Strong Coupling Limit of the Kardar-Parisi-Zhang Equation in 2+1 Dimensions
classification
❄️ cond-mat
hep-th
keywords
equationdimensionskardar-parisi-zhangcharacteristicscorrespondinglycouplingdensityderive
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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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