Persistent homology and many-body atomic structure for medium-range order in the glass.

@article{Nakamura2015PersistentHA,
  title={Persistent homology and many-body atomic structure for medium-range order in the glass.},
  author={T. Nakamura and Y. Hiraoka and A. Hirata and Emerson G. Escolar and Y. Nishiura},
  journal={Nanotechnology},
  year={2015},
  volume={26 30},
  pages={
          304001
        }
}
  • T. Nakamura, Y. Hiraoka, +2 authors Y. Nishiura
  • Published 2015
  • Materials Science, Physics, Medicine
  • Nanotechnology
  • The characterization of the medium-range (MRO) order in amorphous materials and its relation to the short-range order is discussed. A new topological approach to extract a hierarchical structure of amorphous materials is presented, which is robust against small perturbations and allows us to distinguish it from periodic or random configurations. This method is called the persistence diagram (PD) and introduces scales to many-body atomic structures to facilitate size and shape characterization… CONTINUE READING
    57 Citations

    Figures and Topics from this paper

    Explore Further: Topics Discussed in This Paper

    Medium-Range Order in Amorphous Ices Revealed by Persistent Homology.
    • Sungyeon Hong, D. Kim
    • Materials Science, Medicine
    • Journal of physics. Condensed matter : an Institute of Physics journal
    • 2019
    • 1
    Hierarchical structures of amorphous solids characterized by persistent homology
    • 112
    • PDF
    Pore configuration landscape of granular crystallization
    • 51
    • PDF
    Structure of the simple harmonic-repulsive system in liquid and glassy states studied by the triple correlation function.
    • PDF
    Adding a novel material to the 2D toolbox
    • 4
    Finding universal structures in quantum many-body dynamics via persistent homology
    • 6
    • PDF

    References

    SHOWING 1-10 OF 69 REFERENCES
    Local topology of silica networks
    • 70
    Random packings and the structure of simple liquids. I. The geometry of random close packing
    • J. Finney
    • Mathematics
    • Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
    • 1970
    • 1,078
    Structure, odd lines and topological entropy of disorder of amorphous silicon.
    • F. Wooten
    • Mathematics, Medicine
    • Acta crystallographica. Section A, Foundations of crystallography
    • 2002
    • 18
    • PDF
    Intermediate-range order in permanently densified vitreous SiO2: A neutron-diffraction and molecular-dynamics study.
    • 202
    Structural model for amorphous silicon and germanium
    • 483
    The Bakerian Lecture, 1962 The structure of liquids
    • J. D. Bernal
    • Materials Science
    • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
    • 1964
    • 777