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Singularity Time Scale of the Kardar–Parisi–Zhang Equation in 2+1 Dimensions

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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.

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Authors and Affiliations

  1. Department of Physics, Sharif University of Technology, P.O. Box 11365–9161, Tehran, Iran

    F. Shahbazi & M. Reza Rahimi Tabar

  2. Department of Physics, Azahara University, Tehran, 19834, Iran

    A. A. Masoudi & M. Reza Rahimi Tabar

  3. Department of Physics, Iran University of Science and Technology, Narmak, Tehran, 16844, Iran

    M. Reza Rahimi Tabar

Authors
  1. F. Shahbazi
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  2. A. A. Masoudi
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  3. M. Reza Rahimi Tabar
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Shahbazi, F., Masoudi, A.A. & Reza Rahimi Tabar, M. Singularity Time Scale of the Kardar–Parisi–Zhang Equation in 2+1 Dimensions. Journal of Statistical Physics 112, 437–456 (2003). https://doi.org/10.1023/A:1023821922637

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  • DOI: https://doi.org/10.1023/A:1023821922637

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