On the non-Boltzmannian nature of quasi-stationary states in long-range interacting systems

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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8 pages, 4 figures. New version accepted for publication in Physica A

Scientific paper

10.1016/j.physa.2007.04.030

We discuss the non-Boltzmannian nature of quasi-stationary states in the Hamiltonian Mean Field (HMF) model, a paradigmatic model for long-range interacting classical many-body systems. We present a theorem excluding the Boltzmann-Gibbs exponential weight in Gibbs $\Gamma$-space of microscopic configurations, and comment a paper recently published by Baldovin and Orlandini (2006). On the basis of the points here discussed, the ongoing debate on the possible application, within appropriate limits, of the generalized $q$-statistics to long-range Hamiltonian systems remains open.

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