Topological framework for local structure analysis in condensed matter

Keywords

Topology (electrical circuits), Ideal (ethics), Complex system, Set (abstract data type), Topological defect

References

• A Geometrical Approach to the Structure Of LiquidsJ. D. Bernal — 1959
• Available states and available space: static properties that predict self-diffusivity of confined fluidsGaurav Goel, William P Krekelberg, Mark J Pond — 2009
• Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Deuxième mémoire. Recherches sur les parallélloèdres primitifs.Georges Voronoï — 1908
• VORO++: a three-dimensional voronoi cell library in C++.Chris H. Rycroft — 2009
• Theory of DislocationsJ. P. Hirth, J. Lothe — 1968
• On Fiber Diameters of Continuous MapsPeter S. Landweber, Emanuel A. Lazar, Neel Patel — 2015
• Formation of a crystal nucleus from liquidTakeshi Kawasaki, Hajime Tanaka — 2010
• Dislocation nucleation and defect structure during surface indentationCynthia L. Kelchner, Steven J. Plimpton, J. C. Hamilton — 1998
• Statistics of Voronoi cells of slightly perturbed face-centered cubic and hexagonal close-packed latticesJ.P. Troadec, A. Gervois, Luc Oger — 1998
• Crystal-melt interfacial free energies in hcp metals: A molecular dynamics study of MgD. Y. Sun, Mikhail I. Mendelev, Chandler A. Becker — 2006
• Ring-diffusion mediated homogeneous melting in the superheating regimeXian-Ming Bai, Mo Li — 2008
• Liquid Structure and Self‐DiffusionAneesur Rahman — 1966
• Fast parallel algorithms for short-range molecular dynamicsSteven J. Plimpton — 1993
• Complete topology of cells, grains, and bubbles in three-dimensional microstructuresEmanuel A. Lazar, Jeremy K. Mason, Robert MacPherson — 2012
• A more accurate two-dimensional grain growth algorithmEmanuel A. Lazar, Jeremy K. Mason, Robert MacPherson — 2010
• Story of stacking fault tetrahedraM. Kiritani — 1997
• Interaction potentials and their effect on crystal nucleation and symmetryC. S. Hsu, Aneesur Rahman — 1979
• Interatomic potentials for monoatomic metals from experimental data and ab initio calculationsY. Mishin, Diana Farkas, Michael J. Mehl — 1999
• Multiscale modelling of defect kinetics in irradiated ironChu‐Chun Fu, J. Dalla Torre, F. Willaime — 2004
• On the Maximum Order of the Automorphism Group of a Planar Triply Connected GraphLouis Weinberg — 1966

Cited by

• Unsupervised machine learning for detection of phase transitions in off-lattice systems. I. Foundations.Augusto César Pinto Carrillo — 2018
• On Fiber Diameters of Continuous MapsPeter S. Landweber, Emanuel A. Lazar, Neel Patel — 2015
• Robust structural identification via polyhedral template matchingPeter Mahler Larsen, Søren Schmidt, Jakob Schiøtz — 2016
• Effects of grain size and temperature on mechanical response of nanocrystalline copperTe‐Hua Fang, Chao-Chun Huang, Tsung-Cheng Chiang — 2016
• Describing polyhedral tilings and higher dimensional polytopes by sequence of their two-dimensional componentsKengo Nishio, Takehide Miyazaki — 2017
• A three-dimensional polyhedral unit model for grain boundary structure in fcc metalsArash Dehghan Banadaki, Srikanth Patala — 2017
• Local identification of chemical ordering: Extension, implementation, and application of the common neighbor analysis for binary systemsLei Deng, Xingming Zhang, Liang Wang — 2018
• VoroTop: Voronoi cell topology visualization and analysis toolkitEmanuel A. Lazar — 2018
• A scalable parallel framework for microstructure analysis of large-scale molecular dynamics simulations dataWU Guo-qing, Haifeng Song, De-Ye Lin — 2018
• Grain-boundary kinetics: A unified approachJian Han, Spencer L. Thomas, David J. Srolovitz — 2018
• Machine learning determination of atomic dynamics at grain boundariesTristan A. Sharp, Spencer L. Thomas, Ekin D. Cubuk — 2018
• Quantifying Grain Boundary Atomic Structures Using the Smooth Overlap of Atomic PositionsJonathan L. Priedeman — 2018
• Short-range ordering in metallic supercooled liquids and glassesJ.G. Wang, Chun Chang, Kaikai Song — 2019
• Quantifying and connecting atomic and crystallographic grain boundary structure using local environment representation and dimensionality reduction techniquesJonathan L. Priedeman, Conrad W. Rosenbrock, Oliver K. Johnson — 2018
• Continuously variable atomic structure in monatomic metallic glasses through active icosahedral dynamics below glass transition temperatureDonghua Xu, Fangzheng Chen — 2018
• Topological Characterization of Rigid-Nonrigid Transition across the Frenkel Line.Tae Jun Yoon, Min Young Ha, Emanuel A. Lazar — 2018
• Topological generalization of the rigid-nonrigid transition in soft-sphere and hard-sphere fluids.Tae Jun Yoon, Min Young Ha, Won Bo Lee — 2018
• Micro-mechanism of the effect of grain size and temperature on the mechanical properties of polycrystalline TiAlJun Ding, Yu Tian, Wang Lu-sheng — 2019
• Point-Pattern Matching Technique for Local Structural Analysis in Condensed MatterArash Dehghan Banadaki, Jason J. Maldonis, Paul M. Voyles — 2018
• The transition from order to disorder in Voronoi Diagrams with applicationsLorenzo Zaninetti — 2018

Related papers

• Deletion in Abstract Voronoi Diagrams in Expected Linear Time and Related ProblemsKolja Junginger, Evanthia Papadopoulou — 2018
• GIS-based Approximation Algorithm for Constructing Voronoi Diagrams with General GeneratorsXinsheng Wang — 2004
• Voronoi model-building genetic algorithmHisashi Shimosaka, Tomoyuki Hiroyasu, Mitsunori Miki — 2004
• A Computational Method for the Area of Weighted Voronoi RegionYouhui Zhang — 2010
• Approximating Voronoi Diagrams with Voronoi DiagramsGary L. Miller, Todd Phillips, Donald R. Sheehy — 2009
• Soft-Matter Physics Provides New Insights on Myocardial Architecture: Automatic and Quantitative Identification of Topological Defects in the Trabecular MyocardiumJohanne Auriau, Yves Usson, Pierre‐Simon Jouk — 2023
• Reconfigurable Large‐Scale Pattern Formation Driven by Topological Defect Separation in Liquid CrystalsSatoshi Aya, Péter Salamon, Nándor Éber — 2020