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Soluble Infinite-Range Model of Kinetic Roughening

M. Marsili·A. J. Bray
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Abstract

A modified Kardar-Parisi-Zhang (KPZ) equation is introduced, and solved exactly in the infinite-range limit. In the low-noise limit the system exhibits a weak-to-strong coupling transition, rounded for non-zero noise, as a function of the KPZ non-linearity. The strong-coupling regime is characterised by a double-peaked height distribution in the stationary state. The nonstationary dynamics is quite different from that of the stationary state.

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M. Marsili, A. J. Bray. 1996-02-06. Soluble Infinite-Range Model of Kinetic Roughening. https://doi.org/10.1103/physrevlett.76.2750

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