Physics of the Solid State

, Volume 58, Issue 2, pp 346–350 | Cite as

Ground state of a periodic elastic atomic chain in an arbitrary periodic potential

  • A. K. Abkaryan
  • A. Yu. Babushkin
  • B. S. Dobronets
  • V. S. Krasikov
  • A. N. FilonovEmail author
Phase Transitions


The ground state of a periodic elastic atomic chain in a periodic potential has been investigated. The tensile strain and potential energy of the chain have been found as functions of the disproportion parameter. Exact solutions differ from those found in the continuous approximation by the P symmetry and smaller regions of commensurate phases.


Tensile Strain Periodic Potential Continuous Approximation Boundary Atom Internal Atom 
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Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  • A. K. Abkaryan
    • 1
  • A. Yu. Babushkin
    • 1
  • B. S. Dobronets
    • 1
  • V. S. Krasikov
    • 1
  • A. N. Filonov
    • 2
    Email author
  1. 1.Institute of Space and Information TechnologiesSiberian Federal UniversityKrasnoyarskRussia
  2. 2.Institute of Nonferrous Metals and Materials ScienceSiberian Federal UniversityKrasnoyarskRussia

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