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Published 2009-12-18 Published on SciPeople2009-12-19 15:54:11 JournalJournal of Experimental and Theoretical Physics
On the Applicability of the Frenkel-Kontorova Model to Describing the Dynamics of Vacancies in a Polymeric Crystal Chain
E.A. Zubova / Elena Zubova
Journal of Experimental and Theoretical Physics vol.93, No.4, pp.895-902 (2001)
Abstract The necessary conditions of the applicability of the Frenkel-Kontorova one-dimensional model [the approximation of immobile neighboring chains plus sine-Gordon (continual) equation for nonlinear dynamics of the chain under consideration] 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 limitations is established.

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