Influence of the interaction range on the thermostatistics of a classical many-body system

Leonardo J.L. Cirto, Vladimir R.V. Assis and Constantino Tsallis

Physica A: Statistical Mechanics and its Applications, 2014, vol. 393, issue C, 286-296

Abstract: We numerically study a one-dimensional system of N classical localized planar rotators coupled through interactions which decay with distance as 1/rα (α≥0). The approach is a first principle one (i.e., based on Newton’s law), and yields the probability distribution of momenta. For α large enough and N≫1 we observe, for longstanding states, the Maxwellian distribution, landmark of Boltzmann–Gibbs thermostatistics. But, for α small or comparable to unity, we observe instead robust fat-tailed distributions that are quite well fitted with q-Gaussians. These distributions extremize, under appropriate simple constraints, the nonadditive entropy Sq upon which nonextensive statistical mechanics is based. The whole scenario appears to be consistent with nonergodicity and with the thesis of the q-generalized Central Limit Theorem.

Keywords: Metastable state; Long-range interaction; Ergodicity breaking; Nonextensive statistical mechanics (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:393:y:2014:i:c:p:286-296

DOI: 10.1016/j.physa.2013.09.002

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