Influence of the interaction range on the thermostatistics of a classical many-body system
| Autor: | Cirto, Leonardo J. L., Assis, Vladimir R. V., Tsallis, Constantino |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Physica A: Statistical Mechanics and its Applications, Volume 393, 1 January 2014, Pages 286--296 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physa.2013.09.002 |
| Popis: | 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 $N\gg1$ 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. Comment: 15 pages, 13 figures |
| Databáze: | arXiv |
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