Eur. Phys. J. E (2014) 37: 112
https://doi.org/10.1140/epje/i2014-14112-4

Regular Article

On-and-off dynamics of a creeping frictional system

¹ Laboratoire de Physique, Ecole Normale Supérieure de Lyon, CNRS, Université de Lyon, 46 Allée d’Italie, 69364, Lyon cedex 07, France
² Departamento de Ingenierıa Mecánica, Facultad Regional La Plata, Universidad Tecnológica Nacional, Av. 60 esq. 124, 1900, La Plata, Argentina

^* e-mail: jean-christophe.geminard@ens-lyon.fr

Received: 15 July 2014
Revised: 27 September 2014
Accepted: 14 October 2014
Published online: 20 November 2014

Abstract

We report on the dynamics of a model frictional system submitted to minute external perturbations. The system consists of a chain of sliders connected through elastic springs that rest on an incline. By introducing cyclic expansions and contractions of the rest length of the springs, we induce the reptation of the chain. Decreasing the amplitude of the perturbation below a critical value, we observe an intermittent creep regime characterized by alternated periods of reptation (flowing state) and rest (quiescent state). A further decrease of the perturbation leads to the disappearance of the reptation. The width of the transition region between the continuous creep and the full stop (i.e., the range of excitation amplitudes where the intermittent creep is observed) is shown to depend on the difference between the static (μ _s) and the dynamic (μ _d) friction coefficients. For μ _s = μ _d the intermittent creep is not observed. Studying the statistical features of the intermittent creep regime for any given perturbation amplitude, we find that the time the system resides in each state (flowing or quiescent) suggests that: i) reptation events are uncorrelated, and ii) rest events are history dependent. We show that this latter history dependence is consistent with the aging of the stress state inside the chain of sliders during the quiescent periods.