Nonlinearities in conservative growth equations

Journal Article · Thu Feb 01 00:00:00 EST 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.53.R1325· OSTI ID:278683

Kshirsagar, A K ^[1]; Ghaisas, S V ^[2]

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1. Raman Research Institute, Bangalore 560080 (India)
2. Department of Electronics Science, University of Pune, Pune 411007 (India)

Using the dynamic renormalization group technique, we analyze general nonlinearities in a conservative nonlinear growth equation with nonconserved Gaussian white noise. We show that they fall into two classes only: the Edwards-Wilkinson and Lai{endash}Das Sarma types, by explicitly computing the associated amputated two and three point functions at the first order in perturbation parameter(s). We further generalize this analysis to higher order nonlinearities and also suggest a physically meaningful geometric interpretation of the same. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 278683
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 53, Issue 2; Other Information: PBD: Feb 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
THIN FILMS
DEPOSITION
CORRELATIONS
FLUCTUATIONS
FRACTALS
INTERFACES
NONLINEAR PROBLEMS
ROUGHNESS
STATISTICAL MECHANICS
THERMODYNAMICS
CORRELATION LENGTH
CRITICAL EXPONENTS
FILM GROWTH
NONEQUILIBRIUM