Journal of Natural Science Research and Review (JNSRR) · Research article · Open access
Disordered Hyperuniform States from A Phase-Field-Crystal Model with A Stochastic Characteristic Wavenumber
Nkosikhona Dlamini, Sebenzile Tsabedze, Simiso K. Mkhonta
11 November 2026 · Vol. 2, Issue 11, pp. 357-366
DOI: 10.65150/EP-jnsrr/V2E11/2026-02 (registration with Crossref in progress)
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What is this article about?
Disordered hyperuniform systems are disordered configurations that suppress density fluctuations at large length scales while lacking the conventional long-range translational order characteristic of crystals. Developing computational approaches capable of generating and dynamically studying such structures is important for understanding their formation and for designing functional disordered materials.
Article at a glance
- Published
- 11 November 2026
- Volume / issue / pages
- Vol. 2, Issue 11, pp. 357-366
- ISSN
- 3051-3766 (online) · 3051-3758 (print)
- Licence
- CC BY 4.0 — free to read and reuse with attribution
- Peer review
- Double-blind, at least two independent reviewers
- Publisher
- EP Journals Group
Abstract
Disordered hyperuniform systems are disordered configurations that suppress density fluctuations at large length scales while lacking the conventional long-range translational order characteristic of crystals. Developing computational approaches capable of generating and dynamically studying such structures is important for understanding their formation and for designing functional disordered materials. Here, we introduce and investigate a modified phase-field-crystal (PFC) model in which the characteristic wavenumber controlling the preferred lattice spacing is subjected to a spatially and temporally fluctuating perturbation. Starting from random initial conditions, the system evolves from a liquid-like state toward patterned states whose local structure remains approximately triangular while conventional long-range translational order is disrupted. The resulting structures are characterized using local number variance and pair-correlation functions. For perturbation amplitudes 0 ≤
Keywords
- disordered hyperuniformity
- phase-field crystal
- stochastic wavenumber
- pattern formation
- free-energy dynamics
- short-range order
- computational materials.
Cite this article
Nkosikhona Dlamini, Sebenzile Tsabedze, & Simiso K. Mkhonta (2026). Disordered Hyperuniform States from A Phase-Field-Crystal Model with A Stochastic Characteristic Wavenumber. Journal of Natural Science Research and Review, 2(11), 357-366. https://www.ep-journals.org/articles/disordered-hyperuniform-states-from-a-phase-field-crystal-model-with-821dcb91
@article{Nkosikhona2026,
title = {Disordered Hyperuniform States from A Phase-Field-Crystal Model with A Stochastic Characteristic Wavenumber},
author = {Nkosikhona Dlamini and Sebenzile Tsabedze and Simiso K. Mkhonta},
journal = {Journal of Natural Science Research and Review},
year = {2026},
volume = {2},
number = {11},
pages = {357-366},
url = {https://www.ep-journals.org/articles/disordered-hyperuniform-states-from-a-phase-field-crystal-model-with-821dcb91}
}Published in Journal of Natural Science Research and Review (JNSRR)
ISSN 3051-3766 (online) · 3051-3758 (print)
Questions about this article
Who wrote this article?
Nkosikhona Dlamini, Sebenzile Tsabedze, Simiso K. Mkhonta.
Where and when was it published?
In Journal of Natural Science Research and Review, Volume 2, Issue 11, pages 357-366, published by EP Journals Group on 11 November 2026.
Is this article free to read?
Yes. It is open access under a Creative Commons Attribution 4.0 (CC BY 4.0) licence, so anyone can read, share and reuse it with attribution.
What is the DOI of this article?
10.65150/EP-jnsrr/V2E11/2026-02. Registration with Crossref is in progress.
How do I cite this article?
APA: Nkosikhona Dlamini, Sebenzile Tsabedze, & Simiso K. Mkhonta (2026). Disordered Hyperuniform States from A Phase-Field-Crystal Model with A Stochastic Characteristic Wavenumber. Journal of Natural Science Research and Review, 2(11), 357-366. https://www.ep-journals.org/articles/disordered-hyperuniform-states-from-a-phase-field-crystal-model-with-821dcb91
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