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arXiv · 2104.13965

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

N. Valizadeh·M. Samadpour·H. Hamzehpour·M. N. Najafi
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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 $F_c\approx 0.37$ 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 $z_w=1.55\pm 0.05$, and $\alpha_w=1.05\pm 0.05$ 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 ($\lambda$ term in the KPZ equations) goes to zero in the thermodynamic limit.

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N. Valizadeh, M. Samadpour, H. Hamzehpour, M. N. Najafi. 2021-04-24. Edwards-Wilkinson Depinning Transition in the Background of Random Coulomb Potential. https://arxiv.org/abs/2104.13965

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