Analyzing of the Evolution and the Scaling Properties of a Sinusoidal Mound

Ahmet Türker Tüzemen

doi:10.17776/csj.1187724

EN

Analyzing of the Evolution and the Scaling Properties of a Sinusoidal Mound

Abstract

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 τ^α (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 (A_01,A_02 ) and wavelengths (λ_1,λ_2 ) scale as (A_01⁄A_02 ) (λ_1⁄λ_2 )^3.

Keywords

References

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Details

Primary Language

English

Subjects

Classical Physics (Other)

Journal Section

Research Article

Authors

Ahmet Türker Tüzemen ^*
0000-0002-6120-6008
Türkiye

Publication Date

March 26, 2023

Submission Date

October 12, 2022

Acceptance Date

December 15, 2022

Published in Issue

Year 2023 Volume: 44 Number: 1

DOI

https://doi.org/10.17776/csj.1187724

IZ

https://izlik.org/JA85US74ET

Cite

RIS / Bibtex

APA

Tüzemen, A. T. (2023). Analyzing of the Evolution and the Scaling Properties of a Sinusoidal Mound. Cumhuriyet Science Journal, 44(1), 203-208. https://doi.org/10.17776/csj.1187724

Öz

Analyzing of the Evolution and the Scaling Properties of a Sinusoidal Mound

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite