Abstract
Dust particles in orbit around a star drift toward the central star by the Poynting-Robertson effect and pile up by sublimation. We analytically derive the pile-up magnitude, adopting a simple model for optical cross sections. As a result, we find that the sublimation temperature of drifting dust particles plays the most important role in the pile-up rather than their optical property does. Dust particles with high sublimation temperature form a significant dust ring, which could be found in the vicinity of the sun through in-situ spacecraft measurements. While the existence of such a ring in a debris disk could not be identified in the spectral energy distribution (SED), the size of a dust-free zone shapes the SED. Since we analytically obtain the location and temperature of sublimation, these analytical formulae are useful to find such sublimation evidences.
Highlights
Refractory dust grains in orbit around a star spiral into the star by the Poynting-Robertson drag and sublime in the immediate vicinity of the star
We find that the sublimation temperature of drifting dust particles plays the most important role in the pile-up rather than their optical property does
Since the number density of dust particles decreases inside the sublimation zone, only a bump in the radial profile of the number density appears around asub
Summary
Refractory dust grains in orbit around a star spiral into the star by the Poynting-Robertson drag (hereafter P-R drag) and sublime in the immediate vicinity of the star. Because the particles lose their mass during sublimation, the ratio β of radiation pressure to gravity of the star acting on each particle ordinarily increases As a result, their radial-drift rates decrease and the particles pile up at the outer edge of their sublimation zone (e.g., Mukai and Yamamoto, 1979; Burns et al, 1979). H. KOBAYASHI et al.: SUBLIMATION TEMPERATURE AND RING FORMATION OF CIRCUMSTELLAR DUST PARTICLES 1069 expelled by the radiation pressure if β > 1/2. We discuss the application limit of our formulae in Appendix A
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