The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds

Ahmet Türker Tüzemen

doi:10.17776/csj.1511216

EN

The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds

Abstract

We studied the evolution of an initial surface which was sinusoidal mound shaped for Diffusion Limited (DL) regime. We supposed that there were two dimensional concentric circular steps on initial surface and attractive/repulsive interactions between these monoatomic steps. While following the surface's evolution, the equation of motion related to each step radius's change and diffusion equation have been solved. We obtained bunching and no bunching regions of studied initial surfaces in a parameter space with their scaling characteristics. Our results in this examination can be summarized as; bunching (no bunching) region expands (shrinks) with increasing of wavelength or amplitude of the initial surface. The curves separating bunching/no bunching regions scale with each other. In the case of the amplitude (wavelength) is changed, the scaling factor is (A_0⁄(A_0^' ))^(1/6) ((λ⁄λ^' )^(1/2)). When both the wavelength and amplitude of the surface are changed at the same time, the scaling factor is equal to (A_0⁄(A_0^' ))^(1/6)×(λ⁄λ^' )^(1/2).

Keywords

References

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Details

Primary Language

English

Subjects

Surface Physics

Journal Section

Research Article

Authors

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

Publication Date

September 30, 2024

Submission Date

July 5, 2024

Acceptance Date

September 12, 2024

Published in Issue

Year 2024 Volume: 45 Number: 3

DOI

https://doi.org/10.17776/csj.1511216

IZ

https://izlik.org/JA46WG65FK

Cite

RIS / Bibtex

APA

Tüzemen, A. T. (2024). The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds. Cumhuriyet Science Journal, 45(3), 609-613. https://doi.org/10.17776/csj.1511216

AMA

1.Tüzemen AT. The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds. CSJ. 2024;45(3):609-613. doi:10.17776/csj.1511216

Chicago

Tüzemen, Ahmet Türker. 2024. “The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds”. Cumhuriyet Science Journal 45 (3): 609-13. https://doi.org/10.17776/csj.1511216.

EndNote

Tüzemen AT (September 1, 2024) The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds. Cumhuriyet Science Journal 45 3 609–613.

IEEE

[1]A. T. Tüzemen, “The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds”, CSJ, vol. 45, no. 3, pp. 609–613, Sept. 2024, doi: 10.17776/csj.1511216.

ISNAD

Tüzemen, Ahmet Türker. “The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds”. Cumhuriyet Science Journal 45/3 (September 1, 2024): 609-613. https://doi.org/10.17776/csj.1511216.

JAMA

1.Tüzemen AT. The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds. CSJ. 2024;45:609–613.

MLA

Tüzemen, Ahmet Türker. “The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds”. Cumhuriyet Science Journal, vol. 45, no. 3, Sept. 2024, pp. 609-13, doi:10.17776/csj.1511216.

Vancouver

1.Ahmet Türker Tüzemen. The Investigation of Bunching and No Bunching Regions of Sinusoidal Mounds. CSJ. 2024 Sep. 1;45(3):609-13. doi:10.17776/csj.1511216