Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization group approach to nonextensive statistical mechanics   We analyze a simple classical Hamiltonian system within the hypothesis of
renormalizability and isotropy that essentially led Maxwell to his ubiquitous
Gaussian distribution of velocities. We show that the equilibrium-like
power-law energy distribution emerging within nonextensive statistical
mechanics satisfies these hypothesis, in spite of not being factorizable. A
physically satisfactory renormalization group emerges in the $(q, T_q)$ space,
where q and $T_q$ respectively are the entropic index characterizing
nonextensivity, and an appropriate temperature. This scenario enables the
conjectural formulation of the one to be expected for d-dimensional systems
involving long-range interactions (e.g., a classical two-body potential
$\propto r^{-\alpha}$ with $0 \le \alpha/d \le 1$). As a corollary, we recover
a quite general expression for the classical principle of equipartition of
energy for arbitrary q.

5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: hep-ex