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

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dc.creatorDoherty, J. P.
dc.creatorMoore, M. A.
dc.creatorKim, J. M.
dc.creatorBray, A. J.
dc.date1993-07-26
dc.date1993-07-30
dc.date.accessioned2026-07-07T08:58:46Z
dc.date.available2026-07-07T08:58:46Z
dc.descriptionWe 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.
dc.description12 pages + 2 figures available on request, LaTeX version 3.1
dc.identifierhttps://arxiv.org/abs/cond-mat/9307053
dc.identifierhttp://arxiv.org/abs/cond-mat/9307053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147454
dc.subjectCondensed Matter
dc.titleGeneralizations of the KPZ equation (minor changes to enable easy latexing)
dc.typetext

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