On Rapid Disk Accretion and Initial Conditions in Protostellar Evolution
  Low-mass protostars may accrete most of their material through short-lived episodes of rapid disk accretion; yet until recently evolutionary tracks for these protostars assumed only constant or slowly-varying accretion. Important initial steps toward examining the potential effects of rapid accretion were recently made by Baraffe, Chabrier, & Gallardo, who showed that in the limit of low-temperature ("cold") accretion, protostars may have much smaller radii than found in previous treatments. Such small radii at the end of protostellar accretion would have the effect of making some young stars appear much older - perhaps as much as 10 Myr - than they really are. However, we argue that very rapid disk accretion is unlikely to be cold, because observations of the best-studied pre-main sequence disks with rapid disk accretion outbursts - the FU Ori objects - have spectral energy distributions which imply large, not small, protostellar radii. In addition, theory indicates models that at high accretion rates, protostellar disks become internally hot and geometrically thick, making it much more likely that hot material is added to the star. In addition, the very large luminosity of the accretion disk is likely to irradiate the central star strongly, heating up the outer layers and potentially expanding them. Nevertheless, the Baraffe et al. calculations emphasize the importance of initial protostellar radii for subsequent evolution. 
Lee Hartmann, Zhaohuan Zhu, Nuria Calvet
astro-ph.SR