Dynamic Scaling of Coupled Nonequilibrium Interfaces

Abstract

We propose a simple discrete model to study the nonequilibrium fluctuations of two locally coupled 1+1 dimensional systems (interfaces). Measuring numerically the tilt-dependent velocity we construct a set of stochastic continuum equations describing the fluctuations in the model The scaling predicted by the equations are studied analytically using dynamic renormalization group and compared with simulation results. When the coupling is symmetric, the well known KPZ exponents are recovered. If one of the systems is fluctuating independently, an increase in the roughness exponent is observed for the other one.

13 pages (REVTEX) + 4 figures upon request: [email protected]

Cited by in corpus (14)

• Are Steadily Moving Crystals Unstable?
• Scaling properties of driven interfaces in disordered media
• Avalanches and the Directed Percolation Depinning Model: Experiments, Simulations and Theory
• Anisotropic Scaling in Threshold Critical Dynamics of Driven Directed Lines
• Strong Phase Separation in a Model of Sedimenting Lattices
• Dynamic binding of driven interfaces in coupled ultrathin ferromagnetic layers
• Weak and strong dynamic scaling in a one-dimensional driven coupled-field model: Effects of kinematic waves
• Surfactant-Mediated Growth of Nonequilibrium Interfaces
• Novel universality classes of coupled driven diffusive systems
• Coupled non-equilibrium growth equations: Self-consistent mode coupling using vertex renormalization
• Non-Linear Stochastic Equations with Calculable Steady States
• Model of bound interface dynamics for coupled magnetic domain walls
• Active-to-absorbing state phase transition in the presence of fluctuating environments: Weak and strong dynamic scaling
• Symmetries and scaling in generalised coupled conserved Kardar-Parisi-Zhang equations