Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Luminosity Functions of Gamma-Ray Burst Afterglows   Aims: Use the standard fireball model to create virtual populations of
gamma-ray burst afterglows and study their luminosity functions.
  Methods: We randomly vary the parameters of the standard fireball model to
create virtual populations of afterglows. We use the luminosity of each burst
at an observer's time of 1 day to create a luminosity function and compare our
results with available observational data to assess the internal consistency of
the standard fireball model.
  Results: We show that the luminosity functions can be described by a function
similar to a log normal distribution with an exponential cutoff. The function
parameters are frequency dependent but not very dependent on the model
parameter distributions used to create the virtual populations. Comparison with
observations shows that while there is good general agreement with the data, it
is difficult to explain simultaneously the X-ray and optical data. Possible
reasons for this are discussed and the most likely one is that the standard
fireball model is incomplete and that decoupling of the X-ray and optical
emission mechanism may be needed.

24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat