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Copyright by Athena Ranice Stacy 2011 - The University of Texas at ...

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stars.<br />

We also note th<strong>at</strong>, despite their very similar numerical setups, the disk<br />

evolution and accretion r<strong>at</strong>e <strong>of</strong> our ‘no-feedback’ case differs somewh<strong>at</strong> from<br />

th<strong>at</strong> described in <strong>Stacy</strong> et al. (2010). Several distinctions between the sim-<br />

ul<strong>at</strong>ions, however, explain this. <strong>The</strong> high-density cooling and chemistry is<br />

upd<strong>at</strong>ed from th<strong>at</strong> used in <strong>Stacy</strong> et al. 2010 (see Chapter 3.2.2). We also<br />

use an adaptive s<strong>of</strong>tening length instead <strong>of</strong> a single s<strong>of</strong>tening length for all<br />

gas particles as in <strong>Stacy</strong> et al. (2010), and our criteria for sink accretion are<br />

slightly more stringent. <strong>The</strong> main contribution to the difference, however, is<br />

likely the stochastic n<strong>at</strong>ure <strong>of</strong> the sink particle dynamics. While no sink was<br />

ejected in <strong>Stacy</strong> et al. (2010), the sink ejection and subsequent rapid velocity<br />

<strong>of</strong> the main sink in our ‘no-feedback’ case altered the disk structure, and the<br />

main sink would likely have grown to a higher mass otherwise. Nevertheless,<br />

the final sink masses in both simul<strong>at</strong>ions were still the same to within a factor<br />

<strong>of</strong> two.<br />

<strong>The</strong> radi<strong>at</strong>ive feedback seen here is much stronger than the analytical<br />

prediction <strong>of</strong> McKee and Tan (2008). <strong>The</strong>y found th<strong>at</strong> a Pop III star could<br />

grow to over 100 M⊙ through disk accretion, as disk shadowing allowed mass<br />

to flow onto the star even while the polar regions became ionized. Our lack<br />

<strong>of</strong> resolution prevents this disk shadowing to be modeled properly on sub-<br />

sink scales, and the ionizing photon emission eman<strong>at</strong>ing from the sink edge<br />

is likely overestim<strong>at</strong>ed. McKee and Tan (2008) furthermore assumed disk<br />

axisymmetry, which does not describe the disk in either <strong>of</strong> our test cases.<br />

At various points in the ‘with-feedback’ simul<strong>at</strong>ion, the lack <strong>of</strong> axisymmetry<br />

allowed the sink to ionize the more diffuse parts <strong>of</strong> the disk, which would not<br />

have occured in the McKee and Tan (2008) model. Nevertheless, shielding does<br />

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