2 8 M ay 1 99 7 Coupled critical Models : Application to Ising - Potts Models

نویسنده

  • P. Simon
چکیده

We discuss the critical behaviour of 2D Ising and q−states Potts models coupled by their energy density. We found new tricritical points. The procedure employed is the renormalisation approach of the perturbations series around conformal field theories representing pure models as already used for disordered spins models. This analysis could be useful to understand the physics of coupled critical models like the fully frustrated XY model.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

1 6 M ay 1 99 7 Why Loops Don ’ t Matter

In recent work [1] we have found identical behaviour for various spin models on " thin " random graphs-Feynman diagrams-and the corresponding Bethe lattices. In this paper we observe that the ratios of the saddle point equations in the random graph approach are identical to the fixed point(s) of the recursion relations which are used to solve the models on the Bethe lattice. The loops in the ra...

متن کامل

ar X iv : h ep - t h / 94 05 01 9 v 1 4 M ay 1 99 4 FUSION OF A – D – E LATTICE MODELS

Fusion hierarchies of A–D–E face models are constructed. The fused critical D, E and elliptic D models yield new solutions of the YangBaxter equations with bond variables on the edges of faces in addition to the spin variables on the corners. It is shown directly that the row transfer matrices of the fused models satisfy special functional equations. Intertwiners between the fused A–D–E models ...

متن کامل

Ising and Potts models

At the critical point in two dimensions, the number of percolation clusters of enclosed area greater than A is proportional to A−1, with a proportionality constant C that is universal. We show theoretically (based upon Coulomb gas methods), and verify numerically to high precision, that C = 1/8 √ 3π = 0.022972037 . . .. We also derive, and verify to varying precision, the corresponding constant...

متن کامل

ar X iv : 0 70 5 . 05 06 v 1 [ m at h . PR ] 3 M ay 2 00 7 Space – time percolation

The contact model for the spread of disease may be viewed as a directed percolation model on Z×R in which the continuum axis is oriented in the direction of increasing time. Techniques from percolation have enabled a fairly complete analysis of the contact model at and near its critical point. The corresponding process when the time-axis is unoriented is an undirected percolation model to which...

متن کامل

2 1 D ec 2 00 8 Ising ( Conformal ) Fields and Cluster Area Measures

We provide a representation for the scaling limit of the d = 2 critical Ising magnetization field as a (conformal) random field using SLE (Schramm-Loewner Evolution) clusters and associated renormalized area measures. The renormalized areas are from the scaling limit of the critical FK (Fortuin-Kasteleyn) clusters and the random field is a convergent sum of the area measures with random signs. ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997