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Intermittency of height fluctuations in stationary state of the Kardar-Parisi-Zhang equationwith infinitesimal surface tension in [Formula presented] dimensions

Tabei, S. M. A ; Sharif University of Technology | 2004

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevE.70.031101
  3. Publisher: 2004
  4. Abstract:
  5. 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 [Formula presented] dimensions. It is proved that the moments of height increments [Formula presented] behave as [Formula presented] with [Formula presented] for length scales [Formula presented]. The length scale [Formula presented] is the characteristic length of the forcing term. We have checked the analytical results by direct numerical simulation. © 2004 The American Physical Society
  6. Keywords:
  8. Source: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics ; Volume 70, Issue 3 , 2004 , Pages 13- ; 1063651X (ISSN)
  9. URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.70.031101