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.
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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 |
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