Establish the relationship between correlation length and turbulence injection mechanisms

Establish the direct relationship between the observed galaxy-scale correlation lengths of star-forming structures and the turbulence-injection mechanisms operating from tens of parsecs to several kiloparsecs.

Background

The correlation length is interpreted as the largest scale up to which star-forming regions remain spatially correlated. The paper associates sub-kiloparsec correlation lengths in dwarf irregulars primarily with stellar-feedback-driven turbulence, while invoking disk instabilities, spiral structure, galactic shear, and bars to explain kiloparsec-scale hierarchies in spiral galaxies.

These interpretations remain indirect because the study does not directly measure the turbulent velocity fields or injection scales in the relevant galaxies. A quantitative connection between correlation length and the physical sources and scales of turbulence is therefore left unresolved and is proposed for investigation with larger galaxy samples.

References

A direct relationship between the observed correlation lengths of galaxies and the turbulence injection mechanisms acting on scales ranging from tens of pc up to several kpc still needs to be established.

— Investigating the Young Stellar Populations and Hierarchies in Nearby Galaxies with the UVIT. III. Evidence for a Largest Scale of Correlated Stellar Structures and a Non-universal Fractal Dimension  (2609.01065 - Shashank et al., 1 Sep 2026) in Section 5.5, “Possible physical interpretations”