Generating large disordered stealthy hyperuniform systems with ultrahigh accuracy to determine their physical properties
Hyperuniform many-particle systems are characterized by a structure factor S(k) that is precisely zero as |k|→0; and stealthy hyperuniform systems have S(k)=0 for the finite range 0<|k|≤K, called the “exclusion region.” Through a process of collective-coordinate optimization, energy-minimizing di...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.033190 |
| _version_ | 1797210350754463744 |
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| author | Peter K. Morse Jaeuk Kim Paul J. Steinhardt Salvatore Torquato |
| author_facet | Peter K. Morse Jaeuk Kim Paul J. Steinhardt Salvatore Torquato |
| author_sort | Peter K. Morse |
| collection | DOAJ |
| description | Hyperuniform many-particle systems are characterized by a structure factor S(k) that is precisely zero as |k|→0; and stealthy hyperuniform systems have S(k)=0 for the finite range 0<|k|≤K, called the “exclusion region.” Through a process of collective-coordinate optimization, energy-minimizing disordered stealthy hyperuniform systems of moderate size have been made to high accuracy, and their novel physical properties have shown great promise. However, minimizing S(k) in the exclusion region is computationally intensive as the system size becomes large. In this paper, we present an improved methodology to generate such states using double-double precision calculations on graphical processing units (GPUs) that reduces the deviations from zero within the exclusion region by a factor of approximately 10^{30} for system sizes more than an order of magnitude larger. We further show that this ultrahigh accuracy is required to draw conclusions about their corresponding characteristics, such as the nature of the associated energy landscape and the presence or absence of Anderson localization, which might be masked, even when deviations are relatively small. |
| first_indexed | 2024-04-24T10:09:12Z |
| format | Article |
| id | doaj.art-05072135f7254d5ba49b8517568afc02 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:09:12Z |
| publishDate | 2023-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-05072135f7254d5ba49b8517568afc022024-04-12T17:34:08ZengAmerican Physical SocietyPhysical Review Research2643-15642023-09-015303319010.1103/PhysRevResearch.5.033190Generating large disordered stealthy hyperuniform systems with ultrahigh accuracy to determine their physical propertiesPeter K. MorseJaeuk KimPaul J. SteinhardtSalvatore TorquatoHyperuniform many-particle systems are characterized by a structure factor S(k) that is precisely zero as |k|→0; and stealthy hyperuniform systems have S(k)=0 for the finite range 0<|k|≤K, called the “exclusion region.” Through a process of collective-coordinate optimization, energy-minimizing disordered stealthy hyperuniform systems of moderate size have been made to high accuracy, and their novel physical properties have shown great promise. However, minimizing S(k) in the exclusion region is computationally intensive as the system size becomes large. In this paper, we present an improved methodology to generate such states using double-double precision calculations on graphical processing units (GPUs) that reduces the deviations from zero within the exclusion region by a factor of approximately 10^{30} for system sizes more than an order of magnitude larger. We further show that this ultrahigh accuracy is required to draw conclusions about their corresponding characteristics, such as the nature of the associated energy landscape and the presence or absence of Anderson localization, which might be masked, even when deviations are relatively small.http://doi.org/10.1103/PhysRevResearch.5.033190 |
| spellingShingle | Peter K. Morse Jaeuk Kim Paul J. Steinhardt Salvatore Torquato Generating large disordered stealthy hyperuniform systems with ultrahigh accuracy to determine their physical properties Physical Review Research |
| title | Generating large disordered stealthy hyperuniform systems with ultrahigh accuracy to determine their physical properties |
| title_full | Generating large disordered stealthy hyperuniform systems with ultrahigh accuracy to determine their physical properties |
| title_fullStr | Generating large disordered stealthy hyperuniform systems with ultrahigh accuracy to determine their physical properties |
| title_full_unstemmed | Generating large disordered stealthy hyperuniform systems with ultrahigh accuracy to determine their physical properties |
| title_short | Generating large disordered stealthy hyperuniform systems with ultrahigh accuracy to determine their physical properties |
| title_sort | generating large disordered stealthy hyperuniform systems with ultrahigh accuracy to determine their physical properties |
| url | http://doi.org/10.1103/PhysRevResearch.5.033190 |
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