Modeling collisional cascades in debris disks: Steep dust-size distributions

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

We explore the evolution of the mass distribution of dust in collision-dominated debris disks, using the collisional code introduced in our previous paper. We analyze the equilibrium distribution and its dependence on model parameters by evolving over 100 models to 10Gyr. With our numerical models, we confirm that systems reach collisional equilibrium with a mass distribution that is steeper than the traditional solution by Dohnanyi. Our model yields a quasi-steady-state slope of n(m) m -1.88 [n(a) a -3.65] as a robust solution for a wide range of possible model parameters. We also show that a simple power-law function can be an appropriate approximation for the mass distribution of particles in certain regimes. The steeper solution has observable effects in the submillimeter and millimeter wavelength regimes of the electromagnetic spectrum. We assemble data for nine debris disks that have been observed at these wavelengths and, using a simplified absorption efficiency model, show that the predicted slope of the particle-mass distribution generates spectral energy distributions that are in agreement with the observed ones.

Original languageEnglish (US)
Article number74
JournalAstrophysical Journal
Volume754
Issue number1
DOIs
StatePublished - Jul 20 2012

Fingerprint

debris
cascades
dust
mass distribution
modeling
slopes
wavelength
absorption efficiency
electromagnetic spectra
quasi-steady states
particle mass
spectral energy distribution
wavelengths
distribution
power law
collision
collisions
approximation
energy

Keywords

  • circumstellar matter
  • infrared: stars
  • methods: numerical
  • planetary systems

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

Modeling collisional cascades in debris disks : Steep dust-size distributions. / Gáspár, András; Psaltis, Dimitrios; Rieke, George H.; Ozel, Feryal.

In: Astrophysical Journal, Vol. 754, No. 1, 74, 20.07.2012.

Research output: Contribution to journalArticle

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