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

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also pointed out in Smith et al. (<strong>2011</strong>), our averaging <strong>of</strong> the accretion r<strong>at</strong>e over<br />

a number <strong>of</strong> timesteps serves to mimic the buffering <strong>of</strong> accreted m<strong>at</strong>erial <strong>by</strong><br />

the sub-sink disk. <strong>The</strong> inputs to our protostellar model are thus necessarily<br />

approxim<strong>at</strong>e, as is the protostellar model itself. Nevertheless, it is sufficient<br />

to provide an explor<strong>at</strong>ory picture <strong>of</strong> how ionizing feedback will affect Pop III<br />

accretion within a cosmological setup.<br />

3.3 Results<br />

3.3.1 Disk Evolution<br />

<strong>The</strong> gas in both the ‘no-feedback’ and ‘with-feedback’ cases underwent<br />

disk form<strong>at</strong>ion, fragment<strong>at</strong>ion, and the emergence <strong>of</strong> several sinks. We show<br />

the evolution <strong>of</strong> various disk properties in Figure 3.2. Because <strong>of</strong> the im-<br />

precision involved in determining which gas particles comprise the disk, for<br />

simplicity we define the disk as consisting <strong>of</strong> particles with number density<br />

gre<strong>at</strong>er than 10 9 cm −3 and with an H2 fraction gre<strong>at</strong>er than 10 −3 . This way<br />

the disk only contains cool and dense gas th<strong>at</strong> has not been subject to ion-<br />

iz<strong>at</strong>ion or significant H2 destruction. From Figure 3.3 we see th<strong>at</strong> the disk<br />

structure is growing in mass well before the first sink forms. This central gas<br />

is already rot<strong>at</strong>ionally domin<strong>at</strong>ed, as indic<strong>at</strong>ed <strong>by</strong> the low values <strong>of</strong> χrad in<br />

Figure 3.2, which is the average radial velocity <strong>of</strong> the gas particles divided <strong>by</strong><br />

their average rot<strong>at</strong>ional velocity, χrad = vrad/vrot. Velocities are measured with<br />

respect to the center <strong>of</strong> mass <strong>of</strong> the disk.<br />

3.3.1.1 No-feedback case<br />

After sink form<strong>at</strong>ion, the ‘no-feedback’ disk steadily grows in mass (Fig.<br />

3.3) as angular momentum causes it to expand in radius and become somewh<strong>at</strong><br />

70

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