Drift causes anomalous exponents in growth processes

Abstract

The effect of a drift term in the presence of fixed boundaries is studied for the one-dimensional Edwards-Wilkinson equation, to reveal a general mechanism that causes a change of exponents for a very broad class of growth processes. This mechanism represents a relevant perturbation and therefore is important for the interpretation of experimental and numerical results. In effect, the mechanism leads to the roughness exponent assuming the same value as the growth exponent. In the case of the Edwards-Wilkinson equation this implies exponents deviating from those expected by dimensional analysis.

4 pages, 1 figure, REVTeX; accepted for publication in PRL; added note and references

References in corpus (3)

• One dimensional drift-diffusion between two absorbing boundaries: application to granular segregation
• Anomalous aging phenomena caused by drift velocities
• In search of smooth sandpiles: the Edwards-Wilkinson equation with flow

Cited by in corpus (8)

• 25 Years of Self-Organized Criticality: Numerical Detection Methods
• The Kardar-Parisi-Zhang model of a random kinetic growth: effects of a randomly moving medium
• Anchored advected interfaces, Oslo model, and roughness at depinning
• First-passage dynamics of linear stochastic interface models: weak-noise theory and influence of boundary conditions
• The Edwards-Wilkinson equation with drift and Neumann boundary conditions
• Correlation functions and queuing phenomena in growth processes with drift
• Phase transitions in a reaction-diffusion model on a line with boundaries
• A two-species model of a two-dimensional sandpile surface: a case of asymptotic roughening