Generalizations of the KPZ equation (minor changes to enable easy latexing)

Details Generalizations of the KPZ equation (minor changes to enable easy latexing) Generalizations of the KPZ equation (minor changes to enable easy latexing)

1993-07-26

arxiv.org/abs/cond-mat/9307053v2

Physics

Condensed Matter

12 pages + 2 figures available on request, LaTeX version 3.1

Scientific paper

We generalize the KPZ equation to an O(3) $N=2j+1$ component model. In the limit $N \to \infty$ we show that the mode coupling equations become exact. Solving these approximately we find that the dynamic exponent $z$ increases from $3/2$ for $d=1$ to $2$ at the dimension $d\approx3.6$. For $d=1$ it can be shown analytically that $z=3/2$ for all $j$. The case $j=2$ for $d=2$ is investigated by numerical integration of the KPZ equation.

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