Akademik Veri Yönetim Sistemi
CUMHURIYET SCIENCE JOURNAL, cilt.44, sa.1, 2023 (Hakemli Dergi)
The evolution of an initial surface (below its roughening temperature) bounded by a sinusoidal function and consisting of concentric circular steps in two dimensions has been investigated in the Diffusion Limited (DL) regime. Assuming that there were entropic interactions between steps and the local mass transfer took place due to the surface diffusion, the solution of the diffusion equation has been obtained by using polar coordinates in two dimensions. The results obtained in this investigation with analyzing the surface height’s evolution as a function of time are as follows: The surface’s height approximately decreases as 𝜏𝛼 (𝛼≈0.35) and 𝛼 is independent of the amplitude and the wavelength of the initial surface. The variations in the heights of the surfaces which have different amplitudes (𝐴01,𝐴02) and wavelengths (𝜆1,𝜆2) scale as (𝐴01𝐴02⁄)(𝜆1𝜆2⁄)3.