Random organization in periodically driven systems

Corté, Laurent; Chaikin, P. M.; Gollub, Jerry P.; Pine, David J.

doi:10.1038/nphys891

Cited by 373 publications

(585 citation statements)

References 23 publications

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“…Interestingly, the number of atoms with D 2 (0, T ) > 0.01 σ 2 is larger after the first cycle, indicating significant rearrangements of atoms with respect to their equilibrium positions in the annealed sample, which is followed by a steady process with smaller scattered clusters. A similar trend with the initial decrease of the number of rearrangements with large irreversible displacements was observed in periodically sheared suspensions below the strain threshold [21].…”

Section: Resultssupporting

confidence: 78%

Collective nonaffine displacements in amorphous materials during large-amplitude oscillatory shear

Priezjev

2017

Phys. Rev. E

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Using molecular dynamics simulations, we study the transient response of a binary LennardJones glass subjected to periodic shear deformation. The amorphous solid is modelled as the three-dimensional Kob-Andersen binary mixture at a low temperature. The cyclic loading is applied to slowly annealed, quiescent samples, which induces irreversible particle rearrangements at large strain amplitudes, leading to stress-strain hysteresis and a drift of the potential energy towards higher values. We find that the initial response to cyclic shear near the critical strain amplitude involves disconnected clusters of atoms with large nonaffine displacements. In contrast, the amplitude of shear stress oscillations decreases after a certain number of cycles, which is accompanied by the initiation and subsequent growth of a shear band.

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Section: Resultssupporting

confidence: 78%

Collective nonaffine displacements in amorphous materials during large-amplitude oscillatory shear

Priezjev

2017

Phys. Rev. E

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“…Once it returns to that configuration, the dynamics repeats itself indefinitely. At low densities in the absorbing state, the particles follow the flow without ever making contact with one another so that the system moves back and forth along a flat direction in the energy landscape [2][3][4], and particles return to their original positions after a single shear cycle: T = 1. As the strain amplitude γ t increases beyond some value γ * t , particles can no longer avoid each other and the system undergoes a dynamical "absorbing state" transition from the absorbing phase to a phase in which the system continually visits new configurations.…”

mentioning

confidence: 99%

“…As the strain amplitude γ t increases beyond some value γ * t , particles can no longer avoid each other and the system undergoes a dynamical "absorbing state" transition from the absorbing phase to a phase in which the system continually visits new configurations. Models [3,[5][6][7][8] have linked this transition to variants of directed percolation [8][9][10], which represents a broad class of non-equilibrium phase transitions [1].…”

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confidence: 99%

Period proliferation in periodic states in cyclically sheared jammed solids

2017

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Athermal disordered systems can exhibit a remarkable response to an applied oscillatory shear: after a relatively few shearing cycles, the system falls into a configuration that had already been visited in a previous cycle. After this point the system repeats its dynamics periodically despite undergoing many particle rearrangements during each cycle. We study the behavior of orbits as we approach the jamming point in simulations of jammed particles subject to oscillatory shear at fixed pressure and zero temperature. As the pressure is lowered, we find that it becomes more common for the system to find periodic states where it takes multiple cycles before returning to a previously visited state. Thus, there is a proliferation of longer periods as the jamming point is approached.Keywords: cyclic shearing, reversibility, memory, absorbing-state phase transition, jammingOscillatory sheared athermal particle packings or suspensions can fall into periodic "absorbing states" [1] in which the system returns to a configuration previously visited during the shearing process at the same point in the cycle. Once it returns to that configuration, the dynamics repeats itself indefinitely. At low densities in the absorbing state, the particles follow the flow without ever making contact with one another so that the system moves back and forth along a flat direction in the energy landscape [2][3][4], and particles return to their original positions after a single shear cycle: T = 1. As the strain amplitude γ t increases beyond some value γ * t , particles can no longer avoid each other and the system undergoes a dynamical "absorbing state" transition from the absorbing phase to a phase in which the system continually visits new configurations. Models [3,[5][6][7][8] have linked this transition to variants of directed percolation [8][9][10], which represents a broad class of non-equilibrium phase transitions [1].Athermal glasses such as Lennard-Jones glasses, by contrast, have an extensive entropy of energy minima that are not flat [11][12][13]. At very small strain amplitudes, they exhibit elastic behavior in which they explore different configurations within the same energy minimum. As γ t increases so that the system can explore more than one minimum, one might expect the system to meander indefinitely around a hopelessly intricate energy landscape as the system is driven in an oscillatory fashion. Yet, remarkably, these systems can fall into absorbing states-they can find their way back to previously visited energy minima even as they undergo multiple particle rearrangements. Thus these systems explore many such minima [14-17] over and over again. Finally, when γ t is increased to γ * t , the system undergoes an absorbing state transition to a phase in which the system never returns to previously visited minima.In this paper we investigate the fate of absorbing states in packings of jammed spheres that can be tuned to the jamming transition, where the system loses rigidity [18,19]. Far above this transition, absorbing states...

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“…Our approach is motivated by recent studies showing that suspensions of non-Brownian, neutrally buoyant particles can undergo a dynamical phase transition from absorbing to active states when they are slowly sheared back and forth [11,12]. For a given particle volume fraction , two regimes are obtained depending on the strain amplitude 0 of the shear cycles.…”

mentioning

confidence: 99%

“…The model is based on a 2D model previously shown to capture the critical behavior of neutrally buoyant suspensions [12]. Here, we modify the model to account for sedimentation.…”

mentioning

confidence: 99%