Comment on "A Kac-potential treatment of nonintegrable interactions" by Vollmayr-Lee and Luijten

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We comment the recent manuscript by Vollmayr-Lee and Luijten [cond-mat/0009031] focusing on classical systems with nonintegrable interactions. The authors claim that they have proved that Boltzmann-Gibbs statistics suffices for describing the system in thermal equilibrium. We show that this statement is a misleading oversimplification since it only applies for the ₙ → ∞ ₜ → ∞ ordering, but certainly not for the ₜ → ∞ ₙ → ∞ one. The latter can even be the unique physically meaningful situation for thermodynamically large systems.