Edwards-Wilkinson depinning transition in random Coulomb potential background

The quenched Edwards-Wilkinson growth of the 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 F similar to c approximate to 0.037 (in terms of disorder strength unit) 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 alpha w = 1.05 +/- 0.05 at the criticality, we conclude that the system is different from both Edwards-Wilkinson (EW) and Kardar-Parisi-Zhang (KPZ) universality classes. Our analysis shows therefore that making the noise long-range correlated, drives the system out of the EW universality class. The simulations on the tilted lattice show that the nonlinearity term (lambda term in the KPZ equations) goes to zero in the thermodynamic limit.

Automated summary

The study investigates the quenched Edwards-Wilkinson growth of the 1 + 1 interface in the presence of correlated random noise. It reveals a depinning transition, linear variation of velocity with time, and different exponents compared to known universality classes. By making the noise long-range correlated, the system is driven out of the Edwards-Wilkinson universality class.