Numéro
J. Phys. IV France
Volume 09, Numéro PR10, December 1999
International Workshop on Electronic Crystals
ECRYS-99
Page(s) Pr10-89 - Pr10-90
DOI https://doi.org/10.1051/jp4:19991023
International Workshop on Electronic Crystals
ECRYS-99

J. Phys. IV France 09 (1999) Pr10-89-Pr10-90

DOI: 10.1051/jp4:19991023

Theoretical and numerical study of sliding friction based on the extended-Frenkel-Kontorova model

H. 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


Abstract
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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