Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7382418 | Physica A: Statistical Mechanics and its Applications | 2014 | 11 Pages |
Abstract
We numerically study a one-dimensional system of N classical localized planar rotators coupled through interactions which decay with distance as 1/rα (αâ¥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 Nâ«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
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Leonardo J.L. Cirto, Vladimir R.V. Assis, Constantino Tsallis,