English

Field theory of Ising percolating clusters

High Energy Physics - Theory 2009-08-11 v1 Statistical Mechanics

Abstract

The clusters of up spins of a two-dimensional Ising ferromagnet undergo a second order percolative transition at temperatures above the Curie point. We show that in the scaling limit the percolation threshold is described by an integrable field theory and identify the non-perturbative mechanism which allows the percolative transition in absence of thermodynamic singularities. The analysis is extended to the Kertesz line along which the Coniglio-Klein droplets percolate in a positive magnetic field.

Keywords

Cite

@article{arxiv.0902.3339,
  title  = {Field theory of Ising percolating clusters},
  author = {Gesualdo Delfino},
  journal= {arXiv preprint arXiv:0902.3339},
  year   = {2009}
}

Comments

19 pages, 8 figures

R2 v1 2026-06-21T12:13:20.904Z