We propose a fluctuation-based entropic scenario for the explanation o
f surface freezing in alkanes and other liquids of chain molecules. Ou
r model is based on the notion that strong fluctuations along the mole
cular axis of uniaxially ordered stretched chains can exist in a solid
monolayer on top of a liquid phase, and provide sufficient entropy to
stabilize it against the formation of a bulk rotator phase. We show t
hat the phenomenon can exist only in a restricted range of molecular w
eights, and calculate the molecular weight dependences of the temperat
ure range in which it is observed and of the correction to the surface
tension.