Spin-3/2 Ising Model and Ashkin-Teller Model
نویسندگان
چکیده
منابع مشابه
1 A p - Spin Interaction Ashkin - Teller Spin - Glass Model
A p-spin interaction Ashkin-Teller spin glass, with three independent Gaussian probability distributions for the exchange interactions, is studied by means of the replica method. A simple phase diagram is obtained within the replica-symmetric approximation , presenting an instability of the paramagnetic solution at low temperatures. The replica-symmetry-breaking procedure is implemented and a r...
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shows nonuniversal critical behavior in two dimensions in the neighborhood of K4 =0. To see if this behavior persists for N & 2 we perform a first-order-perturbation expansion around the decoupling point in two dimensions. As an aid in interpreting the results of this perturbation expansion we have determined the phase diagram of the system through mean-field theory and Monte Carlo studies in 1...
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We report on the numerical measures on different spin interfaces and Fortuin-Kasteleyn (FK) cluster boundaries in the Askhin-Teller (AT) model. For a general point on the AT critical line, we find that the fractal dimension of a generic spin cluster interface can take one of four different possible values. In particular we found spin interfaces whose fractal dimension is d(f)=3/2 all along the ...
متن کاملA Cluster Method for the Ashkin–Teller Model
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 v...
متن کاملRandom–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...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1995
ISSN: 0033-068X
DOI: 10.1143/ptp.93.981