Dynamic Scaling of an Adsorption-Diffusion Process on Fractals
Hidetsugu Sakaguchi
TL;DR
This paper investigates the dynamic scaling behavior of an adsorption-diffusion process on fractal surfaces, comparing theoretical scaling functions with numerical simulations in one and two dimensions, revealing fracton dynamics.
Contribution
It introduces the dynamic scaling laws for adsorption-diffusion processes on fractals and demonstrates their consistency with fracton dynamics through simulations.
Findings
Dynamic scaling functions are derived for 1D and 2D systems.
The process follows fracton dynamics on fractal surfaces.
Numerical simulations confirm the theoretical scaling laws.
Abstract
A dynamic scaling of a diffusion process involving the Langmuir type adsorption is studied. We find dynamic scaling functions in one and two dimensions and compare them with direct numerical simulations, and we further study the dynamic scaling law on fractal surfaces. The adsorption-diffusion process obeys the fracton dynamics on the fractal surfaces.
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