Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Luminosity-duration relations and luminosity functions of repeating and
  non-repeating fast radio bursts   Fast radio bursts (FRBs) are mysterious radio bursts with a time scale of
approximately milliseconds. Two populations of FRB, namely repeating and
non-repeating FRBs, are observationally identified. However, the differences
between these two and their origins are still cloaked in mystery. Here we show
the time-integrated luminosity-duration ($L_{\nu}$-$w_{\rm int,rest}$)
relations and luminosity functions (LFs) of repeating and non-repeating FRBs in
the FRB Catalogue project. These two populations are obviously separated in the
$L_{\nu}$-$w_{\rm int,rest}$ plane with distinct LFs, i.e., repeating FRBs have
relatively fainter $L_{\nu}$ and longer $w_{\rm int,rest}$ with a much lower
LF. In contrast with non-repeating FRBs, repeating FRBs do not show any clear
correlation between $L_{\nu}$ and $w_{\rm int,rest}$. These results suggest
essentially different physical origins of the two. The faint ends of the LFs of
repeating and non-repeating FRBs are higher than volumetric occurrence rates of
neutron-star mergers and accretion-induced collapse (AIC) of white dwarfs, and
are consistent with those of soft gamma-ray repeaters (SGRs), type Ia
supernovae, magnetars, and white-dwarf mergers. This indicates two
possibilities: either (i) faint non-repeating FRBs originate in neutron-star
mergers or AIC and are actually repeating during the lifetime of the
progenitor, or (ii) faint non-repeating FRBs originate in any of SGRs, type Ia
supernovae, magnetars, and white-dwarf mergers. The bright ends of LFs of
repeating and non-repeating FRBs are lower than any candidates of progenitors,
suggesting that bright FRBs are produced from a very small fraction of the
progenitors regardless of the repetition. Otherwise, they might originate in
unknown progenitors.

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The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: math
26
The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: q-alg