When a container of fluid is oscillated vertically, capillary waves de
velop on the surface if the amplitude exceeds a critical value. Experi
mentally one finds that the motion of small particles on the surface o
f the fluid is close to Brownian. Here we study the relative motion of
particle pairs. The experiment establishes that particle motion is st
rongly correlated over macroscopic distances. Our observations are in
striking agreement with upper-ocean studies, and with theories that ap
pear applicable to this ''weak turbulence'' problem, and in disagreeme
nt with experimental and theoretical results for two-dimensional large
-scale atmospheric turbulence.