Abstract
The influence of the magnetic field on phase transitions and thermodynamic properties of the Ising model on a triangular lattice was studied using the Wang–Landau algorithm and the replica algorithm of the Monte Carlo method. It is shown that in the model under study, depending on the magnitude of the magnetic field h, disordered, partially ordered, and completely ordered phases are observed. The nature of phase transitions was analyzed based on the histogram method of data analysis. It was found that in the range 0≤h≤6 observed second-order phase transition. It was found that for values of the magnetic field h>6 there is no degeneracy of the ground state and the phase transition is destroyed. A plateau was found depending on the magnetization on the magnetic field, equal to 1/3 of the saturation magnetization.
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