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Glassy Solutions of the Kardar-Pasrisi-Zhang Equation

M. A. Moore·T. Blum J. P. Doherty·M. Marsili·J-P. Bouchaud·P. Claudin
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Abstract

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}) δ(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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M. A. Moore, T. Blum J. P. Doherty, M. Marsili, J-P. Bouchaud, P. Claudin. 1995-02-02. Glassy Solutions of the Kardar-Pasrisi-Zhang Equation. https://doi.org/10.1103/physrevlett.74.4257

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