Threshold critical dynamics of driven interfaces in random media

Narayan, Onuttom; Fisher, Daniel S.

doi:10.1103/physrevb.48.7030

Cited by 405 publications

(573 citation statements)

References 35 publications

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“…In most situations, however, interactions between particles should be explicitly taken into account. In this case we will still observe a depinning transition, but its quantitative and qualitative features will change [52][53][54][55][56][57][58]. It is convenient to first study an interacting particle system in the elastic approximation, in which the pinning forces are not strong enough to break the topological properties of the particle system.…”

Section: B Elastic Depinningmentioning

confidence: 99%

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Deblocking of interacting particle assemblies: from pinning to jamming

Miguel¹,

Andrade²,

Zapperi³

2003

Braz. J. Phys.

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A wide variety of interacting particle assemblies driven by an external force are characterized by a transition between a blocked and a moving phase. The origin of this deblocking transition can be traced back to the presence of either external quenched disorder, or of internal constraints. The first case belongs to the realm of the depinning transition, which, for example, is relevant for flux-lines in type II superconductors and other elastic systems moving in a random medium. The second case is usually included within the so-called jamming scenario observed, for instance, in many glassy materials as well as in plastically deforming crystals. Here we review some aspects of the rich phenomenology observed in interacting particle models. In particular, we discuss front depinning, observed when particles are injected inside a random medium from the boundary, elastic and plastic depinning in particle assemblies driven by external forces, and the rheology of systems close to the jamming transition. We emphasize similarities and differences in these phenomena.

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Section: B Elastic Depinningmentioning

confidence: 99%

“…These elastic equations are still impossible to solve exactly, but several results have been obtained using scaling theories and renormalization group calculations [52][53][54][55][56][57][58]. In the case of long-range interactions the gradients are replaced by a non-local interaction kernel and the equation becomes…”

Section: B Elastic Depinningmentioning

confidence: 99%

Deblocking of interacting particle assemblies: from pinning to jamming

Miguel¹,

Andrade²,

Zapperi³

2003

Braz. J. Phys.

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“…It was shown in Refs. [14,15] that the FRG equation, i.e. the flow equation for the running disorder correlator can be written to one-loop order as…”

Section: Model and Frg Descriptionmentioning

confidence: 99%

“…It was shown in Refs. [14,15] that the corresponding functional renormalization group (FRG) provides an adequate description of the depinning transition if one considers the non-analytic renormalized function ∆(u). It was shown only recently that the FRG can be unambiguously extended to higher loop order and that the underlying non-analytic field theory is renormalizable [16,17].…”

Section: Introductionmentioning

confidence: 99%

Universal distribution of threshold forces at the depinning transition

2006

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We study the distribution of threshold forces at the depinning transition for an elastic system of finite size, driven by an external force in a disordered medium at zero temperature. Using the functional renormalization group (FRG) technique, we compute the distribution of pinning forces in the quasi-static limit. This distribution is universal up to two parameters, the average critical force, and its width. We discuss possible definitions for threshold forces in finite-size samples. We show how our results compare to the distribution of the latter computed recently within a numerical simulation of the so-called critical configuration.

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“…As it was shown in [4][5] [6] [7], equation of motion for a domain wall without overhangs can be written in a following way…”

Section: Zero Temperaturementioning

confidence: 99%

Hysteresis mediated by a domain wall motion

Nattermann

Pokrovsky

2004

Physica A: Statistical Mechanics and its Applications

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The position of an interface (domain wall) in a medium with random pinning defects is not determined unambiguously by a current value of the driving force even in average. Based on general theory of the interface motion in a random medium we study this hysteresis, different possible shapes of domain walls and dynamical phase transitions between them. Several principal characteristics of the hysteresis, including the coercive force and the curves of dynamical phase transitions obey scaling laws and display a critical behavior in a vicinity of the mobility threshold. At finite temperature the threshold is smeared and a new range of thermally activated hysteresis appears. At a finite frequency of the driving force there exists a range of the non-adiabatic regime, in which not only the position, but also the average velocity of the domain wall displays hysteresis.

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Threshold critical dynamics of driven interfaces in random media

Cited by 405 publications

References 35 publications

Deblocking of interacting particle assemblies: from pinning to jamming

Deblocking of interacting particle assemblies: from pinning to jamming

Universal distribution of threshold forces at the depinning transition

Hysteresis mediated by a domain wall motion

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