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

被引：4
|
作者：
Zubova, EA [1 ]
机构：
[1] Russian Acad Sci, NN Semenov Chem Phys Inst, Moscow 117977, Russia
来源：
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2001年 / 93卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1134/1.1420459
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2001 MAIK "Nauka/Interperiodica".
引用
收藏
页码：895 / 902
页数：8
相关论文
共 50 条
  • [1] On the applicability of the Frenkel-Kontorova model to describing the dynamics of vacancies in a polymeric crystal chain
    E. A. Zubova
    Journal of Experimental and Theoretical Physics, 2001, 93 : 895 - 902
  • [2] On applicability of Frenkel'-Kontorova model for describing the dynamics of vacancies in chain of polymer crystal
    Zubova, E.A.
    Zhurnal Eksperimental'noj i Teoreticheskoj Fiziki, 2001, 120 (04): : 1027 - 1036
  • [3] A model for a driven Frenkel-Kontorova chain
    Quapp, Wolfgang
    Bofill, Josep Maria
    EUROPEAN PHYSICAL JOURNAL B, 2019, 92 (05):
  • [4] Sliding dynamics of the Frenkel-Kontorova model
    Strunz, T
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1995, 50 (12): : 1108 - 1112
  • [5] Dissipative dynamics of the Frenkel-Kontorova model
    Floria, LM
    Mazo, JJ
    ADVANCES IN PHYSICS, 1996, 45 (06) : 505 - 598
  • [6] Nonlinear dynamics of the Frenkel-Kontorova model
    Braun, OM
    Kivshar, YS
    PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 306 (1-2): : 1 - 108
  • [7] Dynamics of quantum discommensurations in the Frenkel-Kontorova chain
    Chelpanova, Oksana
    Kelly, Shane P.
    Schmidt-Kaler, Ferdinand
    Morigi, Giovanna
    Marino, Jamir
    PHYSICAL REVIEW B, 2024, 109 (21)
  • [8] On the sliding dynamics of the Frenkel-Kontorova model
    Strunz, T
    Elmer, FJ
    PHYSICS OF SLIDING FRICTION, 1996, 311 : 149 - 161
  • [9] Frenkel-Kontorova model of the dimerized overlayer system with vacancies
    Xu, HB
    Wang, GR
    Chen, SG
    CHINESE PHYSICS LETTERS, 2000, 17 (09) : 689 - 690
  • [10] The Frenkel-Kontorova Model
    Floría, LM
    Baesens, C
    Gómez-Gardeñes, J
    DYNAMICS OF COUPLED MAP LATTICES AND OF RELATED SPATIALLY EXTENDED SYSTEMS, 2005, 671 : 209 - 240
12345