The velocity diffusion coefficient for particles in a field of a large
number of randomly phased electrostatic waves is calculated numerical
ly by iterating a set of finite-difference equations. For moderate val
ues of Chirikov's overlap parameter K, the diffusion is found to be si
gnificantly faster (up to a factor of 2.2 at K almost-equal-to 17) tha
n suggested by quasilinear theory, which confirms recent findings by C
ary et al. [Phys. Rev. Lett. 65, 3132 (1990)].