Ising Model with Improved Scaling Behaviour
نویسنده
چکیده
We present results from the simulation of a two-coupling spin-1 model with states 0,±1 and nearest neighbour interaction. By a suitable choice of couplings we are able to drastically reduce the effects of corrections to scaling. Our estimates for the critical exponents are ν = 0.6299(3) and η = 0.0359(10). For the universal ratio Q = 〈m〉/〈m〉 we obtain Q = 0.6240(2). The universal ratio of partition functions with antiperiodic/periodic boundary conditions, respectively, is Za/Zp = 0.5425(2).
منابع مشابه
A New Approach to Dynamic Finite-size Scaling
In this work we have considered the Taylor series expansion of the dynamic scaling relation of the magnetization with respect to small initial magnetization values in order to study the dynamic scaling behaviour of 2and 3-dimensional Ising models. We have used the literature values of the critical exponents and of the new dynamic exponent x0 to observe the dynamic finite-size scaling behaviour ...
متن کاملThe 3 d Ising model represented as random surfaces
We consider a random surface representation of the three-dimensional Ising model.The model exhibit scaling behaviour and a new critical index κ which relates γ string for the bosonic string to the exponent α of the specific heat of the 3d Ising model is introduced. We try to determine κ by numerical simulations.
متن کاملThe Site-Diluted Ising Model in Four Dimensions
In the literature, there are five distinct, fragmented sets of analytic predictions for the scaling behaviour at the phase transition in the random-site Ising model in four dimensions. Here, the scaling relations for logarithmic corrections are used to complete the scaling pictures for each set. A numerical approach is then used to confirm the leading scaling picture coming from these predictio...
متن کاملMonte Carlo studies of critical behaviour of systems with long - range correlated disoder
Monte Carlo simulations of the short-time dynamic behaviour are reported for three-dimensional Ising model and XY-model with long-range spatially correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical exponents are computed with the use of the corrections to scaling. The obtained values of the exponents are in a good agreement with resul...
متن کاملScaling behaviour of the correlation length for the two-point correlation function in the random field Ising chain
We study the general behaviour of the correlation length ξ(kT , h) for the two-point correlation function of the local fields in an Ising chain with binary distributed fields. At zero field it is shown that ξ is the same as the zero-field correlation length for the spin–spin correlation function. For the field-dominated behaviour of ξ we find an exponent for the powerlaw divergence which is sma...
متن کامل