Efficient ortho-para conversion of H2 on interstellar grain surfaces
  Context: Fast surface conversion between ortho- and para-H2 has been observed
in laboratory studies, and this mechanism has been proposed to play a role in
the control of the ortho-para ratio in the interstellar medium. Observations of
rotational lines of H2 in Photo-Dissociation Regions (PDRs) have indeed found
significantly lower ortho-para ratios than expected at equilibrium. The
mechanisms controlling the balance of the ortho-para ratio in the interstellar
medium thus remain incompletely understood, while this ratio can affect the
thermodynamical properties of the gas (equation of state, cooling function).
Aims: We aim to build an accurate model of ortho-para conversion on dust
surfaces based on the most recent experimental and theoretical results, and to
validate it by comparison to observations of H2 rotational lines in PDRs.
Methods: We propose a statistical model of ortho-para conversion on dust grains
with fluctuating dust temperatures, based on a master equation approach. This
computation is then coupled to full PDR models and compared to PDR
observations. Results: We show that the observations of rotational H2 lines
indicate a high conversion efficiency on dust grains, and that this high
efficiency can be accounted for if taking dust temperature fluctuations into
account with our statistical model of surface conversion. Simpler models
neglecting the dust temperature fluctuations do not reach the high efficiency
deduced from the observations. Moreover, this high efficiency induced by dust
temperature fluctuations is quite insensitive to the values of microphysical
parameters of the model. Conclusions: Ortho-para conversion on grains is thus
an efficient mechanism in most astrophysical conditions that can play a
significant role in controlling the ortho-para ratio.
