The shock model has successfully explained the observed behaviors of
afterglows from long gamma-ray bursts (GRBs). Here we use it to investigate the
so-called early afterglows from short GRBs, which arises from blast waves that
are not decelerated considerably by their surrounding medium. We consider a
nearby medium loaded with e± pairs (Beloborodov 2002). The temporal
behaviors show first a soft-to-hard spectral evolution, from the optical to
hard X-ray, and then a usual hard-to-soft evolution after the blast waves begin
to decelerate. The light curves show variability, and consist of two peaks. The
first peak, due to the pair effect, can be observed in the X-ray, though too
faint and too short in the optical. The second peak will be easily detected by
{\it Swift}. We show that detections of the double-peak structure in the light
curves of early afterglows are very helpful to determine all the shock
parameters of short GRBs, including both the parameters of the relativistic
source and the surroundings. Besides, from the requirement that the
forward-shock emission in short GRBs should be below the BATSE detection
threshold, we give a strong constraint on the shock model parameters. In
particular, the initial Lorentz factor of the source is limited to be no more
than ∼103, and the ambient medium density is inferred to be low, n\la
10^{-1} cm−3.Comment: 5 pages, 1 figure, minor changes to match the publish in MNRA