Copyright by Athena Ranice Stacy 2011 - The University of Texas at ...
Copyright by Athena Ranice Stacy 2011 - The University of Texas at ...
Copyright by Athena Ranice Stacy 2011 - The University of Texas at ...
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4.2.2 Chemistry, he<strong>at</strong>ing, and cooling<br />
<strong>The</strong> chemistry, he<strong>at</strong>ing, and cooling <strong>of</strong> the primordial gas is tre<strong>at</strong>ed<br />
similarly to th<strong>at</strong> in earlier studies such as Bromm and Loeb (2004), Yoshida<br />
et al. (2006), and <strong>Stacy</strong> et al. (2010). We track the abundance evolution <strong>of</strong> the<br />
following species: H, H + , H − , H2, H + 2 , He, He + , He ++ , e − , and the deuterium<br />
species D, D + , D − , HD, and HD + . In the high-density disk th<strong>at</strong> forms within<br />
the minihalo, H2 is the dominant cooling agent, and although deuterium is<br />
unimportant for the thermal and chemical evolution <strong>of</strong> the gas <strong>at</strong> the l<strong>at</strong>e<br />
stages <strong>of</strong> collapse and accretion studied here, we include it for completeness.<br />
We use the same chemical network and the same cooling and he<strong>at</strong>ing terms as<br />
used in <strong>Stacy</strong> et al. (2010). This included accounting for modified physics <strong>at</strong><br />
densities gre<strong>at</strong>er than 10 8 cm −3 : three-body processes which acceler<strong>at</strong>e the<br />
form<strong>at</strong>ion <strong>of</strong> H2 until the gas becomes fully molecular around 10 10 cm −3 ,<br />
enhanced cooling due to collisions between H2 molecules, H2 form<strong>at</strong>ion he<strong>at</strong>ing,<br />
and modified values for the adiab<strong>at</strong>ic exponent γad and the mean molecular<br />
weight µ. As described in <strong>Stacy</strong> et al. (2010), the evolution <strong>of</strong> the primordial<br />
gas up to the form<strong>at</strong>ion <strong>of</strong> the first sink particle was consistent with th<strong>at</strong> <strong>of</strong><br />
previous studies.<br />
4.2.3 Sink Particle Method<br />
We convert an SPH particle into a sink particle if it reaches a number<br />
density <strong>of</strong> nmax = 10 12 cm −3 . SPH particles th<strong>at</strong> are within a distance racc <strong>of</strong><br />
the sink are removed from the simul<strong>at</strong>ion and their mass is also added to th<strong>at</strong><br />
<strong>of</strong> the sink, provided th<strong>at</strong> they are not rot<strong>at</strong>ionally supported against infall<br />
towards the sink. We set racc equal to the resolution length <strong>of</strong> the simul<strong>at</strong>ion,<br />
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