Dust coagulation and fragmentation in molecular clouds - I. How collisions between dust aggregates alter the dust size distribution

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Volume 502 / No 3 (August II 2009)

A&A, 502 3 (2009) 845-869

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Table 3:

Mass-weighted size of the distribution, $\langle a \rangle_{\rm m}$ , at several distinct events during the simulation run.
	$\langle a \rangle_{\rm m}$ [cm]
Model	$10^4\ {\rm yr}$	$10^5\ {\rm yr}$	$10^6\ {\rm yr}$	$10^7\ {\rm yr}$	$t_{\rm ff}(n)$	$t_{\rm ad}(n)$
(1)	(2)	(3)	(4)	(5)	(6)	(7)
n=10³, ice	1.0(-5)	1.0(-5)	1.2(-5)	8.3(-5)	1.2(-5)	8.3(-5)
n=10⁴, silicates	1.0(-5)	1.1(-5)	1.4(-5)	1.4(-5)	1.2(-5)	1.4(-5)
n=10⁴, ice	1.0(-5)	1.1(-5)	4.6(-5)	8.5(-4)	1.5(-5)	8.5(-4)
n=10⁵, silicates	1.0(-5)	1.9(-5)	4.0(-5)	4.0(-5)	2.0(-5)	4.0(-5)
n=10⁵, silicates, a₀=10^-4	1.0(-4)	1.0(-4)	1.0(-4)	1.0(-4)	1.0(-4)	1.0(-4)
n=10⁵, ice	1.0(-5)	2.2(-5)	6.4(-4)	7.4(-3)	2.3(-5)	3.2(-3)
n=10⁵, ice, a₀=10^-4	1.0(-4)	1.1(-4)	2.2(-4)	2.3(-4)	1.1(-4)	2.3(-4)
n=10⁵, ice, $a_0=3\times10^{-6}$	3.2(-6)	1.1(-5)	1.3(-3)	4.3	1.2(-5)	2.4(-1)
n=10⁵, ice, compact	1.0(-5)	1.5(-5)	1.4(-4)	5.8(-3)	1.6(-5)	1.3(-3)
n=10⁵, ice, head-on	1.0(-5)	2.2(-5)	3.6(-4)	7.5(-3)	2.4(-5)	3.1(-3)
n=10⁶, silicates	1.4(-5)	1.2(-4)	1.3(-4)	1.3(-4)	4.4(-5)	1.3(-4)
n=10⁶, ice	1.4(-5)	2.7(-4)	3.7(-2)	2.0(-2)	4.6(-5)	2.9(-2)
n=10⁷, ice	7.9(-5)	3.7(-2)	5.2(-2)	6.1(-2)	8.6(-5)	7.8(-1)

Note: Column (1) lists the models in terms of the density (n) and material properties. The monomer size (a₀) is $0.1\ \ensuremath{\mu{\rm m}}$ , unless otherwise indicated. Columns (2)-(5) give the mass-weighted size of the distribution at fixed coagulation times. Likewise, Cols. (6)-(7) provide $\langle a \rangle_{\rm m}$ at the free-fall and the ambipolar diffusion timescale of the cloud that corresponds to the gas density n. These are a function of density and are given in Eq. (1) and Eq. (2), respectively. Values $a\times10^b$ are denoted a(b).

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