Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packings
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
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2025
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| _version_ | 1866913938223923200 |
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| author | Vanoni, Carlo Kim, Jaeuk Steinhardt, Paul J. Torquato, Salvatore |
| author_facet | Vanoni, Carlo Kim, Jaeuk Steinhardt, Paul J. Torquato, Salvatore |
| contents | Stealthy hyperuniform (SHU) many-particle systems are distinguished by a structure factor that vanishes not only at zero wavenumber (as in ``standard'' hyperuniform systems) but also across an extended range of wavenumbers near the origin. We generate disordered SHU packings of identical and `nonoverlapping' spheres in $d$-dimensional Euclidean space using a modified collective-coordinate optimization algorithm that incorporates a soft-core repulsive potential between particles in addition to the standard stealthy pair potential. These SHU packings are ultradense, spanning a broad spectrum of structures depending on the stealthiness parameter $χ$. We consider two-phase media composed of hard particles derived from ultradense SHU packings embedded in a matrix phase, with varying stealthiness parameter $χ$ and packing fractions $ϕ$. Our main objective is the estimation of the dynamical physical properties of such two-phase media, namely, the effective dynamic dielectric constant and the time-dependent diffusion spreadability, which is directly related to nuclear magnetic relaxation in fluid-saturated porous media. We show through spreadability that two-phase media derived from ultradense SHU packings exhibit faster interphase diffusion due to the higher packing fractions achievable compared to media obtained without soft-core repulsion. The imaginary part of the effective dynamic dielectric constant of SHU packings vanishes at a small wavenumber, implying perfect transparency for the corresponding wavevectors. We also obtain cross-property relations between transparency characteristics and long-time behavior of the spreadability for such two-phase media. Our results demonstrate that disordered two-phase media derived from ultradense SHU packings exhibit advantageous transport and optical behaviors of both theoretical and experimental significance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_24297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packings Vanoni, Carlo Kim, Jaeuk Steinhardt, Paul J. Torquato, Salvatore Soft Condensed Matter Materials Science Statistical Mechanics Stealthy hyperuniform (SHU) many-particle systems are distinguished by a structure factor that vanishes not only at zero wavenumber (as in ``standard'' hyperuniform systems) but also across an extended range of wavenumbers near the origin. We generate disordered SHU packings of identical and `nonoverlapping' spheres in $d$-dimensional Euclidean space using a modified collective-coordinate optimization algorithm that incorporates a soft-core repulsive potential between particles in addition to the standard stealthy pair potential. These SHU packings are ultradense, spanning a broad spectrum of structures depending on the stealthiness parameter $χ$. We consider two-phase media composed of hard particles derived from ultradense SHU packings embedded in a matrix phase, with varying stealthiness parameter $χ$ and packing fractions $ϕ$. Our main objective is the estimation of the dynamical physical properties of such two-phase media, namely, the effective dynamic dielectric constant and the time-dependent diffusion spreadability, which is directly related to nuclear magnetic relaxation in fluid-saturated porous media. We show through spreadability that two-phase media derived from ultradense SHU packings exhibit faster interphase diffusion due to the higher packing fractions achievable compared to media obtained without soft-core repulsion. The imaginary part of the effective dynamic dielectric constant of SHU packings vanishes at a small wavenumber, implying perfect transparency for the corresponding wavevectors. We also obtain cross-property relations between transparency characteristics and long-time behavior of the spreadability for such two-phase media. Our results demonstrate that disordered two-phase media derived from ultradense SHU packings exhibit advantageous transport and optical behaviors of both theoretical and experimental significance. |
| title | Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packings |
| topic | Soft Condensed Matter Materials Science Statistical Mechanics |
| url | https://arxiv.org/abs/2503.24297 |