NUMERICAL INVESTIGATION OF ADATOM-ADATOM INTERACTION EFFECTS ON SURFACE DIFFUSION DYNAMICS IN TWO-DIMENSIONAL MATERIALS

Rehab N. Hasnawi; Fatima H. Saeed

doi:10.61796/ijmi.v3i2.497

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Rehab N. Hasnawi
[email protected]
University of Basrah, Iraq
Fatima H. Saeed University of Basrah, Iraq

Vol. 3 No. 2 (2026): International Journal Multidisciplinary (IJMI)

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May 28, 2026

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Objective: Adatom dynamics on the surfaces of two-dimensional (2D) materials is important for catalysis, nanoscale depositions, and electronic or optoelectronic applications. In this paper, we present a numerical treatment of the two-dimensional nonlinear diffusion equation dependent on the coverage function (q) subject to Neumann boundary. Method: The adopted solution strategy is a hybrid of three techniques. The implicit Euler method is first used to discretize the time derivative leading to a second - order nonlinear partial variables. Secondly, the two dimensional is completely discretized by using second-order central difference approximations in time-finite different method giving non-linear algebraic equation. At last, an approximate solution are obtained iteratively by using Newton method. Results:
We show that adatom- adatom interactions are essential for governing surface diffusion behavior on two-dimensional, thus providing guidance for nanomaterial design and potentially nanoelectronic device engineering. Novelty: The adopted solution strategy is a hybrid of three techniques.

Hasnawi, R. N., & Saeed , F. H. (2026). NUMERICAL INVESTIGATION OF ADATOM-ADATOM INTERACTION EFFECTS ON SURFACE DIFFUSION DYNAMICS IN TWO-DIMENSIONAL MATERIALS. International Journal Multidisciplinary (IJMI), 3(2), 468–479. https://doi.org/10.61796/ijmi.v3i2.497

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