Skip to main content
Article
Intermittency of Height Fluctuations in Stationary State of the Kardar-Parisi-Zhang Equation with Infinitesimal Surface Tension in 1+1 Dimensions
Physical Review E (2004)
  • S. M. Ali Tabei, University of Northern Iowa
  • A. Bahraminasab, Sharif University of Technology
  • A. A. Masoudi, Alzahra University
  • S. S. Mousavi, Sharif University of Technology
  • M. Reza Rahimi Tabar, Sharif University of Technology
Abstract
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 x1x2ξawith ξa=a for length scales x1x2σ. The length scale σ is the characteristic length of the forcing term. We have checked the analytical results by direct numerical simulation.
Disciplines
Publication Date
September 3, 2004
DOI
http://dx.doi.org/10.1103/PhysRevE.70.031101
Citation Information
S. 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/