2022MNRAS.514.5927S -
Mon. Not. R. Astron. Soc., 514, 5927-5940 (2022/August-3)
On the time evolution of the Md-M and M-M correlations for protoplanetary discs: the viscous time-scale increases with stellar mass.
SOMIGLIANA A., TOCI C., ROSOTTI G., LODATO G., TAZZARI M., MANARA C.F., TESTI L. and LEPRI F.
Abstract (from CDS):
Large surveys of star-forming regions have unveiled power-law correlations between the stellar mass and the disc parameters, such as the disc mass Md - M* and the accretion rate {dot}M - M*. The observed slopes appear to be increasing with time, but the reason behind the establishment of these correlations and their subsequent evolution is still uncertain. We conduct a theoretical analysis of the impact of viscous evolution on power-law initial conditions for a population of protoplanetary discs. We find that, for evolved populations, viscous evolution enforces the two correlations to have the same slope, λm = λacc, and that this limit is uniquely determined by the initial slopes λ_m, 0_ and λ_acc, 0_. We recover the increasing trend claimed from the observations when the difference in the initial values, δ0 = λ_m, 0–λacc, 0_, is larger than 1/2; moreover, we find that this increasing trend is a consequence of a positive correlation between the viscous time-scale and the stellar mass. We also present the results of disc population synthesis numerical simulations, that allow us to introduce a spread and analyse the effect of sampling, which show a good agreement with our analytical predictions. Finally, we perform a preliminary comparison of our numerical results with observational data, which allows us to constrain the parameter space of the initial conditions to λ_m, 0_ ∈ [1.2, 2.1], λ_acc, 0_ ∈ [0.7, 1.5].
Abstract Copyright:
© 2022 The Author(s) Published by Oxford University Press on behalf of Royal Astronomical Society
Journal keyword(s):
accretion, accretion discs - planets and satellites: formation - protoplanetary discs
Simbad objects:
9
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