Magnetized Interstellar Molecular Clouds. I. Comparison Between Simulations and Zeeman Observations

TL;DR

This study combines MHD simulations and Zeeman observations to analyze magnetic fields in star-forming molecular clouds, revealing a consistent power-law relation between magnetic field strength and density and supporting the idea that clouds form from strongly magnetized gas.

Contribution

The paper demonstrates that simulations with different initial magnetic field strengths can reproduce observed magnetic field scaling laws in molecular clouds, confirming the strong magnetic influence on cloud formation.

Findings

Magnetic field strength scales with density as approximately n^{0.65}.

Simulated magnetic field ratios match observed values within a factor of 1.3 to 1.7.

Most molecular clumps are significantly supercritical in mass-to-flux ratio.

Abstract

The most accurate measurements of magnetic fields in star-forming gas are based on the Zeeman observations analyzed by Crutcher et al. (2010). We show that their finding that the 3D magnetic field scales approximately as density$^{0.65}$ can also be obtained from analysis of the observed line-of-sight fields. We present two large-scale AMR MHD simulations of several thousand $M_\odot$ of turbulent, isothermal, self-gravitating gas, one with a strong initial magnetic field (Alfven Mach number $M_{A,0}= 1$) and one with a weak initial field ($M_{A,0}=10$). We construct samples of the 100 most massive clumps in each simulation and show that they exhibit a power-law relation between field strength and density in excellent agreement with the observed one. Our results imply that the average field in molecular clumps in the interstellar medium is $<B_{tot}> \sim 42 n_{H,4}^{0.65} \mu$G. Furthermore, the median value of the ratio of the line-of-sight field to density$^{0.65}$ in the simulations is within a factor of about (1.3, 1.7) of the observed value for the strong and weak field cases, respectively. The median value of the mass-to-flux ratio, normalized to the critical value, is 70% of the line-of-sight value. This is larger than the 50% usually cited for spherical clouds because the actual mass-to-flux ratio depends on the volume-weighted field, whereas the observed one depends on the mass-weighted field. Our results indicate that the typical molecular clump in the ISM is significantly supercritical (~ factor of 3). The results of our strong-field model are in very good quantitative agreement with the observations of Li et al. (2009), which show a strong correlation in field orientation between small and large scales. Because there is a negligible correlation in the weak-field model, we conclude that molecular clouds form from strongly magnetized (although magnetically supercritical) gas.