Abstract
Observations of ionised carbon at 158 micron (CII) from luminous
star-forming galaxies at z~0 show that their ratios of CII to far infrared
(FIR) luminosity are systematically lower than those of more modestly
star-forming galaxies. In this paper, we provide a theory for the origin of
this so called "CII deficit" in galaxies. Our model treats the interstellar
medium as a collection of clouds with radially-stratified chemical and thermal
properties, which are dictated by the clouds' volume and surface densities, as
well as the interstellar radiation and cosmic ray fields to which they are
exposed. CII emission arises from the outer, HI dominated layers of clouds,
and from regions where the hydrogen is H2 but the carbon is predominantly C+.
In contrast, the most shielded regions of clouds are dominated by CO and
produce little CII emission. This provides a natural mechanism to explain the
observed CII-star formation relation: galaxies' star formation rates are
largely driven by the surface densities of their clouds. As this rises, so does
the fraction of gas in the CO-dominated phase that produces little CII
emission. Our model further suggests that the apparent offset in the CII-FIR
relation for high-z sources compared to those at present epoch may arise from
systematically larger gas masses at early times: a galaxy with a large gas mass
can sustain a high star formation rate even with relatively modest surface
density, allowing copious CII emission to coexist with rapid star formation.
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