Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalizing the Planck distribution   Along the lines of nonextensive statistical mechanics, based on the entropy
$S_q = k(1- \sum_i p_i^q)/(q-1) (S_1=-k \sum_i p_i \ln p_i)$, and Beck-Cohen
superstatistics, we heuristically generalize Planck's statistical law for the
black-body radiation. The procedure is based on the discussion of the
differential equation $dy/dx=-a_{1}y-(a_{q}-a_{1}) y^{q}$ (with $y(0)=1$),
whose $q=2$ particular case leads to the celebrated law, as originally shown by
Planck himself in his October 1900 paper. Although the present generalization
is mathematically simple and elegant, we have unfortunately no physical
application of it at the present moment. It opens nevertheless the door to a
type of approach that might be of some interest in more complex, possibly
out-of-equilibrium, phenomena.

19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas