Hasnawi, Rehab N. and Saeed, Fatima H. (2026) NUMERICAL INVESTIGATION OF ADATOM-ADATOM INTERACTION EFFECTS ON SURFACE DIFFUSION DYNAMICS IN TWO-DIMENSIONAL MATERIALS. International Journal Multidisciplinary (IJMI), 3 (2). pp. 468-479. ISSN 3031-9870

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Abstract

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.

Item Type:	Article
Subjects:	A General Works > AI Indexes (General)
Depositing User:	admin eprints
Date Deposited:	15 Jun 2026 13:54
Last Modified:	15 Jun 2026 13:54
URI:	http://eprints.umsida.ac.id/id/eprint/16578

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