A physically motivated galaxy size definition across different state-of-the-art hydrodynamical simulations

Left: R1 vs stellar mass for AURIGA (orange), HESTIA (blue), NIHAO (green), FIRE-2 (pink), EAGLE (red), and Trujillo+20 (grey). Right: Stellar vs total mass (STMR) within R1 for AURIGA, HESTIA, NIHAO and FIRE-2. In grey, STMR within 3R1/2 for comparison.
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Measuring galaxy sizes is essential for understanding how they were formed and evolved across time. However, traditional methods based on light concentration or isophotal densities often lack a clear physical meaning. A recent study from Trujillo+20 explores a more physically motivated definition: the radius R1, where the stellar surface density falls to 1 solar masses per parsec square —roughly the threshold for gas to form stars in galaxies like the Milky Way. In this work, Arjona-Gálvez+25 uses over 1,000 galaxies from several state-of-the-art cosmological simulations (AURIGA, HESTIA, NIHAO and FIRE), showing that the R1–stellar mass relation is remarkably consistent across different galaxy types, evolutionary stages, and simulation models, reflecting a fundamental aspect of how galaxies grow. This relation displays significantly less scatter than traditional size indicators and remains stable across cosmic time. 

The results also reveal a tight connection between the total mass enclosed within R1 and a galaxy’s stellar mass, suggesting that R1 could also act like a potential observational tracer of the galaxy’s dark matter halo properties. In other words, measuring a galaxy’s size in this way could also tell us about the total matter shaping it.