Logarithmic roughening in a growth process with edge evaporation

Abstract

Roughening transitions are often characterized by unusual scaling properties. As an example we investigate the roughening transition in a solid-on-solid growth process with edge evaporation [Phys. Rev. Lett. 76, 2746 (1996)], where the interface is known to roughen logarithmically with time. Performing high-precision simulations we find appropriate scaling forms for various quantities. Moreover we present a simple approximation explaining why the interface roughens logarithmically.

revtex, 6 pages, 7 eps figures

References in corpus (1)

• On generalized scaling laws with continuously varying exponents

Cited by in corpus (7)

• Universality classes in nonequilibrium lattice systems
• Clonal interference and Muller's ratchet in spatial habitats
• Nonequilibrium wetting
• Numerical study of a model for non-equilibrium wetting
• Rare beneficial mutations cannot halt Muller's ratchet in spatial populations
• Roughening transition driven by a binary spreading process
• A two-species model of a two-dimensional sandpile surface: a case of asymptotic roughening