On the applicability of the Frenkel-Kontorova model to describing the dynamics of vacancies in a polymeric crystal chain

Authors
Zubova, EA
Citation
Ea. Zubova, On the applicability of the Frenkel-Kontorova model to describing the dynamics of vacancies in a polymeric crystal chain, J EXP TH PH, 93(4), 2001, pp. 895-902
Citations number
33
Categorie Soggetti
Physics
Journal title
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS
ISSN journal
10637761 → ACNP
Volume
93
Issue
4
Year of publication
2001
Pages
895 - 902
Database
ISI
SICI code
1063-7761(2001)93:4<895:OTAOTF>2.0.ZU;2-Q
Abstract
The necessary conditions of the applicability of the Frenkel-Kontorova one- dimensional model [the approximation of immobile neighboring chains plus si ne-Gordon (continual) equation for nonlinear dynamics of the chain under co nsideration] to describing the dynamics of vacancies in a polymeric crystal chain are determined. It is shown that these conditions are satisfied for polyethylene crystals. The physical mechanism of model applicability limita tions is established. (C) 2001 MAIK "Nauka/Interperiodica".