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Decay of correlations in classical fluids with long-range forces
Authors:A. Alastuey  Ph. A. Martin
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
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 potentialphgr(x)simb¦x¦s, ¦x¦ rarr infin, 0v,sne} 2), the decay is bounded below by an inverse power.Partially supported by the Swiss National Foundation for Scientific Research.
Keywords:Long-range forces  Coulomb systems  BGY hierarchy  correlations
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