Edwards-Wilkinson Depinning Transition in the Background of Random Coulomb Potential

Abstract

The Edwards-Wilkinson (EW) growth of 1 + 1 interface is considered in the background of the correlated random noise. We use random Coulomb potential as the background long-range correlated noise. A depinning transition is observed in a critical driving force Fc ≈ 0.37 in the vicinity of which the final velocity of the interface varies linearly with time. Our data collapse analysis for the velocity shows a crossover time t * at which the velocity is size independent. Based on a two-variable scaling analysis, we extract the exponents, which are different from all universality classes we are aware of. Especially noting that the dynamic and roughness exponents are zw = 1.55 ± 0.05, and αw = 1.05 ± 0.05 at the criticality, we conclude that the system is different from both EW and KPZ universality classes. Our analysis shows therefore that making the noise long-range-correlated, drives the system out of EW universality class. The simulations on the tilted lattice shows that the non-linearity term (λ term in the KPZ equations) goes to zero in the thermodynamic limit.