Intermittency of Height Fluctuations in Stationary State of the Kardar-Parisi-Zhang Equation with Infinitesimal Surface Tension in 1+1 DimensionsPhysical Review E (2004)
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 Ca=⟨∣h(x1)−h(x2)∣a⟩ behave as ∣x1−x2∣ξawith ξa=a for length scales ∣x1−x2∣⪡σ. The length scale σ is the characteristic length of the forcing term. We have checked the analytical results by direct numerical simulation.
Publication DateSeptember 3, 2004
Citation InformationS. M. Ali Tabei, A. Bahraminasab, A. A. Masoudi, S. S. Mousavi, et al.. "Intermittency of Height Fluctuations in Stationary State of the Kardar-Parisi-Zhang Equation with Infinitesimal Surface Tension in 1+1 Dimensions" Physical Review E Vol. 70 Iss. 03 (2004)
Available at: http://works.bepress.com/sm-tabei/13/