  Spitzer IRAC observations of 15 metal-polluted white dwarfs reveal infrared
excesses in the spectral energy distributions of HE 0110-5630, GD 61, and HE
1349-2305. All three of these stars have helium-dominated atmospheres, and
their infrared emissions are consistent with warm dust produced by the tidal
destruction of (minor) planetary bodies. This study brings the number of
metal-polluted, helium and hydrogen atmosphere white dwarfs surveyed with IRAC
to 53 and 38 respectively. It also nearly doubles the number of metal-polluted
helium-rich white dwarfs found to have closely orbiting dust by Spitzer. From
the increased statistics for both atmospheric types with circumstellar dust, we
derive a typical disk lifetime of log[t_{disk} (yr)] = 5.6+-1.1 (ranging from
3*10^4 - 5*10^6 yr). This assumes a relatively constant rate of accretion over
the timescale where dust persists, which is uncertain. We find that the
fraction of highly metal-polluted helium-rich white dwarfs that have an
infrared excess detected by Spitzer is only 23 per cent, compared to 48 per
cent for metal-polluted hydrogen-rich white dwarfs, and we conclude from this
difference that the typical lifetime of dusty disks is somewhat shorter than
the diffusion time scales of helium-rich white dwarf. We also find evidence for
higher time-averaged accretion rates onto helium-rich stars compared to the
instantaneous accretion rates onto hydrogen-rich stars; this is an indication
that our picture of evolved star-planetary system interactions is incomplete.
We discuss some speculative scenarios that can explain the observations.
