Stick-slip statistics in atomic friction

Evstigneev M, Reimann P (2013)
Physical Review B 87(20).

Journal Article | Published | English

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Abstract
We theoretically study atomic friction experiments in the stick-slip regime within the framework of the Prandtl-Tomlinson model. We derive a differential equation describing the force probability distribution. Approximate analytical solutions of this equation are found for the asymptotic cases of high and low effective spring constant, but for arbitrary pulling velocities. Excellent accuracy of these approximate expressions is demonstrated numerically. In particular, the result for the mean force, although obtained for small spring constants, is shown to be accurate also somewhat outside of its expected validity range.
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Evstigneev M, Reimann P. Stick-slip statistics in atomic friction. Physical Review B. 2013;87(20).
Evstigneev, M., & Reimann, P. (2013). Stick-slip statistics in atomic friction. Physical Review B, 87(20).
Evstigneev, M., and Reimann, P. (2013). Stick-slip statistics in atomic friction. Physical Review B 87.
Evstigneev, M., & Reimann, P., 2013. Stick-slip statistics in atomic friction. Physical Review B, 87(20).
M. Evstigneev and P. Reimann, “Stick-slip statistics in atomic friction”, Physical Review B, vol. 87, 2013.
Evstigneev, M., Reimann, P.: Stick-slip statistics in atomic friction. Physical Review B. 87, (2013).
Evstigneev, Mykhaylo, and Reimann, Peter. “Stick-slip statistics in atomic friction”. Physical Review B 87.20 (2013).
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