For Edwards-Wilkinson and Mullins-Herring interfaces in 1D and 2D, the rescaled height fluctuations remain Gaussian but their variance and the two-point covariance functions become geometry-dependent, confirming that flat/radial splitting is a general feature of interface universality classes.
4) equations are linear, the HDs in these classes are Gaussian, in both 1D and 2D
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Geometry dependence in linear interface growth
For Edwards-Wilkinson and Mullins-Herring interfaces in 1D and 2D, the rescaled height fluctuations remain Gaussian but their variance and the two-point covariance functions become geometry-dependent, confirming that flat/radial splitting is a general feature of interface universality classes.