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research article

Scaling theory for the statistics of slip at frictional interfaces

de Geus, T. W. J.  
•
Wyart, Matthieu  
December 8, 2022
Physical Review E

Slip at a frictional interface occurs via intermittent events. Understanding how these events are nucleated, can propagate, or stop spontaneously remains a challenge, central to earthquake science and tribology. In the absence of disorder, rate-and-state approaches predict a diverging nucleation length at some stress a*, beyond which cracks can propagate. Here we argue for a flat interface that disorder is a relevant perturbation to this description. We justify why the distribution of slip contains two parts: a power law corresponding to "avalanches" and a "narrow" distribution of system-spanning "fracture" events. We derive novel scaling relations for avalanches, including a relation between the stress drop and the spatial extension of a slip event. We compute the cut-off length beyond which avalanches cannot be stopped by disorder, leading to a system-spanning fracture, and successfully test these predictions in a minimal model of frictional interfaces.

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Type
research article
DOI
10.1103/PhysRevE.106.065001
Web of Science ID

WOS:000921473700006

Author(s)
de Geus, T. W. J.  
Wyart, Matthieu  
Date Issued

2022-12-08

Publisher

AMER PHYSICAL SOC

Published in
Physical Review E
Volume

106

Issue

6

Article Number

065001

Subjects

Physics, Fluids & Plasmas

•

Physics, Mathematical

•

Physics

•

stick-slip

•

gutenberg-richter

•

critical-dynamics

•

rock friction

•

sub-rayleigh

•

rupture

•

earthquakes

•

behavior

•

models

•

onset

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
PCSL  
Available on Infoscience
February 27, 2023
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/195121
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