Analysis of the Blume-Capel Model with the Wang-Landau Algorithm
We use the Wang-Landau algorithm to investigate the thermodynamic properties of the two-dimensional ferromagnetic Blume-Capel (BC) Model on a square lattice near the tricritical point. In this region, the energy levels of the BC Hamiltonian have a much greater density than for the Ising model. Together with the necessity of distinguishing first and second order transitions, the BC Hamiltonian thus poses a challenging test of the effectiveness of the Wang-Landau method.
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