J. Phys. IV France 09 (1999) Pr10-89-Pr10-90
Theoretical and numerical study of sliding friction based on the extended-Frenkel-Kontorova modelH. Matsukawa1, T. Kawaguchi2 and H. Fukuyama3
1 Department of Physics, Osaka University, Toyonaka, Osaka, Japan
2 Department of Technology, Faculty of Education, Shimane University, Matsue, Japan
3 Institute for Solid State Physics, University of Tokyo, Roppongi, Tokyo, Japan
We study sliding friction based on the extended Frenkel-Kontorova model in 1 and 2 dimensions. Aubry transition, that is, the transition between commensurate and discommensurate structures, is discussed. It turns out that the phonon gap and the maximum static frictional force varies in a fractal way as a function of the elastic constants of the system due to the complicated change of discommensurate structures. Transverse pinning in the case of 2 dimension is also studied.
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