2002/02/25 by Farhad Shahbazi, F. Shahbazi, A. A. Masoudi +4
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Condensed Matter (cond-mat) #FOS: Physical sciences #Fractional Differential Equations Solutions #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.cond-mat/0202444
19 pages, latex, two figures, corrected typos
openalex publication_date 2002/02/25 · arxiv created 2002/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.