Modeling Surface Morphology: A Finite Difference Study of Coupled Continuum Equations and the Schwoebel Barrier

Finite Difference Modeling of Surface Morphology

Authors

  • Md Mainul Islam Department of Computer Science and Engineering, Central Women’s University, Dhaka 1203, Bangladesh
  • Mohammad Majidur Rahman Department of Physics, Jagannath University, Dhaka 1100, Bangladesh
  • Ain Ul Huda Department of Physics, Jagannath University, Dhaka 1100, Bangladesh

Keywords:

k-space computations, Schwoebel barrier, surface diffusion, coupled continuum equations, molecular beam epitaxy, surface growth

Abstract

We study coupled continuum equations for surface growth using a finite difference approach, focusing on the interplay between surface diffusion, evaporation–accretion, and the Schwoebel barrier. The growth, roughness, and dynamic exponents are extracted from real-space simulations with and without the Schwoebel barrier. The results are in reasonable agreement with k-space predictions, although finite-size effects lead to a less distinct crossover regime.

Bangladesh Journal of Physics, Vol. 33, Issue 1, pp. 15 – 24, June 2026

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Published

2026-05-15

How to Cite

Islam, M. M., Rahman, M. M., & Huda, A. U. . (2026). Modeling Surface Morphology: A Finite Difference Study of Coupled Continuum Equations and the Schwoebel Barrier: Finite Difference Modeling of Surface Morphology. Bangladesh Journal of Physics, 33(1), 15-24. https://doi.org/10.3329/bjphy.v33i1.86910

Issue

Vol. 33 No. 1 (2026)

Section

Articles

License

Copyright (c) 2026 Md Mainul Islam, Mohammad Majidur Rahman, Ain Ul Huda

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Islam, M. M., Rahman, M. M., & Huda, A. U. . (2026). Modeling Surface Morphology: A Finite Difference Study of Coupled Continuum Equations and the Schwoebel Barrier: Finite Difference Modeling of Surface Morphology. Bangladesh Journal of Physics, 33(1), 15-24. https://doi.org/10.3329/bjphy.v33i1.86910