Master equation approach to friction at the mesoscale
arXiv:1009.2856 · doi:10.1103/PhysRevE.82.036117
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.
To be published in Physical Review E
References in corpus (6)
- Solid Friction from stick-slip to pinning and aging
- Contact mechanics: contact area and interfacial separation from small contact to full contact
- Simulations of the Static Friction Due to Adsorbed Molecules
- Friction in a solid lubricant film
- Modeling friction on a mesoscale: Master equation for the earthquake-like model
- Static Versus Dynamic Friction: The Role of Coherence
Cited by in corpus (12)
- Slow slip and the transition from fast to slow fronts in the rupture of frictional interfaces
- Dependence of kinetic friction on velocity: Master equation approach
- Friction and Nonlinear Dynamics
- On the speed of fast and slow rupture fronts along frictional interfaces
- History-dependent friction and slow slip from time-dependent microscopic junction laws studied in a statistical framework
- Collective effects at frictional interfaces
- Size scaling of static friction
- Propagation Length of Self-healing Slip Pulses at the Onset of Sliding: A Toy Model
- Aftershocks in a frictional earthquake model
- Crystalline misfit-angle implications for solid sliding
- A Markovian approach to the Prandtl-Tomlinson frictional model
- Dynamics of Tectonic Plates