We present Monte Carlo simulations of the spanning-forest model (q→0 limit of the ferromagnetic Potts model) in spatial dimensions d=3, 4, 5. We show that, in contrast to the two-dimensional case, the model has a ferromagnetic second-order phase transition at a finite positive value wc. We present numerical estimates of wc and of the thermal and magnetic critical exponents. We conjecture that the upper critical dimension is 6.
ASJC Scopus subject areas
- Physics and Astronomy(all)