A Cluster Method for the Ashkin–Teller Model

نویسندگان

  • Shai Wiseman
  • Eytan Domany
چکیده

A cluster Monte Carlo algorithm for the Ashkin-Teller (AT) model is constructed according to the guidelines of a general scheme for such algorithms. Its dynamical behaviour is tested for the square lattice AT model. We perform simulations on the line of critical points along which the exponents vary continuously, and find that critical slowing down is significantly reduced. We find continuous variation of the dynamical exponent z along the line, following the variation of the ratio α/ν, in a manner which satisfies the Li-Sokal bound zcluster ≥ α/ν, that was so far proved only for Potts models. 75.40M, 75.10H, 05.50 Typeset using REVTEX

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

Random–Cluster Representation of the Ashkin–Teller Model

We show that a class of spin models, containing the Ashkin–Teller model, admits a generalized random–cluster (GRC) representation. Moreover we show that basic properties of the usual representation, such as FKG inequalities and comparison inequalities, still hold for this generalized random–cluster model. Some elementary consequences are given. We also consider the duality transformations in th...

متن کامل

Graphical Representations for Ising Systems in External Fields

A graphical representation based on duplication is developed that is suitable for the study of Ising systems in external fields. Two independent replicas of the Ising system in the same field are treated as a single four-state (Ashkin-Teller) model. Bonds in the graphical representation connect the Ashkin-Teller spins. For ferromagnetic systems it is proved that ordering is characterized by per...

متن کامل

A pr 1 99 7 Random – Cluster Representation of the Ashkin – Teller Model

We show that a class of spin models, containing the Ashkin–Teller model, admits a generalized random–cluster (GRC) representation. Moreover we show that basic properties of the usual representation, such as FKG inequalities and comparison inequalities, still hold for this generalized random–cluster model. Some elementary consequences are given. We also consider the duality transformations in th...

متن کامل

Dynamic critical behavior of cluster algorithms for 2 D Ashkin – Teller and Potts models ∗

We study the dynamic critical behavior of two algorithms: the Swendsen– Wang algorithm for the two-dimensional Potts model with q = 2, 3, 4 and a Swendsen–Wang–type algorithm for the two-dimensional symmetric Ashkin– Teller model on the self-dual curve. We find that the Li–Sokal bound on the autocorrelation time τint,E ≥ const × CH is almost, but not quite sharp. The ratio τint,E/CH appears to ...

متن کامل

Monte Carlo study of very weak first - order transitions in the three - dimensional Ashkin - Teller model

We propose numerical simulations of the Ashkin-Teller model as a foil for theoretical techniques for studying very weakly first-order phase transitions in three dimensions. The Ashkin-Teller model is a simple two-spin model whose parameters can be adjusted so that it has an arbitrarily weakly first-order phase transition. In this limit, there are quantities characterizing the firstorder transit...

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 1993