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Article
Thermal Activation in Atomic Friction: Revisiting the Theoretical Analysis
Journal of Physics:Condensed Matter
  • Yalin Dong, The University of Akron, Main Campus
  • D. Perez
  • H. Gao
  • A. Martini
Document Type
Article
Publication Date
5-29-2012
Abstract

The effect of thermal activation on atomic-scale friction is often described in the framework of the Prandtl–Tomlinson model. Accurate use of this model relies on parameters that describe the shape of the corrugation potential β and the transition attempt frequency f0. We show that the commonly used form of β for a sinusoidal corrugation potential can lead to underestimation of friction, and that the attempt frequency is not, as is usually assumed, a constant value, but rather varies as the energy landscape evolves. We partially resolve these issues by demonstrating that numerical results can be captured by a model with a fitted β and using harmonic transition state theory to develop a variable form of the attempt frequency. We incorporate these developments into a more accurate and generally applicable expression relating friction to temperature and velocity. Finally, by using a master equation approach, we verify the improved analytical model is accurate in its expected regime of validity.

Citation Information
Yalin Dong, D. Perez, H. Gao and A. Martini. "Thermal Activation in Atomic Friction: Revisiting the Theoretical Analysis" Journal of Physics:Condensed Matter Vol. 24 Iss. 26 (2012) p. 265001 - 265001
Available at: http://works.bepress.com/yalin_dong/42/