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
  • [41] GLOBAL UNIVERSALITY IN THE FRENKEL-KONTOROVA MODEL
    BIHAM, O
    MUKAMEL, D
    PHYSICAL REVIEW A, 1989, 39 (10): : 5326 - 5335
  • [42] SOLUTION TO FRENKEL-KONTOROVA DISLOCATION MODEL
    HOBART, R
    CELLI, V
    JOURNAL OF APPLIED PHYSICS, 1962, 33 (01) : 60 - &
  • [43] The ground state of the Frenkel-Kontorova model
    Babushkin, A. Yu.
    Abkaryan, A. K.
    Dobronets, B. S.
    Krasikov, V. S.
    Filonov, A. N.
    PHYSICS OF THE SOLID STATE, 2016, 58 (09) : 1834 - 1845
  • [44] An unorthodox analysis of the Frenkel-Kontorova model
    Nasilowski, R
    PHYSICA A, 1996, 230 (1-2): : 266 - 284
  • [45] Gradient dynamics of tilted Frenkel-Kontorova models
    Baesens, C
    MacKay, RS
    NONLINEARITY, 1998, 11 (04) : 949 - 964
  • [46] DYNAMICS OF UNHARMONIC CHAINS IN FRENKEL-KONTOROVA MODELS
    BEKLEMISHEV, SA
    KLOCHIKHIN, VL
    FIZIKA TVERDOGO TELA, 1995, 37 (01): : 150 - 159
  • [47] MOBILITY OF A DISLOCATION IN FRENKEL-KONTOROVA MODEL
    KRATOCHVIL, J
    INDENBOM, VL
    CZECHOSLOVAK JOURNAL OF PHYSICS, 1963, 13 (11) : 814 - &
  • [48] Sliding friction in the Frenkel-Kontorova model
    Granato, E
    Baldan, MR
    Ying, SC
    PHYSICS OF SLIDING FRICTION, 1996, 311 : 103 - 118
  • [49] Collective topological dynamics in the Frenkel-Kontorova chains
    Zheng, ZG
    Hu, BB
    PHYSICAL REVIEW E, 2000, 62 (03) : 4294 - 4299
  • [50] Injection and nucleation of topological defects in the quench dynamics of the Frenkel-Kontorova model
    Chelpanova, Oksana
    Kelly, Shane P.
    Morigi, Giovanna
    Schmidt-Kaler, Ferdinand
    Marino, Jamir
    EPL, 2023, 143 (02)
12345