Parameter free scaling relation for nonequilibrium growth processes

Abstract

We discuss a parameter free scaling relation that yields a complete data collapse for large classes of nonequilibrium growth processes. We illustrate the power of this new scaling relation through various growth models, as for example the competitive growth model RD/RDSR (random deposition/random deposition with surface diffusion) and the RSOS (restricted solid-on-solid) model with different nearest-neighbor height differences, as well as through a new deposition model with temperature dependent diffusion. The new scaling relation is compared to the familiar Family-Vicsek relation and the limitations of the latter are highlighted.

4 pages, 4 figures, to appear in Physical Review E

References in corpus (3)

• Dynamic properties in a family of competitive growing models
• Universal and nonuniversal features in the crossover from linear to nonlinear interface growth
• Universal Scaling in Mixing Correlated Growth with Randomness

Cited by in corpus (9)

• Cyclic competition of four species: domains and interfaces
• Effective Edwards-Wilkinson equation for single-file diffusion
• Dynamically generated hierarchies in games of competition
• Changing growth conditions during surface growth
• Thin film growth models with long surface diffusion lengths
• Characterisation of non-equilibrium growth through global two-time quantities
• Nonuniversal effects in mixing correlated-growth processes with randomness: Interplay between bulk morphology and surface roughening
• Feedback control of surface roughness in a one-dimensional KPZ growth process
• Universal behavior for single-file diffusion on a disordered fractal