Velocity dispersion in the interstellar medium of early galaxies

TL;DR

This study analyzes the velocity dispersion in early galaxies during the Epoch of Reionization using simulations, revealing how galaxy structure, resolution, and gravitational processes influence observed velocity dispersions and their relation to star formation rates.

Contribution

It provides detailed predictions of velocity dispersion maps and their dependence on resolution, galaxy structure, and physical processes in high-redshift galaxies, based on simulations.

Findings

High-resolution velocity dispersion is 23-38 km/s, highest in disturbed galaxies.

Beam smearing causes overestimation of velocity dispersion at lower resolutions.

Velocity dispersion correlates with star formation rate as σ ∝ Σ_SFR^{5/7}.

Abstract

We study the structure of spatially resolved, line-of-sight velocity dispersion for galaxies in the Epoch of Reionization (EoR) traced by [CII] $158\mu\rm{m}$ line emission. Our laboratory is a simulated prototypical Lyman-break galaxy, "Freesia", part of the SERRA suite. The analysis encompasses the redshift range 6 < z < 8, when Freesia is in a very active assembling phase. We build velocity dispersion maps for three dynamically distinct evolutionary stages (Spiral Disk at z=7.4, Merger at z=8.0, and Disturbed Disk at z=6.5) using [CII] hyperspectral data cubes. We find that, at a high spatial resolution of 0.005" ($\simeq 30 pc$), the luminosity-weighted average velocity dispersion is $\sigma_{\rm{CII}}$~23-38 km/s with the highest value belonging to the highly-structured Disturbed Disk stage. Low resolution observations tend to overestimate $\sigma_{\rm CII}$ values due to beam smearing effects that depend on the specific galaxy structure. For an angular resolution of 0.02" (0.1"), the average velocity dispersion is 16-34% (52-115%) larger than the actual one. The [CII] emitting gas in Freesia has a Toomre parameter $\mathcal{Q}$~0.2 and a rotational-to-dispersion ratio of $v_{\rm c}/\sigma$~ 7 similar to that observed in z=2-3 galaxies. The primary energy source for the velocity dispersion is due to gravitational processes, such as merging/accretion events; energy input from stellar feedback is generally subdominant (< 10%). Finally, we find that the resolved $\sigma_{\rm{CII}} - {\Sigma}_{\rm SFR}$ relation is relatively flat for $0.02<{\Sigma}_{\rm SFR}/{{\rm M}_{\odot}} \mathrm{yr}^{-1} {\mathrm kpc}^{-2} < 30$, with the majority of data lying on the derived analytical relation $\sigma \propto \Sigma_{\rm SFR}^{5/7}$. At high SFR, the increased contribution from stellar feedback steepens the relation, and $\sigma_{\rm{CII}}$ rises slightly.