“…However, it has been demonstrated that in a standard viscously driven accretion disk, unless the ratio of magnetic diffusivity to viscosity (the inverse magnetic Prandtl number) in the disk is very small (comparable to H/R), such inward advection of field does not take place (Lubow, Papaloizou, & Pringle 1994a;Reyes-Ruiz & Stepinski 1996;Heyvaerts, Priest, & Bardou 1996). It is important to note, however, that in a disk in which the angular momentum transport is mainly due to the effects of self-sustaining hydromagnetic turbulence (Balbus & Hawley 1991;Hawley, Gammie, & Balbus 1995, 1996Stone, Hawley, Gammie & Balbus 1996;Brandenburg, Nordlund, Stein, & Torkelsson 1995), the magnetic Prandtl number is likely to be of order unity (Parker 1971;Pouquet, Frisch & Léorat 1976;Zel'dovich, Ruzmaikin, & Sokoloff 1983;Canuto & Battaglia 1988). Thus, if the disk surrounding the black hole is at any radius a standard accretion disk in which the dominant mode of angular momentum loss is by viscous transport within the disk, poloidal magnetic flux cannot be simply advected inwards from infinity.…”