Voronoi cell analysis: The shapes of particle systems
Many physical systems can be studied as collections of particles embedded in space, often evolving in time. Natural questions arise concerning how to characterize these arrangements—are they ordered or disordered? If they are ordered, how are they ordered and what kinds of defects do they possess? V...
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| Veröffentlicht in: | American journal of physics 2022-06, Vol.90 (6), p.469-480 |
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| container_end_page | 480 |
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| container_title | American journal of physics |
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| creator | Lazar, Emanuel A. Lu, Jiayin Rycroft, Chris H. |
| description | Many physical systems can be studied as collections of particles embedded in space, often evolving in time. Natural questions arise concerning how to characterize these arrangements—are they ordered or disordered? If they are ordered, how are they ordered and what kinds of defects do they possess? Voronoi tessellations, originally introduced to study problems in pure mathematics, have become a powerful and versatile tool for analyzing countless problems in pure and applied physics. We explain the basics of Voronoi tessellations and the shapes that they produce and describe how they can be used to characterize many physical systems. |
| doi_str_mv | 10.1119/5.0087591 |
| format | Article |
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| ispartof | American journal of physics, 2022-06, Vol.90 (6), p.469-480 |
| issn | 0002-9505 1943-2909 |
| language | eng |
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| source | AIP Journals Complete |
| subjects | Applied physics computational methods convex geometry crystallographic defects disordered solids Euclidean geometries geometric topology granular materials ideal gas Mathematics teachers partial differential equations Particle size PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Space Voronoi diagrams |
| title | Voronoi cell analysis: The shapes of particle systems |
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