Solitons and exact velocity quantization of incommensurate sliders

Details Solitons and exact velocity quantization of incommensurate sliders Solitons and exact velocity quantization of incommensurate sliders

2006-11-16

arxiv.org/abs/cond-mat/0611440v2

J. Phys.: Condens. Matter 19, 305016 (2007)

Physics

Condensed Matter

Materials Science

12 pages 6 figures. Small fixup after Referee's comments. In print in J. Phys.: Condens. Matter

Scientific paper

10.1088/0953-8984/19/30/305016

We analyze in some detail the recently discovered velocity quantization phenomena in the classical motion of an idealized one-dimensional solid lubricant, consisting of a harmonic chain interposed between two periodic sliders. The ratio w = v_cm/v_ext of the chain center-of-mass velocity to the externally imposed relative velocity of the sliders is pinned to exact ``plateau'' values for wide ranges of parameters, such as sliders corrugation amplitudes, external velocity, chain stiffness and dissipation, and is strictly determined by the commensurability ratios alone. The phenomenon is caused by one slider rigidly dragging the density solitons (kinks/antikinks) that the chain forms with the other slider. Possible consequences of these results for some real systems are discussed.

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