Phase transitions in an ordered 2D array of cubic nanoparticles

The study of phase transitions in an ordered cubic nanoparticles 2D array was carried out by computer modeling. The study was performed for the Ising model. The Wolf cluster algorithm is used to simulate the phase transition in the system. The interaction between the nanoparticles is exchange. The interaction between spins for different particles is less in one particle. Cases of different energy values for the interaction between particles are considered. The particles are single-domain. The ferromagnetic phase transition is investigated. The total magnetization in the system is used as an order parameter. The phase transition temperature is calculated based on finite dimensional scaling theory using Binder cummulants. A computer experiment was performed. The phase transition temperature dependence on energy of interaction between particles is obtained. The temperature changes according to the logarithmic law. The parameters for the Curie temperature change law from the interaction energy of nanoparticles are calculated. Critical exponents of the system were calculated. The critical exponents are independent from the interaction energy between the particles. The critical exponent for magnetic susceptibility is equal gamma = 2.21 +/- 0.09. This value is different from the critical exponents for a solid film.