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Stochastic Modeling and Rate Theory of Atomic Friction

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Fundamentals of Friction and Wear on the Nanoscale

Part of the book series: NanoScience and Technology ((NANO))

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.

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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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Authors and Affiliations

  1. Faculty of Physics, University of Bielefeld, Bielefeld, Germany

    Mykhaylo Evstigneev & Peter Reimann

  2. Departamento de Física de la Materia Condensada, Instituto de Ciencia de Materiales de Aragón, CSIC-Universidad de Zaragoza, 50009, Zaragoza, Spain

    Juan J. Mazo

Authors
  1. Mykhaylo Evstigneev
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  2. Juan J. Mazo
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  3. Peter Reimann
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Correspondence to Mykhaylo Evstigneev .

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Editors and Affiliations

  1. Instituto Madrileño de Estudios Avanzados en Nanociencia, Madrid, Spain

    Enrico Gnecco

  2. University of Basel Department of Physics, Basel, Switzerland

    Ernst Meyer

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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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