An elemental metal can dissolve at kink sites at low everpotentials pr
oducing no new interfacial area. When an ideal solid solution alloy un
dergoes selective dissolution, this situation is not possible owing to
atomic-scale disorder. Dissolution of the less noble constituent can
proceed only by injection of regions of negative curvature into the so
lid surface, which increases the interfacial area. We present a thermo
dynamic analysis which accounts for these capillary effects in alloy d
issolution. The phenomenon of the critical potential for macroscopic s
elective dissolution is analyzed in terms of a kinetic roughening tran
sition. This transition results from a competition between curvature-d
ependent dissolution and surface diffusion. An expression for the crit
ical potential as a function of alloy composition is developed. The de
alloying threshold corresponds to a critical composition on the line o
f critical potentials defining the roughening transition.