Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of the interaction range on the thermostatistics of a
  classical many-body system   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.

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The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci