UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Ferromagnetic phase transition for the spanning-forest model (q -> 0 limit of the Potts model) in three or more dimensions

Deng, YJ; Garoni, TM; Sokal, AD; (2007) Ferromagnetic phase transition for the spanning-forest model (q -> 0 limit of the Potts model) in three or more dimensions. PHYS REV LETT , 98 (3) , Article 030602. 10.1103/PhysRevLett.98.030602. Green open access

[thumbnail of 82820.pdf]
Preview
PDF
82820.pdf

Download (277kB)

Abstract

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 w(c). We present numerical estimates of w(c) and of the thermal and magnetic critical exponents. We conjecture that the upper critical dimension is 6.

Type: Article
Title: Ferromagnetic phase transition for the spanning-forest model (q -> 0 limit of the Potts model) in three or more dimensions
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.98.030602
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.98.030602
Language: English
Additional information: © 2007 The American Physical Society
Keywords: MATRIX-TREE THEOREM, CRITICAL EXPONENTS, MONTE-CARLO, SITE PERCOLATION, ALGORITHMS, LATTICE, PROOF, GAS
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/82820
Downloads since deposit
144Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item