Magnetic clumping of charged dust in the dense interstellar medium

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Table 2

Stokes number St, time-averaged maximum transverse-to-longitudinal magnetic ratio B_⊥ / B_∥, dust clumping fraction C_{f, 10}, maximum and mean dust density fluctuation, and dust clumping factor $⟨ ρ_{d}^{2} ⟩ / {⟨ ρ_{d} ⟩}^{2}$ $\left\langle\rho_{\mathrm{d}}^{2}\right\rangle /\left\langle\rho_{\mathrm{d}}\right\rangle^{2}$ for the different models.

Model	St	B_⊥ / B_∥	C_{f, 10}	ρ_{d, max} / ρ_{d, 0}	⟨ρ_d⟩ / ρ_{d, 0}	$⟨ ρ_{d}^{2} ⟩ / {⟨ ρ_{d} ⟩}^{2}$ $\left\langle\rho_{\mathrm{d}}^{2}\right\rangle /\left\langle\rho_{\mathrm{d}}\right\rangle^{2}$
β 0.1	10⁻²	0.05	0	5.59	3.20	1.22
β 0.3	10⁻²	0.15	0	6.57	3.82	1.29
β 0.7	10⁻²	0.37	0.35	12.8	7.76	2.0
β 1	10⁻²	0.52	0.69	20.5	13.2	2.21
n_H 10⁴	10⁻¹	0.36	0.41	15.2	8.35	2.26
n_H 10⁶	10⁻²	0.36	0.35	12.8	7.76	2.0
n_H 10⁸	10⁻³	0.38	0.01	8.21	5.45	1.52
S_d 0.1	10⁻⁴	0.38	0	6.23	3.95	1.27
S_d 1	10⁻³	0.37	0.02	8.44	5.56	1.53
S_d 10	10⁻²	0.36	0.34	12.8	7.71	2.0
S_d 100	10⁻¹	0.36	0.4	14.9	8.18	2.25
$M_{∥} 0.12$ $\mathcal{M}_{\\|} 0.12$	10⁻²	0.11	0	2.22	1.25	1.17
$M_{∥} 0.36$ $\mathcal{M}_{\\|} 0.36$	10⁻²	0.25	0.03	9.13	2.68	1.59
$M_{∥} 0.56$ $\mathcal{M}_{\\|} 0.56$	10⁻²	0.37	0.35	12.4	7.41	1.96
$M_{∥} 0.92$ $\mathcal{M}_{\\|} 0.92$	10⁻²	0.45	0.76	21.9	14.4	2.21
β 1 S_d 0.1	10⁻⁴	0.55	0	6.51	4.27	1.31
β 1 S_d 1	10⁻³	0.54	0.22	11.5	7.71	1.93
β 1 S_d 100	10⁻¹	0.51	0.72	26.8	15.6	3.85
β 1 n_i / 10 S_d 0.1	10⁻⁴	0.52	0	6.53	4.28	1.31
β 1 n_i / 10 S_d 1	10⁻³	0.49	0.35	12.9	8.25	2.26
β 1 n_i / 10 S_d 10	10⁻²	0.43	0.76	58.7	24.2	8.25
β 1 n_i / 10 S_d 100	10⁻¹	0.38	0.95	515.6	328.9	4240.4

Notes. When not indicated, parameter values are implicitly assumed to be the fiducial ones (see Table 1). The clumping fraction is defined as the fraction of dust mass whose density has increased by a factor of more than 10(ρ_d / ρ_d, 0 ≥ 10). The spatially averaged dust density fluctuation in computed as per Eq. (18). Those values are then averaged over time (steady-state regime).

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