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

Constantino Tsallis, Andrea Rapisarda, Alessandro Pluchino and Ernesto P. Borges

Physica A: Statistical Mechanics and its Applications, 2007, vol. 381, issue C, 143-147

Abstract: 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 Γ-space of microscopic configurations, and comment a paper recently published by Baldovin and Orlandini [Phys. Rev. Lett. 96 (2006) 240602]. 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.

Keywords: Metastability in Hamiltonian dynamics; Long-range interactions; Non-extensive statistical mechanics (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:381:y:2007:i:c:p:143-147

DOI: 10.1016/j.physa.2007.04.030

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