Phase transition properties of 3D Potts models
نویسندگان
چکیده
منابع مشابه
Disordered Phase of 2D Potts Models
We use Monte Carlo simulations to measure the spin-spin correlation function in the disordered phase of two-dimensional q-state Potts models with q = 10, 15, and 20 at the first-order transition point βt. To extract the correlation length ξd from the exponential decay of the correlation function over several decades with the desired accuracy we make extensively use of cluster-update techniques ...
متن کاملAbsence of Phase Transition for Antiferromagnetic Potts Models via the Dobrushin Uniqueness Theorem
We prove that the q-state Potts antiferromagnet on a lattice of maximum coordination number r exhibits exponential decay of correlations uniformly at all temperatures (including zero temperature) whenever q > 2r. We also prove slightly better bounds for several two-dimensional lattices: square lattice (exponential decay for q ≥ 7), triangular lattice (q ≥ 11), hexagonal lattice (q ≥ 4), and Kag...
متن کاملPhase transition and surface sublimation of a mobile Potts model.
We study in this paper the phase transition in a mobile Potts model by the use of Monte Carlo simulation. The mobile Potts model is related to a diluted Potts model, which is also studied here by a mean-field approximation. We consider a lattice where each site is either vacant or occupied by a q-state Potts spin. The Potts spin can move from one site to a nearby vacant site. In order to study ...
متن کاملFirst-Order Phase Transition in Potts Models with finite-range interactions
Abstract. We consider the Q-state Potts model on Z, Q ≥ 3, d ≥ 2, with Kac ferromagnetic interactions and scaling parameter γ. We prove the existence of a first order phase transition for large but finite potential ranges. More precisely we prove that for γ small enough there is a value of the temperature at which coexist Q+1 Gibbs states. The proof is obtained by a perturbation around mean-fie...
متن کاملSecond-Order Phase Transition Induced by Deterministic Fluctuations in Aperiodic Eight-State Potts Models
We investigate the influence of aperiodic modulations of the exchange interactions between nearest-neighbour rows on the phase transition of the two-dimensional eight-state Potts model. The systems are studied numerically through intensive Monte Carlo simulations using the Swendsen-Wang cluster algorithm for different aperiodic sequences. The transition point is located through duality relation...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2008
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2008.04.020