Dynamical frictional phenomena in an incommensurate two-chain model

Details Dynamical frictional phenomena in an incommensurate two-chain model Dynamical frictional phenomena in an incommensurate two-chain model

1997-09-04

arxiv.org/abs/cond-mat/9709050v1

Physics

Condensed Matter

Statistical Mechanics

RevTex, 9 pages, 7 PostScript figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.56.13932

Dynamical frictional phenomena are studied theoretically in a two-chain model with incommensurate structure. A perturbation theory with respect to the interchain interaction reveals the contributions from phonons excited in each chain to the kinetic frictional force. The validity of the theory is verified in the case of weak interaction by comparing with numerical simulation. The velocity and the interchain interaction dependences of the lattice structure are also investigated. It is shown that peculiar breaking of analyticity states appear, which is characteristic to the two-chain model. The range of the parameters in which the two-chain model is reduced to the Frenkel-Kontorova model is also discussed.

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