Glassy Solutions of the Kardar-Pasrisi-Zhang Equation

Details Glassy Solutions of the Kardar-Pasrisi-Zhang Equation Glassy Solutions of the Kardar-Pasrisi-Zhang Equation

1994-07-18

arxiv.org/abs/cond-mat/9407076v2

Physics

Condensed Matter

11 pages, Revtex, 1 figure available upon request (same as figure 1 in ref [10]) Important corrections have been made which yi

Scientific paper

10.1103/PhysRevLett.74.4257

It is shown that the mode-coupling equations for the strong-coupling limit of the KPZ equation have a solution for d>4 such that the dynamic exponent z is 2 (with possible logarithmic corrections) and that there is a delta function term in the height correlation function = (A/k^{d+4-z}) \delta(w/k^z) where the amplitude A vanishes as d -> 4. The delta function term implies that some features of the growing surface h(x,t) will persist to all times, as in a glassy state.

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