Trilinear mode effects on transport coefficients

I.A. Michaels and I. Oppenheim

Physica A: Statistical Mechanics and its Applications, 1975, vol. 81, issue 4, 522-534

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 log12 t]-1. In three dimensions, the form of the asymptotic time behavior is not changed when higher-order modes are included.

Date: 1975
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:81:y:1975:i:4:p:522-534

DOI: 10.1016/0378-4371(75)90073-4

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