Geodesic
Monte-Carlo calculations of phase transition temperature in the Ising model with long range interactions
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 161-170

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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 $\sigma$.
Keywords: Ising model, long-range interactions, interaction radius, critical temperature, Monte-Carlo method.
Mots-clés : phase transition 
@article{VSGU_2015_6_a21,
     author = {A. A. Biryukov and Ya. V. Degtyarova},
     title = {Monte-Carlo calculations of phase transition temperature in the {Ising} model with long range interactions},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {161--170},
     publisher = {mathdoc},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2015_6_a21/}
}
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A. A. Biryukov; Ya. V. Degtyarova. Monte-Carlo calculations of phase transition temperature in the Ising model with long range interactions. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 161-170. http://geodesic.mathdoc.fr/item/VSGU_2015_6_a21/