Soluble Infinite-Range Model of Kinetic Roughening

Details Soluble Infinite-Range Model of Kinetic Roughening Soluble Infinite-Range Model of Kinetic Roughening

1996-02-06

arxiv.org/abs/cond-mat/9602032v1

Phys. Rev. Lett. 76, 2750 (1996)

Physics

Condensed Matter

13 pages, revtex, 1 postscript figure

Scientific paper

10.1103/PhysRevLett.76.2750

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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