Master equation approach to friction at the mesoscale

Details Master equation approach to friction at the mesoscale Master equation approach to friction at the mesoscale

2010-09-15

arxiv.org/abs/1009.2856v1

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 3, 82 (2010) 036117-1-19

Physics

Condensed Matter

Statistical Mechanics

To be published in Physical Review E

Scientific paper

10.1103/PhysRevE.82.036117

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.

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