Classical spin lattice systems with vacuum |
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| Authors: | V. Arzumanian B. Nahapetian S. Pogosian |
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| Affiliation: | (1) Armenian Academy of Sciences, Institute of Mathematics, Marshal Bagramian av. 24-b, 375019 Yerevan, Republic of Armenia |
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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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| Keywords: | 60K35 82A68 82A31 |
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