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Surface densities of gas, dust and stars provide a window into the physics ofstar-formation that, until the advent of high-resolutionfar-infrared/sub-millimeter observations, has been historically difficult toassess amongst dusty galaxies. To study the link between infrared (IR) surfacedensities and dust properties, we leverage the Atacama LargeMillimetre/Submillimetre Array (ALMA) archive to measure the extent of colddust emission in 15 $z\sim2$ IR selected galaxies selected on the basis ofhaving available mid-IR spectroscopy from Spitzer. We use the mid-IR spectra toconstrain the relative balance between dust heating from star-formation andactive galactic nuclei (AGN), and to measure emission from Polycylic AromaticHydrocarbons (PAHs) -- small dust grains that play a key role in thephotoelectric heating of gas. In general, we find that dust-obscuredstar-formation at high IR surface densities exhibits similar properties at low-and high-redshift, namely: local luminous IR galaxies have comparable PAHluminosity to total dust mass ratios as high-$z$ galaxies, and star-formationat $z\sim0-2$ is more efficient at high IR surface densities despite the factthat our sample of high$-z$ galaxies are closer to the main-sequence than localluminous IR galaxies. High star-formation efficiencies are coincident with adecline in the PAH/IR luminosity ratio reminiscent of the deficit observed infar-infrared fine-structure lines. Changes in the gas and dust conditionsarising from high star-formation surface densities might help drive thestar-formation efficiency up. This could help explain high efficiencies neededto reconcile star-formation and gas volume densities in dusty galaxies atcosmic noon.

The IR Compactness of Dusty Galaxies Set Star-formation and Dust Properties at z~0-2