clusters on untwisted tori.

12 pages, 2 figures, IOP style

References in corpus (2)

• Using the Schramm-Loewner evolution to explain certain non-local observables in the 2d critical Ising model
• Corner contribution to cluster numbers in the Potts model

Cited by in corpus (1)

• Three- and four-point connectivities of two-dimensional critical $Q-$ Potts random clusters on the torus