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Model of Interacting Atomic Chains and Its Application to the Description of the Crowdion in an Anisotropic Crystal
Author(s) -
Landau A. I.,
Kovalev A. S.,
Kondratyuk A. D.
Publication year - 1993
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.2221790212
Subject(s) - anisotropy , generalization , chain (unit) , crystal (programming language) , physics , statistical physics , chemistry , quantum mechanics , mathematical analysis , mathematics , computer science , programming language
A new generalized Frenkel‐Kontorova (discrete sine‐Gordon) model is proposed which treats a crystal as a set of one‐dimensional atomic chains interacting with each other. Here, unlike earlier works, the model does not include the fixed field generated by an external rigid substrate. The two‐dimensional version of the model is considered, but the three‐dimensional generalization can be easily developed. On the basis of the present interacting atomic chain model a computer simulation of the crowdion (or the anticrowdion) in an anisotropic crystal is made. The calculated results completely agree with analytical results of the elasticity theory.