Abstract
Atomic friction involves objects whose dynamics is strongly influenced by thermal fluctuations. In stochastic modeling, one focuses on a few relevant degrees of freedom, whereas the atomistic ones are taken into account by introducing dissipation and noise. We review applications of this approach to atomic friction, namely, the basic Prandtl-Thomlinson model, some of its multidimensional generalizations, and the rate approximation, which allows one to obtain analytical results not easily accessible by other methods.
Keywords
- Friction Force
- Langevin Equation
- Slip Event
- Effective Stiffness
- Dissipative Force
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Acknowledgments
We are grateful to the Deutsche Forschungsgemeinschaft (RE 1344/7-1) and the ESF programs NATRIBO and FANAS (collaborative research project Nanoparma) for financial support. JJM acknowledges Spanish MINECO through Project N. FIS2011-25167, cofinanced by FEDER funds.
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Evstigneev, M., Mazo, J.J., Reimann, P. (2015). Stochastic Modeling and Rate Theory of Atomic Friction. In: Gnecco, E., Meyer, E. (eds) Fundamentals of Friction and Wear on the Nanoscale. NanoScience and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-10560-4_7
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