The Ising model with long-range interactions

Abstract

The phase transition in the two-dimensional and three-dimensional Ising models with long-range spin interactions are studied with the Monte-Carlo method. The interaction region between spins is characterized by the radius $R$. Results based on numerical simulations have shown the critical temperature $T_c$ dependence from the spin interaction radius $R$. Analytical function $T_c (R)$ approximating this dependence is designed.

Keywords

• ising model
• phase transition
• critical temperature
• parallel calculations
• monte-carlo method