Motivated by the recent observations of the peak effect in high-T-c YB
CO superconductors, we re-examine the origin of this unusual phenomeno
n. We propose that the sharp peak in the critical current as a functio
n of temperature or magnetic field is an interesting manifestation of
vortex-lattice melting in the presence of weak random pinning. Specifi
cally, the rise of the critical current with increasing temperature or
field is a result of a crossover from the Larkin pinning length to a
length scale set by thermal fluctuations.