Generalizations of the Kpz Equation
نویسندگان
چکیده
We generalize the KPZ equation to an O(3) N = 2j + 1 component model. In the limit N → ∞ 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 ≈ 3.6. 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. PACS numbers: 05.40.+j, 05.70.Ln, 64.60.Cn
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تاریخ انتشار 1993