The Scale Dependence of the Molecular Gas Depletion Time in M33

TL;DR

This study investigates how the molecular gas depletion time in M33 varies with spatial scale, revealing a breakdown of the star formation law below 300pc and emphasizing the importance of regional evolution.

Contribution

It provides a detailed analysis of scale-dependent variations in molecular gas depletion time and highlights the breakdown of the star formation law at small spatial scales in M33.

Findings

On large scales, the star formation law holds with a median depletion time of ~1 Gyr.

Below 300pc, the depletion time varies significantly depending on the region type.

The breakdown of the star formation law is driven by the evolution of individual star-forming regions.

Abstract

We study the Local Group spiral galaxy M33 to investigate how the observed scaling between the (kpc-averaged) surface density of molecular gas (\Sigma_H2) and recent star formation rate (\Sigma_SFR) relates to individual star-forming regions. To do this, we measure the ratio of CO emission to extinction-corrected Halpha emission in apertures of varying sizes centered both on peaks of CO and Halpha emission. We parameterize this ratio as a molecular gas (H_2) depletion time (\tau_dep). On large (kpc) scales, our results are consistent with a molecular star formation law (Sigma_SFR \sim Sigma_H2^b) with b \sim 1.1 - 1.5 and a median \tau_dep \sim 1 Gyr, with no dependence on type of region targeted. Below these scales, \tau_dep is a strong function of adopted angular scale and the type of region that is targeted. Small (\lesssim 300pc) apertures centered on CO peaks have very long \tau_dep (i.e., high CO-to-Halpha flux ratio) and small apertures targeted toward Halpha peaks have very short \tau_dep. This implies that the star formation law observed on kpc scales breaks down once one reaches aperture sizes of \lesssim 300pc. For our smallest apertures (75pc), the difference in \tau_dep between the two types of regions is more than one order of magnitude. This scale behavior emerges from averaging over star-forming regions with a wide range of CO-to-Halpha ratios with the natural consequence that the breakdown in the star formation law is a function of the surface density of the regions studied. We consider the evolution of individual regions the most likely driver for region-to-region differences in \tau_dep (and thus the CO-to-Halpha ratio).