Methods of calculation of a friction coefficient: Application to nanotubes

被引：94
作者：
Servantie, J [1 ]
Gaspard, P [1 ]
机构：
[1] Univ Libre Brussels, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium
来源：
PHYSICAL REVIEW LETTERS | 2003年 / 91卷 / 18期
关键词：
D O I：
10.1103/PhysRevLett.91.185503
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter we develop theoretical and numerical methods to calculate the dynamic friction coefficient. The theoretical method is based on an adiabatic approximation which allows us to express the dynamic friction coefficient in terms of the time integral of the autocorrelation function of the force between both sliding objects. The motion of the objects and the autocorrelation function can be numerically calculated by molecular-dynamics simulations. We have successfully applied these methods to the evaluation of the dynamic friction coefficient of the relative motion of two concentric carbon nanotubes. The dynamic friction coefficient is shown to increase with the temperature.
引用
收藏
页码：185503 / 185503
页数：4
相关论文
共 12 条
  • [1] CHAOTIC CLASSICAL AND HALF-CLASSICAL ADIABATIC REACTIONS - GEOMETRIC MAGNETISM AND DETERMINISTIC FRICTION
    BERRY, MV
    ROBBINS, JM
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1993, 442 (1916): : 659 - 672
  • [2] EMPIRICAL POTENTIAL FOR HYDROCARBONS FOR USE IN SIMULATING THE CHEMICAL VAPOR-DEPOSITION OF DIAMOND FILMS
    BRENNER, DW
    [J]. PHYSICAL REVIEW B, 1990, 42 (15): : 9458 - 9471
  • [3] Low-friction nanoscale linear bearing realized from multiwall carbon nanotubes
    Cumings, J
    Zettl, A
    [J]. SCIENCE, 2000, 289 (5479) : 602 - 604
  • [4] Goldstein H., 2002, CLASSICAL MECH
  • [5] Quantized phonon spectrum of single-wall carbon nanotubes
    Hone, J
    Batlogg, B
    Benes, Z
    Johnson, AT
    Fischer, JE
    [J]. SCIENCE, 2000, 289 (5485) : 1730 - 1733
  • [6] MULTIPLE-TIME-SCALE APPROACH TO ERGODIC ADIABATIC SYSTEMS - ANOTHER LOOK
    JARZYNSKI, C
    [J]. PHYSICAL REVIEW LETTERS, 1993, 71 (06) : 839 - 842
  • [7] Smoothest bearings: Interlayer sliding in multiwalled carbon nanotubes
    Kolmogorov, AN
    Crespi, VH
    [J]. PHYSICAL REVIEW LETTERS, 2000, 85 (22) : 4727 - 4730
  • [8] Molecular-dynamics simulations of carbon nanotubes as gigahertz oscillators
    Legoas, SB
    Coluci, VR
    Braga, SF
    Coura, PZ
    Dantas, SO
    Galvao, DS
    [J]. PHYSICAL REVIEW LETTERS, 2003, 90 (05) : 4
  • [9] THE SHAPE OF LARGE SINGLE-SHELL AND MULTIPLE-SHELL FULLERENES
    LU, JP
    YANG, WT
    [J]. PHYSICAL REVIEW B, 1994, 49 (16): : 11421 - 11424
  • [10] Elastic properties of carbon nanotubes and nanoropes
    Lu, JP
    [J]. PHYSICAL REVIEW LETTERS, 1997, 79 (07) : 1297 - 1300
12