Decay of correlations in classical fluids with long-range forces |
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Authors: | A. Alastuey Ph. A. Martin |
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Affiliation: | (1) Laboratoire de Physique Théorique et Hautes Energies, Université de Paris-Sud, F-91405 Orsay, France;(2) Institut de Physique Théorique, École Polytechnique, Fédérale de Lausanne, PHB-Ecublens, CH-1015 Lausanne, Switzerland |
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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 potential(x)b¦x¦–s, ¦x¦ , 0v,s} 2), the decay is bounded below by an inverse power.Partially supported by the Swiss National Foundation for Scientific Research. |
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Keywords: | Long-range forces Coulomb systems BGY hierarchy correlations |
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