Master equation approach to friction at the mesoscale

Oleg Braun; Michel Peyrard

Master equation approach to friction at the mesoscale

Oleg Braun ¹ Michel Peyrard ²

2 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

Abstract : At the mesoscale friction occurs through the breaking and formation of local contacts. This is often described by the earthquake-like model which requires numerical studies. We show that this phenomenon can also be described by a master equation, which can be solved analytically in some cases and provides an efficient numerical solution for more general cases. We examine the effect of temperature and aging of the contacts and discuss the statistical properties of the contacts for different situations of friction and their implications, particularly regarding the existence of stick-slip.

Keywords : Friction

Document type :

Journal articles

Domain :

Physics [physics] / Condensed Matter [cond-mat] / Statistical Mechanics [cond-mat.stat-mech]

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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00517609
Contributor : Michel Peyrard <>
Submitted on : Wednesday, September 15, 2010 - 8:45:49 AM
Last modification on : Thursday, October 18, 2018 - 8:50:03 PM
Long-term archiving on : Friday, December 2, 2016 - 2:02:25 AM

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Master equation approach to friction at the mesoscale

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Master equation approach to friction at the mesoscale

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