Intermittency of height fluctuations in stationary state of the Kardar-Parisi-Zhang equation with infinitesimal surface tension in1+1dimensions

S. M. A. Tabei, A. Bahraminasab, A. A. Masoudi, S. S. Mousavi, M. Reza Rahimi Tabar
2004 Physical Review E  
The Kardar-Parisi-Zhang (KPZ) equation with infinitesimal surface tension, dynamically develops sharply connected valley structures within which the height derivative is not continuous. We discuss the intermittency issue in the problem of stationary state forced KPZ equation in 1+1--dimensions. It is proved that the moments of height increments $C_a = < | h (x_1) - h (x_2) |^a > $ behave as $ |x_1 -x_2|^{\xi_a}$ with $\xi_a = a$ for length scales $|x_1-x_2| << \sigma$. The length scale $\sigma$
more » ... ngth scale $\sigma$ is the characteristic length of the forcing term. We have checked the analytical results by direct numerical simulation.
doi:10.1103/physreve.70.031101 pmid:15524500 fatcat:uoa2gpxe4fgs7dvirw7t5okn5y