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Singularity Time Scale of the Kardar–Parisi–Zhang Equation in 2+1 Dimensions |
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| Authors: | F. Shahbazi A. A. Masoudi M. Reza Rahimi Tabar |
| Affiliation: | (1) Department of Physics, Sharif University of Technology, P.O. Box 11365–9161, Tehran, Iran;(2) Department of Physics, Azahara University, Tehran, 19834, Iran;(3) Department of Physics, Iran University of Science and Technology, Narmak, Tehran, 16844, Iran |
| Abstract: | A master equation for the Kardar–Parisi–Zhang (KPZ) equation in 2+1 dimensions is developed. In the fully nonlinear regime we determine 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. |
| Keywords: | surface growth Kardar– Parisi– Zhang equation probability density function |
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