caa a22 4500 445863285 CHVBK 20180317145450.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10569-011-9345-3 doi (NATIONALLICENCE)springer-10.1007/s10569-011-9345-3 Debris disk size distributions: steady state collisional evolution with Poynting-Robertson drag and other loss processes [Elektronische Daten] [M. Wyatt, C. Clarke, M. Booth] We present a new scheme for determining the shape of the size distribution, and its evolution, for collisional cascades of planetesimals undergoing destructive collisions and loss processes like Poynting-Robertson drag. The scheme treats the steady state portion of the cascade by equating mass loss and gain in each size bin; the smallest particles are expected to reach steady state on their collision timescale, while larger particles retain their primordial distribution. For collision-dominated disks, steady state means that mass loss rates in logarithmic size bins are independent of size. This prescription reproduces the expected two phase size distribution, with ripples above the blow-out size, and above the transition to gravity-dominated planetesimal strength. The scheme also reproduces the expected evolution of disk mass, and of dust mass, but is computationally much faster than evolving distributions forward in time. For low-mass disks, P-R drag causes a turnover at small sizes to a size distribution that is set by the redistribution function (the mass distribution of fragments produced in collisions). Thus information about the redistribution function may be recovered by measuring the size distribution of particles undergoing loss by P-R drag, such as that traced by particles accreted onto Earth. Although cross-sectional area drops with age $${\propto t^{-2}}$$ in the PR-dominated regime, dust mass falls $${\propto t^{-2.8}}$$ , underlining the importance of understanding which particle sizes contribute to an observation when considering how disk detectability evolves. Other loss processes are readily incorporated; we also discuss generalised power law loss rates, dynamical depletion, realistic radiation forces and stellar wind drag. Springer Science+Business Media B.V., 2011 Circumstellar matter nationallicence Planetary systems nationallicence Debris disks nationallicence Collisional cascade nationallicence Mass loss rate nationallicence Size distribution modeling nationallicence Wyatt M. Institute of Astronomy, University of Cambridge, Madingley Road, CB3 0HA, Cambridge, UK aut Clarke C. Institute of Astronomy, University of Cambridge, Madingley Road, CB3 0HA, Cambridge, UK aut Booth M. Institute of Astronomy, University of Cambridge, Madingley Road, CB3 0HA, Cambridge, UK aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 111/1-2(2011-10-01), 1-28 0923-2958 111:1-2<1 2011 111 10569 https://doi.org/10.1007/s10569-011-9345-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9345-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wyatt M. Institute of Astronomy, University of Cambridge, Madingley Road, CB3 0HA, Cambridge, UK aut NATIONALLICENCE 700 1- Clarke C. Institute of Astronomy, University of Cambridge, Madingley Road, CB3 0HA, Cambridge, UK aut NATIONALLICENCE 700 1- Booth M. Institute of Astronomy, University of Cambridge, Madingley Road, CB3 0HA, Cambridge, UK aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 111/1-2(2011-10-01), 1-28 0923-2958 111:1-2<1 2011 111 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer