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Classical spin lattice systems with vacuum

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Abstract

We present cluster properties for the lattice spin systems with general n-body interaction and we apply it to find the asymptotic expansion of the logarithm of the partition function in powers of the volume as well as a local limit theorem for the particle number.

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Arzumanian, V., Nahapetian, B. & Pogosian, S. Classical spin lattice systems with vacuum. Acta Appl Math 22, 33–53 (1991). https://doi.org/10.1007/BF00047650

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