The Ising Model with Long-Range Interactions

A. A. Biryukov ; Ya. V. Degtyareva

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 19 (2015) no. 3, pp. 415-424.

Résumé

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.

Détail

Keywords: Ising model, critical temperature, Monte–Carlo method, parallel calculations.
Mots-clés : phase transition

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