The diffusion coefficient for particles in a field of randomly phased waves was calculated numerically. Spectra broad in wave number and broad in frequency exhibit identical behavior for the diffusion coefficient as a function of the overlap parameter {ε}. The diffusion coefficient exceeds the quasilinear value by a factor of about 2.5 at {ε} near 18. Differences greater than 25% between the two values exist far above the chaotic threshold ({ε}{}60). A mapping-based model with a small number of random phases qualitatively reproduces the results of the simulations.
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Cary et al. (1990) studied this question.
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