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While the Sersic profile family provide adequate fits for the surfacebrightness profiles of observed galaxies, the physical origin is unknown. Weshow that, if the cosmological density field are seeded by random gaussianfluctuations, as in the standard cold dark matter model, galaxies with steepcentral profiles have simultaneously extended envelopes of shallow profiles inthe outskirts, whereas galaxies with shallow central profiles are accompaniedby steep density profiles in the outskirts. These properties are in accord withthose of the Sersic profile family. Moreover, galaxies with steep centralprofiles form their central regions in smaller denser subunits that possiblymerge subsequently, which naturally leads to formation of bulges. In contrast,galaxies with shallow central profiles form their central regions in a coherentfashion without significant substructure, a necessary condition for disk galaxyformation. Thus, the scenario is self-consistent with respect to thecorrelation between observed galaxy morphology and Sersic index. We predictfurther that clusters of galaxies should display a similar trend, which shouldbe verifiable observationally.

Gaussian Random Field: Physical Origin of Sersic Profiles