Infrared singularities in interface growth models

Journal Article · Wed Jan 31 23:00:00 EST 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.53.R1313· OSTI ID:278682

Bhattacharjee, J K; Das Sarma, S; Kotlyar, R ^[1]

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1. Department of Physics, University of Maryland, College Park, Maryland 20742-4111 (United States)

We show that nonlinear interface growth models with roughness exponent {alpha}{ge}1 have intrinsic nonperturbative infrared singularities which are inaccessible to the usual dynamical renormalization group analysis. We argue that these infrared singularities give rise to a strong-coupling problem in 1+1 dimensions and provide the underlying reason for the difference between local and global dynamic scaling in these models. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 278682
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 2 Vol. 53; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRITICAL EXPONENTS
CRITICAL TEMPERATURE
DEPOSITION
FILM GROWTH
INTERFACES
MOLECULAR BEAM EPITAXY
NONEQUILIBRIUM
NONLINEAR PROBLEMS
SCALING LAWS
SINGULARITY
THIN FILMS
TURBULENCE