Random surfaces from hierarchical deposition of debris with alternating rescaling factors

摘要: An analytical study of surface profiles that result from hierarchical random impact debris on the line is performed in terms logarithmic fractals theory. The deposition model extended for case time-dependent probabilities P (for positioning a hill surface) and Q digging hole) spatial rescaling factor λ. periodic solved exactly, fractal roughness profile found to be robust with respect perturbations. amplitudes associated proliferation length are compared those calculated static regime shown have nontrivial interaction. It verified amplitude repulsion, attraction, neutrality, auto-repulsion take place. transient also studied exponential decay towards asymptotic regime. Special attention devoted alternating factors, which new results derived.