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

2008/02/15 by Oleg Braun, O. M. Braun, Michel Peyrard · 1 citation
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Force Microscopy Techniques and Applications #Granular flow and fluidized beds #High-pressure geophysics and materials #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.100.125501

published as Physical Review Letters 12, 100 (2008) 125501(4) · Accepted for publication by Physical Review Letters

arxiv created 2008/02/15 · openalex publication_date 2008/03/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Static versus dynamic friction: the role of coherence

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