Multiple power-law tails in the density and column-density distribution in contracting star-forming clumps

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Main Authors: Veltchev, Todor V., Girichidis, Philipp, Marinkova, Lyubov, Donkov, Sava, Stanchev, Orlin, Klessen, Ralf S.
Format: Preprint
Published: 2024
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author Veltchev, Todor V.
Girichidis, Philipp
Marinkova, Lyubov
Donkov, Sava
Stanchev, Orlin
Klessen, Ralf S.
author_facet Veltchev, Todor V.
Girichidis, Philipp
Marinkova, Lyubov
Donkov, Sava
Stanchev, Orlin
Klessen, Ralf S.
contents We present a numerical study of the evolution of power-law tails (PLTs) in the (column-)density distributions ($N$-PDF, $ρ$-PDF) in contracting star-forming clumps in primordial gas, without and with some initial rotational and/or turbulent support. In all considered runs multiple PLTs emerge shortly after the formation of the first protostar. The first PLT (PLT 1) in the $ρ$-PDF is a stable feature with slope $q_1\simeq -1.3$ which corresponds -- under the condition of preserved spherical symmetry -- to the outer envelope of the protostellar object with density profile $ρ\propto l^{-2}$ in the classical Larson-Penston collapse model, where $l$ is the radius. The second PLT (PLT 2) in the $ρ$-PDF is stable in the pure-infall runs but fluctuates significantly in the runs with initial support against gravity as dozens of protostars form and their mutual tidal forces change the density structure. Its mean slope, $\langle q_2\rangle\simeq -2$, corresponds to a density profile of $ρ\propto l^{-3/2}$ which describes a core in free fall in the classical Larson-Penston collapse model or an attractor solution at scales with dominating protostellar gravity. PLT 1 and PLT 2 in the $N$-PDFs are generally consistent with the observational data of Galactic low-mass star-forming regions from {\it Herschel} data. In the runs with initial support against gravity a third PLT (PLT~3) in the $ρ$-PDFs appears simultaneously with or after the emergence of PLT 2. It is very shallow, with mean slope of $\langle q_3\rangle\simeq -1$, and is associated with the formation of thin protostellar accretion disks.
format Preprint
id arxiv_https___arxiv_org_abs_2401_02148
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Multiple power-law tails in the density and column-density distribution in contracting star-forming clumps
Veltchev, Todor V.
Girichidis, Philipp
Marinkova, Lyubov
Donkov, Sava
Stanchev, Orlin
Klessen, Ralf S.
Astrophysics of Galaxies
We present a numerical study of the evolution of power-law tails (PLTs) in the (column-)density distributions ($N$-PDF, $ρ$-PDF) in contracting star-forming clumps in primordial gas, without and with some initial rotational and/or turbulent support. In all considered runs multiple PLTs emerge shortly after the formation of the first protostar. The first PLT (PLT 1) in the $ρ$-PDF is a stable feature with slope $q_1\simeq -1.3$ which corresponds -- under the condition of preserved spherical symmetry -- to the outer envelope of the protostellar object with density profile $ρ\propto l^{-2}$ in the classical Larson-Penston collapse model, where $l$ is the radius. The second PLT (PLT 2) in the $ρ$-PDF is stable in the pure-infall runs but fluctuates significantly in the runs with initial support against gravity as dozens of protostars form and their mutual tidal forces change the density structure. Its mean slope, $\langle q_2\rangle\simeq -2$, corresponds to a density profile of $ρ\propto l^{-3/2}$ which describes a core in free fall in the classical Larson-Penston collapse model or an attractor solution at scales with dominating protostellar gravity. PLT 1 and PLT 2 in the $N$-PDFs are generally consistent with the observational data of Galactic low-mass star-forming regions from {\it Herschel} data. In the runs with initial support against gravity a third PLT (PLT~3) in the $ρ$-PDFs appears simultaneously with or after the emergence of PLT 2. It is very shallow, with mean slope of $\langle q_3\rangle\simeq -1$, and is associated with the formation of thin protostellar accretion disks.
title Multiple power-law tails in the density and column-density distribution in contracting star-forming clumps
topic Astrophysics of Galaxies
url https://arxiv.org/abs/2401.02148