A derivation of the cell cluster theory for harmonic solids

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Abstract
The cell cluster algorithm for the calculation of the free energy of harmonic solids is obtained as a resummation of the central moment expansion of the free energy. The nth term in the central moment expansion corresponds to n‐step closed walks on the lattice, whereas the nth correction term in the cell cluster expansion corresponds to closed walks of any number of steps which visit n lattice sites.

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