The spin-S Blume-Capel RG flow diagram

Scaling and universality in the phase diagram of the 2D Blume-Capel model

We review the pertinent features of the phase diagram of the zero-field Blume-Capel model, focusing on the aspects of transition order, finite-size scaling and universality. In particular, we employ a range of Monte Carlo simulation methods to study the 2D spin-1 BlumeCapel model on the square lattice to investigate the behavior in the vicinity of the first-order and second-order regimes of the...

Wetting in Potts and Blume-Capel Models

Wetting may occur when three or more phases (A, B, C,...) coexist. It consists of the appearance of a thick (macroscopic) layer of the C phase at an interface between the A and the B phases. This phenomenon has been observed experimentally and in computer simulation (for a review, see Ref. 1). It has also been investigated by mean field theory ~2 4) and by lowtemperature expansions. (s'6) In th...

The Critical Behaviour of the Spin-3/2 Blume-capel Model in Two Dimensions

The phase diagram of the spin-3/2 Blume-Capel model in two dimensions is explored by conventional finite-size scaling, conformal invariance and Monte Carlo simulations. The model in its τ -continuum Hamiltonian version is also considered and compared with others spin3/2 quantum chains. Our results indicate that differently from the standard spin-1 Blume-Capel model there is no multicritical poi...

Dynamical Blume { Capel Model : Competing Metastable States

Critical Behavior of the Spin-3/2 Blume-Capel Model on a Random Two-Dimensional Lattice

We investigate the critical properties of the spin-3/2 Blume-Capel model in two dimensions on a random lattice with quenched connectivity disorder. The disordered system is simulated by applying the cluster hybrid Monte Carlo update algorithm and re-weighting techniques. We calculate the critical temperature as well as the critical point exponents γ/ν, β/ν, α/ν, and ν. We find that, contrary of...