Dust Emission from IRC+10216

Infrared emission from the dust shell around IRC+10216 is analysed in detail, employing a self-consistent model for radiatively driven winds around late-type stars that couples the equations of motion and radiative transfer in the dust. The resulting model provides agreement with the wealth of available data, including the spectral energy distribution in the range 0.5--1000 \mic, and visibility and array observations. Previous conclusions about two dust shells, derived from modelling the data with a few single-temperature components of different radii, are not supported by our results. The extended, continuous temperature and density distributions derived from our model obviate the need for such discrete shells. The IR properties vary with the stellar phase, reflecting changes in both the dust condensation radius $r_1$ and the overall optical depth $\tau$ -- as the luminosity increases from minimum to maximum, $r_1$ increases while $\tau$ decreases. We find that the angular size of the dust condensation zone varies from 0.3 arcsec at minimum light to 0.5 arcsec at maximum. The shortage of flux at short wavelengths encountered in previous studies is resolved by employing a grain size distribution that includes grains larger than \about\ 0.1 \mic, required also for the visibility fits. This distribution is in agreement with the one recently proposed by Jura in a study that probed the outer regions of the envelope. Since our constraints on the size distribution mostly reflect the envelope's inner regions, the agreement of these independent studies is evidence against significant changes in grain sizes through effects like sputtering or grain growth after the initial formation at the dust condensation zone.Comment: LaTeX with 3 figures, requires MNRAS mn.sty; figures and/or complete PS or PS.Z preprint (7 pages) available by anonymous ftp at ftp://asta.pa.uky.edu/ivezic/irc10216/irc10216.ps (or fig1.ps, fig2.ps, fig3.ps

Self-similarity and scaling behavior of IR emission from radiatively heated dust: I. Theory

Dust infrared emission possesses scaling properties. Overall luminosity is never an input parameter of the radiative transfer problem, spectral shape is the only relevant property of the heating radiation when the inner boundary of the dusty region is controlled by dust sublimation. Similarly, the absolute scales of densities and distances are irrelevant; the geometry enters only through angles, relative thicknesses and aspect ratios, and the actual magnitudes of densities and distances enter only through one independent parameter, the overall optical depth. Dust properties enter only through dimensionless, normalized distributions that describe the spatial variation of density and the wavelength dependence of scattering and absorption efficiencies. Scaling enables a systematic approach to modeling and classification of IR spectra. We develop a new, fully scale-free method for solving radiative transfer, present exact numerical results, and derive approximate analytical solutions for spherical geometry, covering the entire range of parameter space relevant to observations. Scaling implies tight correlations among the SEDs of various members of the same class of sources such as young stellar objects, late-type stars, etc. In particular, all members of the same class occupy common, well defined regions in color-color diagrams. The observational data corroborate the existence of these correlations.Comment: 14 pages, 10 Postscript figures (included), uses mn.sty. To appear in Monthly Notices of the Royal Astronomical Societ

Infrared Imaging of Late-Type Stars

Infrared imaging properties of dusty winds around late-type stars are investigated in detail, employing a self-consistent model that couples the equations of motion and radiative transfer. Because of general scaling properties, the angular profiles of surface brightness are self-similar. In any given star, the profile shape is determined essentially by overall optical depth at each wavelength and it is self-similarly scaled by the size of the dust condensation zone. We find that the mid-IR is the best wavelength range to measure directly the angular size of this zone, and from {\it IRAS} data we identify the 15 best candidates for such future observations. We also show that the visibility function at short wavelengths (\la 2 \mic) directly determines the scattering optical depth, and produce theoretical visibility curves for various characteristic wavelengths and the entire parameter range relevant to late-type stars. The infrared emission should display time variability because of cyclical changes in overall optical depth, reflecting luminosity-induced movement of the dust condensation point. Calculations of the wavelength dependence of photometric amplitudes and time variability of envelope sizes are in agreement with observations; envelopes are bigger and bluer at maximum light.Comment: LaTeX with 2 figures, requires MNRAS mn.sty; figures and/or complete PS or PS.Z preprint (8 pages) available by anonymous ftp at ftp://asta.pa.uky.edu/ivezic/imaging/imaging.ps (or fig1.ps, fig2.ps