ar X iv : h ep - l at / 9 80 10 06 v 1 7 J an 1 99 8 Critical Equalities for Potts Models
نویسنده
چکیده
We apply a simple analytical criterion for locating critical temperatures to Potts models on square and triangular lattices. In the self-dual case, i. e. on the square lattice we reproduce known exact values of the critical temperature and derive the internal energy of the model at the critical point. For the Potts model on the triangular lattice we obtain very good numerical estimate of the critical temperature and also of the internal energy at the critical point.
منابع مشابه
ar X iv : h ep - l at / 9 70 80 06 v 1 1 1 A ug 1 99 7 1 Quenched Spectroscopy for the N = 1 Super - Yang – Mills Theory
We present results for the Quenched SU(2) N = 1 Super-Yang–Mills spectrum at β = 2.6, on a V = 16 3 × 32 lattice , in the OZI approximation. This is a first step towards the understanding of the chiral limit of lattice N = 1 SUSY.
متن کاملar X iv : h ep - l at / 9 80 50 06 v 1 8 M ay 1 99 8 Studies in Random Geometries : Hyper - Cubic Random Surfaces and Simplicial Quantum Gravity
We analyze two models of random geometries : planar hyper-cubic random surfaces and four dimensional simplicial quantum gravity. We show for the hyper-cubic random surface model that a geometrical constraint does not change the critical properties of the model compared to the model without this constraint. We analyze the phase diagram for the model with extrinsic curvature. For four dimensional...
متن کاملar X iv : h ep - l at / 9 30 30 16 v 1 3 1 M ar 1 99 3 Critical behaviour of the 1 D q - state Potts model with long - range interactions
The critical behaviour of the one-dimensional q-state Potts model with long-range interactions decaying with distance r as r −(1+σ) has been studied in the wide range of parameters 0 < σ ≤ 1 and 1 16 ≤ q ≤ 64. A transfer matrix has been constructed for a truncated range of interactions for integer and continuous q, and finite range scaling has been applied. Results for the phase diagram and the...
متن کامل