Strong Coupling Limit of the Kardar-Parisi-Zhang Equation in 2+1 Dimensions

Physics – Condensed Matter

Scientific paper

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19 pages, latex, two figures, corrected typos

Scientific paper

A master equation for the Kardar-Parisi-Zhang (KPZ) equation in 2+1
dimensions is developed. In the fully nonlinear regime we derive the finite
time scale of the singularity formation in terms of the characteristics of
forcing. The exact probability density function of the one point height field
is obtained correspondingly.

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