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• W1997568593 abstract "We numerically study a one-dimensional system of $N$ classical localized planar rotators coupled through interactions which decay with distance as $1/r^alpha$ ($alpha ge 0$). The approach is a first principle one (textit{i.e.}, based on Newton's law), and yields the probability distribution of momenta. For $alpha$ large enough and $Ngg1$ we observe, for longstanding states, the Maxwellian distribution, landmark of Boltzmann-Gibbs thermostatistics. But, for $alpha$ 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 $S_q$ 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." @default.
• W1997568593 created "2016-06-24" @default.
• W1997568593 creator A5003972351 @default.
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• W1997568593 date "2014-01-01" @default.
• W1997568593 modified "2023-10-10" @default.
• W1997568593 title "Influence of the interaction range on the thermostatistics of a classical many-body system" @default.
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• W1997568593 doi "https://doi.org/10.1016/j.physa.2013.09.002" @default.
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