Phys. Rev. E 70, 031101 (2004) [13 pages]Intermittency of height fluctuations in stationary state of the Kardar-Parisi-Zhang equationwith infinitesimal surface tension in 1+1 dimensions
S. M. A. Tabei1, A. Bahraminasab1, A. A. Masoudi3, S. S. Mousavi1, and M. Reza Rahimi Tabar1,2 Received 24 August 2003; published 3 September 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∣ξa with 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. ©2004 The American Physical Society
URL: http://link.aps.org/doi/10.1103/PhysRevE.70.031101 [ Abstract | Previous article | Next article | Issue 3 ] |
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