Collective particle flow through random media

Watson, J.S.; Fisher, Daniel S.

doi:10.1103/physrevb.54.938

Cited by 28 publications

(43 citation statements)

References 58 publications

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“…For instance, Refs. [73,74] propose a model in which particles flow in a two dimensional rotated square lattice. When the number of particles present in a site is larger than a threshold, one particle is transferred to a neighboring site.…”

Section: Plastic Depinningmentioning

confidence: 99%

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: Plastic Depinningmentioning

confidence: 99%

Deblocking of interacting particle assemblies: from pinning to jamming

Miguel¹,

Andrade²,

Zapperi³

2003

Braz. J. Phys.

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“…Driven particles moving over random quenched disorder provide an ideal class of systems for studying this issue [5]. Physical realizations of such systems include vortices in type-II superconductors [6,7], driven Wigner crystals [8], magnetic bubble arrays [9], driven pattern forming systems [10], and colloids moving over random landscapes [11].…”

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confidence: 99%

Reversible to Irreversible Flow Transition in Periodically Driven Vortices

Mangan

Reichhardt

2008

Phys. Rev. Lett.

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We show that periodically driven superconducting vortices in the presence of quenched disorder exhibit a transition from reversible to irreversible flow under increasing vortex density or cycle period. This type of behavior has recently been observed for periodically sheared colloidal suspensions and we demonstrate that driven vortex systems exhibit remarkably similar behavior. We also provide evidence that the onset of irreversible behavior is a dynamical phase transition.PACS numbers: 82.70.Dd Recent experiments on periodic shearing of colloidal suspensions in a viscous media where thermal effects are negligible have shown a transition from reversible behavior to an irreversible motion as a function of increasing particle density [1,2]. The reversible and irreversible regimes were identified by measuring the net displacement of the colloids after each cycle of a periodic shear. In the reversible regime, the colloids return to their initial position at the end of each cycle, while in the irreversible regime, the colloids do not return to their starting point. A stroboscopic measurement of the displacements in the irreversible regime reveals that the colloids undergo an anisotropic random walk, with larger displacements in the shear direction. For a given colloid density, there is a threshold for the transition from reversible to irreversible behavior as a function of the strain amplitude or the distance the particles are sheared per cycle. The strain threshold decreases as the colloid concentration increases, indicating that colloid-colloid interactions play an important role in the transition. More recent modeling of this system has provided evidence that the reversible to irreversible transition is a nonequilibrium phase transition with power law divergences near the transition [3]. Other experiments on dilute sheared colloidal suspensions also indicate the importance of the particle interactions in producing irreversible or chaotic flow behaviors [4].In this work, we consider whether the general features of the reversible and irreversible behaviors observed in the sheared colloidal system can be realized in a wider class of nonequilibrium many-particle systems. Driven particles moving over random quenched disorder provide an ideal class of systems for studying this issue [5]. Physical realizations of such systems include vortices in type-II superconductors [6,7], driven Wigner crystals [8], magnetic bubble arrays [9], driven pattern forming systems [10], and colloids moving over random landscapes [11]. In the presence of strong quenched disorder, plastic flow regimes occur in these systems even in the absence of any thermal effects. In the case of vortices, it has been established that transitions from plastic flow to smectic or elastic flow states can be induced as a function of increasing dc driving force [6]. It is not known whether there could also be a reversible to irreversible flow transition in the presence of some form of periodic forcing.To address this question, we examine the specific system o...

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“…In this paper we extend work on a simple model 20,21 of point vortices in a thin film. It exhibits two phases: if the driving force is small the vortices are all trapped and there is no steady-state current, but if the force exceeds a finite threshold the vortices move in a static channel network whose configuration is determined by the pinning in the sample.…”

Section: Introductionmentioning

confidence: 91%

“…21 ͑where it was called the ''one-deep'' model͒. We briefly define it here and discuss it in more detail in Sec.…”

Section: B Modelmentioning

confidence: 99%

Dynamic critical phenomena in channel flow of driven particles in random media

Watson

Fisher

1997

Phys. Rev. B

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A simple model of the driven motion of interacting particles in a two-dimensional random medium is analyzed, focusing on the critical behavior near to the threshold that separates a static phase from a flowing phase with a steady-state current. The critical behavior is found to be surprisingly robust, being independent of whether the driving force is increased suddenly or adiabatically. Just above threshold, the flow is concentrated on a sparse network of channels, but the time scale for convergence to this fixed network diverges with a larger exponent than that for convergence of the current density to its steady-state value. This is argued to be caused by the ''dangerous irrelevance'' of dynamic particle collisions at the critical point. Possible applications to vortex motion near to the critical current in dirty thin-film superconductors are discussed.

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Collective particle flow through random media

Cited by 28 publications

References 58 publications

Deblocking of interacting particle assemblies: from pinning to jamming

Deblocking of interacting particle assemblies: from pinning to jamming

Reversible to Irreversible Flow Transition in Periodically Driven Vortices

Dynamic critical phenomena in channel flow of driven particles in random media

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