An Analyticity Bound for Two-dimensional Ising Model at Low Temperature
نویسنده
چکیده
We study the coexistence phase in two-dimensional Ising model. Optimizing the cluster expansion technique we are able to prove the phase separation phenomenon, with the Onsager value for the surface tension, in a range > where estimates from above the critical to within 19% and essentially coincides with the entropic bound.
منابع مشابه
ar X iv : c on d - m at / 9 70 10 47 v 1 8 J an 1 99 7 Low Dimensional Ordering on a Lattice Model Fabio
A simple d-dimensional lattice model is proposed, incorporating some degree of frustration and thus capable of describing some aspects of molecular orientation in covalently bound molecular solids. For d = 2 the model is shown to be equivalent to the standard two-dimensional Ising model, while for d > 2 it describes a peculiar transition from an isotropic high temperature phase to a low-dimensi...
متن کاملبسط دمای بالای پذیرفتاری مدل آیزینگ شبکه کاگومه با برهمکنش نزدیکترین همسایهها
The Ising model is one of the simplest models describing the interacting particles. In this work, we calculate the high temperature series expansions of zero field susceptibility of ising model with ferromagnetic, antiferromagnetic and one antiferromagnetic interactions on two dimensional kagome lattice. Using the Pade´ approximation, we calculate the susceptibility of critical exponent of fer...
متن کاملBounds on the Correlations and Analyticity Properties of Ferromagnetic Ising Spin Systems*
We consider a ferromagnetic Ising spin system isomorphic to a lattice gas with attractive interactions. Using the Fortuin, Kasteleyn and Ginibre (FKG) inequalities we derive bounds on the decay of correlations between two widely separated sets of particles in terms of the decay of the pair correlation. This leads to bounds on the derivatives of various orders of the free energy with respect to ...
متن کاملMagnetic Properties in a Spin-1 Random Transverse Ising Model on Square Lattice
In this paper we investigate the effect of a random transverse field, distributed according to a trimodal distribution, on the phase diagram and magnetic properties of a two-dimensional lattice (square with z=4), ferromagnetic Ising system consisting of magnetic atoms with spin-1. This study is done using the effectivefield theory (EFT) with correlations method. The equations are derived using...
متن کاملDecay of particles above threshold in the Ising field theory with magnetic field
The two-dimensional scaling Ising model in a magnetic field at critical temperature is integrable and possesses eight stable particles Ai (i = 1, . . . , 8) with different masses. The heaviest five lie above threshold and owe their stability to integrability. We use form factor perturbation theory to compute the decay widths of the first two particles above threshold when integrability is broke...
متن کامل