Abstract
We show with simple arguments that, as a consequence of the Poisson equation, the correlations of a charged system at equilibrium decay faster than any inverse power, if they are integrable and monotonous at infinity. For all other longrange systems (with potentialφ(x)∼b¦x¦−s, ¦x¦ → ∞, 0<s<v,s≠} 2), the decay is bounded below by an inverse power.
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Partially supported by the Swiss National Foundation for Scientific Research.
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Alastuey, A., Martin, P.A. Decay of correlations in classical fluids with long-range forces. J Stat Phys 39, 405–426 (1985). https://doi.org/10.1007/BF01018670
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DOI: https://doi.org/10.1007/BF01018670