Stick-slip motion of solids with dry friction subject to random vibrations and an external field

Details Stick-slip motion of solids with dry friction subject to random vibrations and an external field Stick-slip motion of solids with dry friction subject to random vibrations and an external field

2010-08-20

arxiv.org/abs/1008.3531v3

Nonlinearity 24, 351-372, 2011

Physics

Condensed Matter

Statistical Mechanics

v1: 23 pages, 9 figures; v2: Reference list corrected; v3: Published version, typos corrected, references added

Scientific paper

10.1088/0951-7715/24/2/001

We investigate a model for the dynamics of a solid object, which moves over a randomly vibrating solid surface and is subject to a constant external force. The dry friction between the two solids is modeled phenomenologically as being proportional to the sign of the object's velocity relative to the surface, and therefore shows a discontinuity at zero velocity. Using a path integral approach, we derive analytical expressions for the transition probability of the object's velocity and the stationary distribution of the work done on the object due to the external force. From the latter distribution, we also derive a fluctuation relation for the mechanical work fluctuations, which incorporates the effect of the dry friction.

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