Abstract
The effects of tri-linear modes on transport coefficients is illustrated by explicit calculations for the self-diffusion constant. In two dimensions the form of the asymptotic time behavior of the velocity autocorrelation function is changed from t -1 (bilinear modes) to ( t log t) -1 (trilinear modes). Thus, no finite mode calculation in two dimensions can yield the correct asymptotic form. A heuristic self-consistent calculation including all mode orders yields the form [t log 1 2 t] -1. In three dimensions, the form of the asymptotic time behavior is not changed when higher-order modes are included.
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