Abstract
A Coulomb-like system is a system in which the usual 1/r Coulomb potential has been replaced by a potential that goes as 1/r α forα near one. Such potentials do not have the mean value property, which forms the basis of the Lebowitz-Lieb argument to control the long range Coulomb interaction [5], so whether or not such systems actually exhibit thermodynamic behavior is an interesting question. In this paper I generalize the proof of the limit for a crystal with Coulomb potential given by Charles Fefferman [1] to cover these Coulomb-like potentials.
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