N-vicinities method for 3D Ising Model

Boris Kryzhanovsky; Leonid Litinskii

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arXiv · 1606.09034

N-vicinities method for 3D Ising Model

Boris Kryzhanovsky·Leonid Litinskii

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Abstract

The n-vicinities method for approximate calculations of the partition function of a spin system was proposed previously. The equation of state was obtained in the most general form. In the present publication these results are adapted to the Ising model on the D-dimensional cubic lattice. The state equation is solved for an arbitrary dimension D and the behavior of the free energy is analyzed. For large values of D (D > 2) the obtained results are in good agreement with the ones obtained by means of computer simulations. For small values of D (D < 3), there are noticeable discrepancies with the exact results.

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BibTeX RIS

Boris Kryzhanovsky, Leonid Litinskii. 2016-06-29. N-vicinities method for 3D Ising Model. https://arxiv.org/abs/1606.09034

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