Disordered Hyperuniform States from A Phase-Field-Crystal Model with A Stochastic Characteristic Wavenumber
DOI:
https://doi.org/10.65150/EP-jnsrr/V2E11/2026-02Keywords:
disordered hyperuniformity, phase-field crystal, stochastic wavenumber, pattern formation, free-energy dynamics, short-range order, computational materials.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 ≤
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Copyright (c) 2026 Nkosikhona Dlamini, Sebenzile Tsabedze, Simiso K. Mkhonta (Author)
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