А. K. Abkaryan, A. Yu. Babushkin, B. S. Dobronets, V. S. Krasikov, A. N. Filonov, “Ground state of a periodic elastic atomic chain in an arbitrary periodic potential”, Fizika Tverdogo Tela, 2016, Volume 58, Issue 2,Pages <nobr>336

This article is cited in 3 papers

Phase transitions

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

А. K. Abkaryan^a, A. Yu. Babushkin^a, B. S. Dobronets^a, V. S. Krasikov^a, A. N. Filonov^b

^a Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russia
^b Institute of Non-Ferrous Metals and Materials Science, Siberian Federal University, Krasnoyarsk, Russia

Abstract: 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.

Keywords: Tensile Strain, Periodic Potential, Continuous Approximation, Boundary Atom, Internal Atom.

Received: 23.04.2015
Revised: 28.07.2015