Deblocking of interacting particle assemblies: from pinning to jamming

Miguel, M. Carmen; Andrade, José S.; Zapperi, Stefano

doi:10.1590/s0103-97332003000300017

Cited by 14 publications

(7 citation statements)

References 106 publications

(209 reference statements)

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“…The decrease of the initial deformation rate du/dt (and the corresponding stress rate) in the first stage can be described by Andrade's law [da Andrade, 1910] du/dt ~(t À t 0 ) Àθ (|dσ/dt| ~(t À t 0 ) Àθ ), with an exponent θ ≈ 2/3 (as shown in Figures 7a and 7b). This is in agreement with Andrade's original observations [da Andrade, 1910] and those of Miguel et al [2003].…”

Section: Stages Of Stress Relaxation Creep and The Scaling Laws In Primary And Tertiary Stagessupporting

confidence: 93%

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Predicting time‐to‐failure in rock extrapolated from secondary creep

et al. 2014

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Stress relaxation experiments are reported that culminate in energetic failure in rocks analogous to the loading cycle and subsequent localization or reactivation on brittle faults embedded in an elastic medium. Universally, rapid primary deformation arrests and transitions into a long secondary deformation phase that ultimately accelerates to catastrophic rupture. Primary deformation (u) conforms to Andrade's law as du/dt~(t c À t 0 )θ with a standard exponent of 2/3. In the long, and readily observable, secondary phase, the samples both deform and analogously shed load near linearly in time. This stress relaxation rate exhibits a robust power law dependency with time-to-rupture and exhibits the same 2/3 power law exponent observed in the primary phase. Similarly, the brittle strain energy released in the tertiary collapse scales with a normalized secondary stress relaxation rate. Together, these observations suggest a way to predict both the timing of rupture and its energetics from the observed stress (or strain) rate during the secondary relaxation stage.

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Section: Stages Of Stress Relaxation Creep and The Scaling Laws In Primary And Tertiary Stagessupporting

confidence: 93%

“…This is in agreement with Andrade's original observations [ da Andrade , ] and those of Miguel et al . [].…”

Section: Resultsmentioning

confidence: 99%

Predicting time‐to‐failure in rock extrapolated from secondary creep

et al. 2014

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“…First of all, we hope that ideas about the nature of systems where disorder and global conservation laws combine can benefit from the phase field lessons. One particular example could be the description of vortex phases in superconductors and the coarse-grained theories thereof [103,138,233,240,345,346].…”

Section: Last Outlookmentioning

confidence: 99%

Imbibition in disordered media

Alava

Dubé

Rost

2004

Advances in Physics

285

333

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The physics of liquids in porous media gives rise to many interesting phenomena, including imbibition where a viscous fluid displaces a less viscous one. Here we discuss the theoretical and experimental progress made in recent years in this field. The emphasis is on an interfacial description, akin to the focus of a statistical physics approach. Coarse-grained equations of motion have been recently presented in the literature. These contain terms that take into account the pertinent features of imbibition: non-locality and the quenched noise that arises from the random environment, fluctuations of the fluid flow and capillary forces. The theoretical progress has highlighted the presence of intrinsic length-scales that invalidate scale invariance often assumed to be present in kinetic roughening processes such as that of a two-phase boundary in liquid penetration. Another important fact is that the macroscopic fluid flow, the kinetic roughening properties, and the effective noise in the problem are all coupled. Many possible deviations from simple scaling behaviour exist, and we outline the experimental evidence. Finally, prospects for further work, both theoretical and experimental, are discussed.

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“…For both nonplastic and plastic regimes, the values of critical exponents are in agreement with the predicted values. 27,28 It is well known that when the distance between the electron layer and the substrate is smaller than the average interparticle distance r 0 , the Coulomb interaction becomes V ee ͑r͒ = e 2 ͑1−␦͒ / r +2␦e 2 d 2 / r 3 . This implies that for a metallic substrate ͑␦ =1͒, the interaction is dipolarlike.…”

Section: Resultsmentioning

confidence: 99%

Insulator-conductor behavior of a two-dimensional electron system on a helium film

2008

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We performed a Langevin molecular dynamics simulation to study the response of a two-dimensional ͑2D͒ constrained electron system on a helium film due to an external force parallel to the surface. The electron drift velocity was obtained as a function of the driven force for different values of film thickness and dielectric constants of the substrate in the low temperature regime ͑T → 0͒. We observed that the system had undergone an insulator-conductor transition after a finite depinning threshold of the driven force. This should be helpful for understanding the nonlinear dc conductivity observed in 2D systems, such as that in semiconductor heterostructures.

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Deblocking of interacting particle assemblies: from pinning to jamming

Cited by 14 publications

References 106 publications

Predicting time‐to‐failure in rock extrapolated from secondary creep

Predicting time‐to‐failure in rock extrapolated from secondary creep

Imbibition in disordered media

Insulator-conductor behavior of a two-dimensional electron system on a helium film

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