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Phys. Rev. Lett. 100, 125501 (2008) [4 pages]

Modeling Friction on a Mesoscale: Master Equation for the Earthquakelike Model

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O. M. Braun*
Institute of Physics, National Academy of Sciences of Ukraine, 46 Science Avenue, 03028 Kiev, Ukraine

M. Peyrard
Ecole Normale Supérieure de Lyon, 46 Allée d’Italie, 69364 Lyon Cédex 07, France

Received 23 November 2007; published 25 March 2008

The earthquakelike model with a continuous distribution of static thresholds is used to describe the properties of solid friction. The evolution of the model is reduced to a master equation which can be solved analytically. This approach naturally describes stick-slip and smooth-sliding regimes of tribological systems within a framework which separates the calculation of the friction force from the studies of the properties of the contacts.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.125501
DOI:
10.1103/PhysRevLett.100.125501
PACS:
81.40.Pq, 46.55.+d

*obraun@iop.kiev.ua

URL: http://www.iop.kiev.ua/~obraun

Michel.Peyrard@ens-lyon.fr