Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revised scattering exponents for a power-law distribution of surface and
  mass fractals   We consider scattering exponents arising in small-angle scattering from
power-law polydisperse surface and mass fractals. It is shown that a set of
fractals, whose sizes are distributed according to a power-law, can change its
fractal dimension when the power-law exponent is sufficiently big. As a result,
the scattering exponent corresponding to this dimension appears due to the
spatial correlations between positions of different fractals. For large values
of the momentum transfer, the correlations do not play any role, and the
resulting scattering intensity is given by a sum of intensities of all
composing fractals. The restrictions imposed on the power-law exponents are
found. The obtained results generalize Martin's formulas for the scattering
exponents of the polydisperse fractals.

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The categories of this paper are: stat
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an