Surface super-roughening driven by spatiotemporally correlated noise
arXiv:1911.10937 · doi:10.1088/1742-5468/ab74c9
Abstract
We study the simple, linear, Edwards-Wilkinson equation that describes surface growth governed by height diffusion in the presence of spatiotemporally power-law decaying correlated noise. We analytically show that the surface becomes super-rough when the noise correlations spatio/temporal range is long enough. We calculate analytically the associated anomalous exponents as a function of the noise correlation exponents. We also show that super-roughening appears exactly at the threshold point where the local slope surface field becomes rough. In addition, our results indicate that the recent numerical finding of anomalous kinetic roughing of the Kardar-Parisi-Zhang model subject to temporally correlated noise may be inherited from the linear theory.
arXiv comment5 pages, 3 figures
References in corpus (12)
- Statistical Models of Fracture
- Imbibition in Disordered Media
- Generic Dynamic Scaling in Kinetic Roughening
- Super-roughening versus intrinsic anomalous scaling of surfaces
- Scaling Approach to Calculate Critical Exponents in Anomalous Surface Roughening
- Anomalous Scaling of Fracture Surfaces
- Scaling of Local Slopes, Conservation Laws and Anomalous Roughening in Surface Growth
- Anomalous roughening of wood fractured surfaces
- Anomalous Roughening of Viscous Fluid Fronts in Spontaneous Imbibition
- Anomalous roughening of Hele-Shaw flows with quenched disorder
- Kardar-Parisi-Zhang Equation with temporally correlated noise: a non-perturbative renormalization group approach
- Faceted patterns and anomalous surface roughening driven by long-term correlated noise