Monte-Carlo calculations of phase transition temperature in the Ising model with long range interactions

A. A. Biryukov ; Ya. V. Degtyarova

Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 161-170

Résumé

The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance $r$ as a power law $r^{-d-\sigma}$ with dimensional $d$ and parameter $\sigma$. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of numerical simulation the dependence of the phase transition temperature on the parameter $\sigma$ is found. It is shown that at phase transition temperature decreases with increasing $\sigma$.

Détail

Keywords: Ising model, long-range interactions, interaction radius, critical temperature, Monte-Carlo method.
Mots-clés : phase transition

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