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On the Screening Length of Disclinations in Amorphous Structures
Author(s) -
Richter A.,
Romanov A. E.,
Pompe W.,
Vladimirov V. I.
Publication year - 1987
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221430105
Subject(s) - disclination , radius , cylinder , surface (topology) , amorphous solid , condensed matter physics , materials science , field (mathematics) , stress field , physics , geometry , crystallography , finite element method , liquid crystal , chemistry , mathematics , computer security , computer science , pure mathematics , thermodynamics
Disclinations represent the main defects beside dislocations in topologically disordered structures. The stress field and the energy of a disclination depend strongly on the boundary conditions, mostly the presence of a free surface. Stress field, self‐energy, and pair interactions of disclinations in a finite cylinder are calculated pointing out the relevance of additional interactions of disclinations with the surface, if the disclination is not positioned in the center of the cylinder. The energy of the model system is always diminished by such surface effects. Numerical calculations of the screening length in a disclination network for an amorphous structure show that a cut‐off radius only exists because of the interaction between defects. The screening length is about three times larger than the average distance between disclinations and depends on the disclination density. The cut‐off radius corresponds to the creation of internal surfaces resulting in an additional screening of defects.