  We examine axino dark matter in the regime of a low reheating temperature T_R
after inflation and taking into account that reheating is a non-instantaneous
process. This can have a significant effect on the dark matter abundance,
mainly due to entropy production in inflaton decays. We study both thermal and
non-thermal production of axinos in the context of the MSSM with ten free
parameters. We identify the ranges of the axino mass and the reheating
temperature allowed by the LHC and other particle physics data in different
models of axino interactions. We confront these limits with cosmological
constraints coming the observed dark matter density, large structures formation
and big bang nucleosynthesis. We find a number of differences in the
phenomenologically acceptable values of the axino mass and the reheating
temperature relative to previous studies. In particular, an upper bound on the
axino mass becomes dependent on T_R, reaching a maximum value at T_R~10^2 GeV.
If the lightest ordinary supersymmetric particle is a wino or a higgsino, we
obtain lower a limit of approximately 10 GeV for the reheating temperature. We
demonstrate also that entropy production during reheating affects the maximum
allowed axino mass and lowest values of the reheating temperature.

High Energy Physics - Phenomenology;Cosmology and Nongalactic Astrophysics