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P. Padoan

Publications and source records attributed to P. Padoan.

17 recordsLinked to original sources

Evaporation Ages: a New Dating Method for Young Star Clusters

The ages of young star clusters are fundamental clocks to constrain the formation and evolution of pre-main-sequence stars and their protoplanetary disks and exoplanets. However, dating methods for very young clusters often disagree, casting doubts on the accuracy of the derived ages. We propose a new method to derive the kinematic age of star clusters based on the evaporation ages of their stars. The method is validated and calibrated using hundreds of clusters identified in a supernova-driven simulation of the interstellar medium forming stars for approximately 40 Myr within a 250 pc region. We demonstrate that the clusters' evaporation-age uncertainty can be as small as about 10% for clusters with a large enough number of evaporated stars and small but realistic observational errors. We have obtained evaporation ages for a pilot sample of 10 clusters, finding a good agreement with their published isochronal ages. The evaporation ages will provide important constraints for modeling the pre-main-sequence evolution of low-mass stars, as well as to investigate the star-formation and gas-evaporation history of young clusters. These ages can be more accurate than isochronal ages for very young clusters, for which observations and models are more uncertain.

astro-ph.GA

From the CMF to the IMF: Beyond the Core-Collapse Model

Observations have indicated that the prestellar core mass function (CMF) is similar to the stellar initial mass function (IMF), except for an offset towards larger masses. This has led to the idea that there is a one-to-one relation between cores and stars, such that the whole stellar mass reservoir is contained in a gravitationally-bound prestellar core, as postulated by the core-collapse model, and assumed in recent theoretical models of the stellar IMF. We test the validity of this assumption by comparing the final mass of stars with the mass of their progenitor cores in a high-resolution star-formation simulation that generates a realistic IMF under physical conditions characteristic of observed molecular clouds. Using a definition of bound cores similar to previous works we obtain a CMF that converges with increasing numerical resolution. We find that the CMF and the IMF are closely related in a statistical sense only; for any individual star there is only a weak correlation between the progenitor core mass and the final stellar mass. In particular, for high mass stars only a small fraction of the final stellar mass comes from the progenitor core, and even for low mass stars the fraction is highly variable, with a median fraction of only about 50%. We conclude that the core-collapse scenario and related models for the origin of the IMF are incomplete. We also show that competitive accretion is not a viable alternative.

astro-ph.SR

Expanding associations in the Vela-Puppis region: 3D structure and kinematics of the young population

The Vela-Puppis region is known to host the Vela OB2 association as well as several young clusters featuring OB and pre-main sequence stars. Several spatial and kinematic subgroups have been identified in the recent years. By grouping stars based on their positions and velocity we can address the quetion of the dynamical history of the region and the mechanisms that drove stellar formation. The Gaia DR2 astrometry and photometry enables us to characterise the 3D spatial and 3D kinematic distribution of young stars and to estimate the ages of the identified components. We use an unsupervised classification method to group stars based on their proper motions and parallax. We perform a study of the expansion rates of the different identified groups from 3D velocities, and from corrected tangential velocities. We make use of theoretical isochrones to estimate ages. The young stars can be separated into seven main groups of different ages and kinematical distribution. All groups are found to be expanding, although the expansion is mostly not isotropic. The size of the region, the age substructure, and the anistropic expansion rates are compatible with a prolonged period of star formation in a turbulent molecular cloud, and that the dispersion of the stars cannot be explained by gas expulsion alone.

astro-ph.GA

The CARMA-NRO Orion Survey: The filamentary structure as seen in C$^{18}$O emission

We present an initial overview of the filamentary structure in the Orion A molecular cloud utilizing a high angular and velocity resolution C$^{18}$O(1-0) emission map that was recently produced as part of the CARMA-NRO Orion Survey. The main goal of this study is to build a credible method to study varying widths of filaments which has previously been linked to star formation in molecular clouds. Due to the diverse star forming activities taking place throughout its $\sim$20 pc length, together with its proximity of 388 pc, the Orion A molecular cloud provides an excellent laboratory for such an experiment to be carried out with high resolution and high sensitivity. Using the widely-known structure identification algorithm, DisPerSE, on a 3-dimensional (PPV) C$^{18}$O cube, we identified 625 relatively short (the longest being 1.74 pc) filaments over the entire cloud. We study the distribution of filament widths using FilChaP, a python package that we have developed and made publicly available. We find that the filaments identified in a 2 square degree PPV cube do not overlap spatially, except for the complex OMC-4 region that shows distinct velocity components along the line of sight. The filament widths vary between 0.02 and 0.3 pc depending on the amount of substructure that a filament possesses. The more substructure a filament has, the larger is its width. We also find that despite this variation, the filament width shows no anticorrelation with the central column density which is in agreement with previous Herschel observations.

astro-ph.GA

Zooming in on the Formation of Protoplanetary Disks

We use the adaptive mesh refinement code RAMSES to model the formation of protoplanetary disks in realistic star formation environments. The resolution scales over up to 29 powers of two ($\sim$ 9 orders of magnitude) covering a range from outer scales of 40 pc to inner scales of 0.015 AU. The accretion rate from a 1.5 solar mass envelope peaks near $10^{-4}$ $\mspy$ about 6 kyr after sink particle formation and then decays approximately exponentially, reaching $10^{-6}$ $\mspy$ in 100 kyr. The models suggest universal scalings of physical properties with radius during the main accretion phase, with kinetic and / or magnetic energy in approximate balance with gravitational energy. Efficient accretion is made possible by the braking action of the magnetic field, which nevertheless allows a near-Keplerian disk to grow to a 100 AU size. The magnetic field strength ranges from more than 10 G at 0.1 AU to less than 1 mG at 100 AU, and drives a time dependent bipolar outflow, with a collimated jet and a broader disk wind.

astro-ph.SR

Accuracy of core mass estimates in simulated observations of dust emission

We study the reliability of mass estimates obtained for molecular cloud cores using sub-millimetre and infrared dust emission. We use magnetohydrodynamic simulations and radiative transfer to produce synthetic observations with spatial resolution and noise levels typical of Herschel surveys. We estimate dust colour temperatures using different pairs of intensities, calculate column densities and compare the estimated masses with the true values. We compare these results to the case when all five Herschel wavelengths are available. We investigate the effects of spatial variations of dust properties and the influence of embedded heating sources. Wrong assumptions of dust opacity and its spectral index beta can cause significant systematic errors in mass estimates. These are mainly multiplicative and leave the slope of the mass spectrum intact, unless cores with very high optical depth are included. Temperature variations bias colour temperature estimates and, in quiescent cores with optical depths higher than for normal stable cores, masses can be underestimated by up to one order of magnitude. When heated by internal radiation sources the observations recover the true mass spectra. The shape, although not the position, of the mass spectrum is reliable against observational errors and biases introduced in the analysis. This changes only if the cores have optical depths much higher than expected for basic hydrostatic equilibrium conditions. Observations underestimate the value of beta whenever there are temperature variations along the line of sight. A bias can also be observed when the true beta varies with wavelength. Internal heating sources produce an inverse correlation between colour temperature and beta that may be difficult to separate from any intrinsic beta(T) relation of the dust grains. This suggests caution when interpreting the observed mass spectra and the spectral indices.

astro-ph.GA

Predictions of polarized dust emission from interstellar clouds: spatial variations in the efficiency of radiative torque alignment

Polarization carries information about the magnetic fields in interstellar clouds. The observations of polarized dust emission are used to study the role of magnetic fields in the evolution of molecular clouds and the initial phases of star-formation. We study the grain alignment with realistic simulations, assuming the radiative torques to be the main mechanism that spins the grains up. The aim is to study the efficiency of the grain alignment as a function of cloud position and to study the observable consequences of these spatial variations. Our results are based on the analysis of model clouds derived from MHD simulations. The continuum radiative transfer problem is solved with Monte Carlo methods to estimate the 3D distribution of dust emission and the radiation field strength affecting the grain alignment. We also examine the effect of grain growth in cores. We are able to reproduce the results of Cho & Lazarian using their assumptions. However, the anisotropy factor even in the 1D case is lower than their assumption of $γ= 0.7$, and thus we get less efficient radiative torques. Compared with our previous paper, the polarization degree vs. intensity relation is steeper because of less efficient grain alignment within dense cores. Without grain growth, the magnetic field of the cores is poorly recovered above a few $A_{\rm V}$. If grain size is doubled in the cores, the polarization of dust emission can trace the magnetic field lines possibly up to $A_{\rm V} \sim 10$ magnitudes. However, many of the prestellar cores may be too young for grain coagulation to play a major role. The inclusion of direction dependent radiative torque efficiency weakens the alignment. Even with doubled grain size, we would not expect to probe the magnetic field past a few magnitudes in $A_{\rm V}$.

astro-ph.GA

A Corona Australis cloud filament seen in NIR scattered light I. Comparison with extinction of background stars

With current near-infrared (NIR) instruments the near-infrared light scattered from interstellar clouds can be mapped over large areas. The surface brightness carries information on the line-of-sight dust column density. Therefore, scattered light could provide an important tool to study mass distribution in quiescent interstellar clouds at a high, even sub-arcsecond resolution. We wish to confirm the assumption that light scattering dominates the surface brightness in all NIR bands. Furthermore, we want to show that scattered light can be used for an accurate estimation of dust column densities in clouds with Av in the range 1-15mag. We have obtained NIR images of a quiescent filament in the Corona Australis molecular cloud. The observations provide maps of diffuse surface brightness in J, H, and Ks bands. Using the assumption that signal is caused by scattered light we convert surface brightness data into a map of dust column density. The same observations provide colour excesses for a large number of background stars. These data are used to derive an extinction map of the cloud. The two, largely independent tracers of the cloud structure are compared. Results. In regions below Av=15m both diffuse surface brightness and background stars lead to similar column density estimates. The existing differences can be explained as a result of normal observational errors and bias in the sampling of extinctions provided by the background stars. There is no indication that thermal dust emission would have a significant contribution even in the Ks band. The results show that, below Av=15mag, scattered light does provide a reliable way to map cloud structure. Compared with the use of background stars it can also in practice provide a significantly higher spatial resolution.

astro-ph

Simulations of polarized dust emission

Our aim is to study the polarization of thermal dust emission to see if the alignment of grain by radiative torques could explain the observed relation between the degree of polarization and the intensity in dense cores. Predictions are made for polarimetry observations with the Planck satellite. Our results are based on model clouds derived from MHD simulations of magnetized turbulent flows, while the continuum radiative transfer problem is solved with Monte Carlo methods in order to estimate the three-dimensional distribution of dust emission and the radiation field strength affecting the grain alignment. The influence of grain alignment efficiency is examined in the calculated polarization maps. We are able to reproduce the P/I-relation with the grain alignment by radiative torques. The decrease in intrinsic polarization and total emission means that sub-mm polarimetry carries only little information about the magnetic fields in dense cores with high visual extinction. The interpretation of the observations will be further complicated by the unknown magnetic field geometry and the fact that what is observed as individual cores may, in fact, be a superposition of several density enhancements. According to our calculations, Planck will be able to map dust polarization reliably when A_V > 2 mag at spatial resolution of 15'.

astro-ph

High-resolution mapping of interstellar clouds with near-infrared scattered light

With current wide-field near-infrared (NIR) instruments the scattered light in the near-infrared can be mapped over large areas. Below A_V ~ 10 the surface brightness is directly proportional to the column density, and at slightly higher column densities the saturation of the intensity values can be corrected using the ratios of the intensity in different NIR bands. NIR scattered light provides a promising new method for the mapping of quiescent interstellar clouds. We develop a method to convert the observed near-infrared surface brightness into estimates of the column density. We study and quantify the effect that different error sources could have on the accuracy of such estimates. We also propose to reduce systematic errors by combining surface brightness data with extinction measurements derived from the near-infrared colour excess of background stars. Our study is based on a set of three-dimensional magnetohydrodynamic turbulence simulations. Maps of near-infrared scattered light are obtained with radiative transfer calculations, and the maps are converted back into column density estimates using the proposed method. The results are compared with the true column densities. Extinction measurements are simulated using the same turbulence simulations, and are used as a complementary column density tracer. We find that NIR intensities can be converted into a reliable estimate of the column density in regions with A_V up to almost 20mag.

astro-ph

Multi-Resolution Radiative Transfer for Line Emission

We present describe a new computer code that solves the radiative transfer problem on multi-resolution grids. If the cloud model is from an MHD simulation on a regular cartesian grid, criteria based for example on local density or velocity gradients are used to refine the grid by dividing selected cells into sub-cells. Division can be repeated hierarchically. Alternatively, if the cloud model is from an MHD simulations with adaptive mesh refinement, the same multi-resolution grid used for the MHD simulation is adopted in the radiative transfer calculations. High discretization is often needed only in a small fraction of the total volume. This makes it possible to simulate spectral line maps with good accuracy, also minimizing the total number of cells and the computational cost (time and memory). Multi-resolution models are compared with models on regular grids. In the case of moderate optical depths (tau ~ a few) an accuracy of 10% can be reached with multi-resolution models where only 10% of the cells of the full grid are used. For optically thick species (tau~100), the same accuracy is achieved using 15% of the cells. The relation between accuracy and number of cells is not found to be significantly different in the two MHD models we have studied. The new code is used to study differences between LTE and non-LTE spectra and between isothermal and non-isothermal cloud models. We find significant differences in line ratios and individual spectral line profiles of the isothermal and LTE models relative to the more realistic non-isothermal case. The slope of the power spectrum of integrated intensity is instead very similar in all models.

astro-ph

Photoelectric heating and [CII] cooling in translucent clouds: results for cloud models based on simulations of compressible MHD turbulence

The photoelectric heating is believed to be the main heating mechanism in cool HI clouds. The heating rate can be estimated through observations of the [CII] line emission, since this is the main coolant in regions where the photoelectric effect dominates the heating. Comparison of the [CII] emission with the far-infrared (FIR) emission allows to constrain the efficiency of the photoelectric heating, using model calculations that take into account the strength of the radiation field. Recent [CII] observations carried out with the ISO satellite have made this study possible. In this work we study the correlation between FUV absorption and FIR emission using three-dimensional models. The density distributions are obtained with numerical simulations of compressible magneto-hydrodynamic turbulence, with rms sonic Mach numbers 0.6<M<10. The FIR intensities are solved with detailed radiative transfer calculations. The [CII] line radiation is estimated assuming the [CII] line cooling equals the FUV absorption multiplied by the efficiency of the photoelectric heating, epsilon. The average ratio between the predicted [CII] and FIR emissions is found to be remarkably constant between different models, implying that the derived values of epsilon should not depend on the rms Mach number. The comparison with empirical data from translucent, high latitude clouds yields an estimate of the photoelectric heating efficiency of 2.9 10^-2. This value confirms previous theoretical predictions. Our models show that most of the scatter in the observed [CII] and FIR intensities can be understood as a result of the highly fragmented density field in turbulent HI clouds. The scatter can be reproduced with models with supersonic turbulence, while subsonic turbulence fails to generate the observed scatter.

astro-ph

Dust emission from inhomogeneous interstellar clouds: radiative transfer in 3D with transiently heated particles

We present a numerical code for continuum radiative transfer that is based on the idea of a `library' describing the relation between the intensity of the local radiation field and the resulting dust emission. With this information and local intensities at a few reference wavelengths, the radiative transfer equation can be integrated through the source and an approximation of the emission spectrum is obtained. Tests with small models for which the radiative transfer problem can be solved directly show that with our method one can easily obtain an accuracy of a few per cent. We show spectra computed from three-dimensional MHD simulations containing up to 128^3 cells. The models represent starless, inhomogeneous interstellar clouds embedded in the normal interstellar radiation field. The intensity ratios between IRAS bands show large variations that follow the filamentary density distribution. The power law index of the spatial power spectrum of the column density map is -2.8. In infrared maps temperature variations increase the power at high spatial frequencies, and the index varies between -2.5 and -2.7. Assuming constant dust properties throughout the cloud, the IRAS ratio decreases in densest cores only by a factor of ~4 compared with the value in diffuse medium. In observations the ratio can decrease twice as much even in optically thinner clouds. This requires that most of the small grains are removed in these regions, and possibly a modification of the properties of large grains.

astro-ph

Cooling Rates of Molecular Clouds Based on Numerical MHD Turbulence and non-LTE Radiative Transfer

We have computed line emission cooling rates for the main cooling species in models of interstellar molecular clouds. The models are based on numerical simulations of super-sonic magneto-hydrodynamic (MHD) turbulence. Non-LTE radiative transfer calculations have been performed to properly account for the complex density and velocity structures in the MHD simulations. Three models are used. Two of the models are based on MHD simulations with different magnetic field strength and the third includes the computation of self-gravity (in the super-Alfvenic regime of turbulence). The density and velocity fields in the simulations are determined self-consistently by the dynamics of super-sonic turbulence. The models are intended to represent molecular clouds with linear size L~6 pc and mean density ~300 cm^-3, with the density exceeding 10^4 cm^-3 in the densest cores. We present 12CO, 13CO, C18O, O2, OI, CI and H2O cooling rates in isothermal clouds with kinetic temperatures 10-80K. Analytical approximations are derived for the cooling rates. The inhomogeneity of the models reduces photon trapping and enhances the cooling in the densest parts of the clouds. Compared with earlier models the cooling rates are less affected by optical depth effects and are therefore higher. The main effects comes, however, from the density variation since cooling efficiency increases with density. This is very important for the cooling of the clouds as a whole since most cooling is provided by gas with density above the average.

astro-ph

Radiative Transfer in 3D

The high resolution and sensitivity provided by proposed Atacama Large Millimeter Array will reveal new small scale structures in many sources, e.g. star forming regions. Such inhomogeneities may not have been considered in the analysis of past observations but they will be essential to the understanding of future data. Radiative transfer methods are needed to interpret the observations and the presence of complicated source structures and small scale inhomogeneities requires 3D modelling. We will describe studies of molecular line emission we have made using models of inhomogeneous molecular clouds. These are based on MHD models and include e.g. thermal balance calculations for molecular clouds.

astro-ph

Dark galaxies, spin bias and gravitational lenses

Gravitational lensing studies suggest that the Universe may contain a population of dark galaxies; we investigate this intriguing possibility and propose a mechanism to explain their nature. In this mechanism a dark galaxy is formed with a low density disk in a dark halo of high spin parameter; such galaxies can have surface densities below the critical Toomre value for instabilities to develop, and following Kennicutt's work we expect these galaxies to have low star formation rates. The only stellar component of the galaxies is a halo system, formed during the collapse of the proto-galactic cloud. We compute synthetic stellar population models and show that, at a redshift $z=0.5$, such galaxies have apparent magnitudes $B \simeq 28, R \simeq 26$ and $I \simeq 25$, and could be unveiled by deep searches with the Hubble Space Telescope. Dark galaxies have an initial short blue phase and then become essentially invisible, therefore they may account for the blue population of galaxies at high redshift. We find a strong mass-dependence in the fraction of dark galaxies, and predict that spiral galaxies will not be found in halos with masses less than about $10^9 M_\odot$, if $Ω=1$. Above about $10^{12}M_\odot$, all halos can produce luminous disks. The mass-dependence of the galaxy-formation efficiency introduces the possibility of `spin bias' -- luminous galaxies being associated preferentially with strongly-clustered high-mass halos. A further prediction is that the slope of the faint-end luminosity function for galaxies will be flatter than the associated halo mass function.

astro-ph

The ages and distances of globular clusters with the luminosity function method: the case of M5 and M55

We present new age and distance determinations for the Galactic Globular Clusters M55 and M5, using the luminosity function method (Jimenez & Padoan 1996, Padoan & Jimenez 1997). We find an age of $11.8 \pm 1.5$ Gyr for M55 and $11.1 \pm 0.7$ Gyr for M5. This confirms previous results (Jimenez et al. 1996, Sandquist et al. 1996) and allows to conclude that the oldest stars in the Universe are not older than 14 Gyr. We also find $m-M=14.13 \pm 0.11$ for M55, and $m-M=14.49 \pm 0.06$ for M5. These values agree with the ones obtained using the tip of the red giant branch (Jimenez et al. 1996) and the sub-dwarf fitting method (Sandquist et al. 1996).

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