On a cluster expansion for lattice spin systems: a finite-size condition for the convergence. (English) Zbl 1084.82523
Summary: A study is made of the statistical mechanics of classical lattice spin systems with finite-range interactions in two dimensions. By means of a decimation procedure, a finite-size condition is given for the convergence of a cluster expansion that is believed to be useful for treating the range of temperature between the critical one \(T_c\) and the estimated threshold \(T_0\) of convergence of the usual high-temperature expansion.
MSC:
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 82B05 | Classical equilibrium statistical mechanics (general) |
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