Microscopic dynamics of synchronization in driven colloids

Juniper, Michael P. N.; Straube, Arthur V.; Besseling, R.; Aarts, Dirk G. A. L.; Dullens, Roel P. A.

doi:10.1038/ncomms8187

Cited by 69 publications

(76 citation statements)

References 57 publications

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“…The natural frequency of the particle driven over the optical potential energy landscape by the DC component of the driving force couples to the frequency of the AC component. As we have shown previously [53], this coupling leads to dynamic mode locking. This work considers the frequency and amplitude dependence of the synchronisation, through experiments, Langevin dynamics (LD) simulations and dynamic density functional theory (DDFT).…”

Section: Introductionsupporting

confidence: 70%

“…Each colour and value of r represents a single mode locked velocity. The state diagram is formed from twisted 'Arnold Tongues' [1], where each separated region of the same colour actually represents a different dynamic mode with the same average velocity [53]. The second critical point of the 'zeroth' step appears as the effective critical driving velocity, F C,eff , below which the particle is pinned to the landscape and does not slide.…”

Section: The 'High Frequency' Theorymentioning

confidence: 99%

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Dynamic mode locking in a driven colloidal system: experiments and theory

et al. 2017

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In this article we examine the dynamics of a colloidal particle driven by a modulated force over a sinusoidal optical potential energy landscape. Coupling between the competing frequencies of the modulated drive and that of particle motion over the periodic landscape leads to synchronisation of particle motion into discrete modes. This synchronisation manifests as steps in the average particle velocity, with mode locked steps covering a range of average driving velocities. The amplitude and frequency dependence of the steps are considered, and compared to results from analytic theory, Langevin dynamics simulations, and dynamic density functional theory. Furthermore, the critical driving velocity is studied, and simulation used to extend the range of conditions accessible in experiments alone. Finally, state diagrams from experiment, simulation, and theory are used to show the extent of the dynamically locked modes in two dimensions, as a function of both the amplitude and frequency of the modulated drive.

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Section: Introductionsupporting

confidence: 70%

Section: The 'High Frequency' Theorymentioning

confidence: 99%

Dynamic mode locking in a driven colloidal system: experiments and theory

et al. 2017

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“…In the case of vortex motion in type-II superconductors, Martinoli et al reported the first observation of Shapiro steps for dc and ac driven vortices interacting with a periodic one-dimensional (1D) substrate created by periodic thickness modulations of the sample 14,15 , while similar effects were observed for vortices driven over 1D 16,17 or two-dimensional (2D) 18,19 periodic substrates. More recently, Shapiro steps have been found for ac and dc driven colloidal particles moving over a quasi-1D periodic substrate 20 .…”

Section: Introductionmentioning

confidence: 99%

Shapiro steps for skyrmion motion on a washboard potential with longitudinal and transverse ac drives

Reichhardt

2015

Phys. Rev. B

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We numerically study the behavior of two-dimensional skyrmions in the presence of a quasi-onedimensional sinusoidal substrate under the influence of externally applied dc and ac drives. In the overdamped limit, when both dc and ac drives are aligned in the longitudinal direction parallel to the direction of the substrate modulation, the velocity-force curves exhibit classic Shapiro step features when the frequency of the ac drive matches the washboard frequency that is dynamically generated by the motion of the skyrmions over the substrate, similar to previous observations in superconducting vortex systems. In the case of skyrmions, the additional contribution to the skyrmion motion from a non-dissipative Magnus force shifts the location of the locking steps to higher dc drives, and we find that the skyrmions move at an angle with respect to the direction of the dc drive. For a longitudinal dc drive and a perpendicular or transverse ac drive, the overdamped system exhibits no Shapiro steps; however, when a finite Magnus force is present we find pronounced transverse Shapiro steps along with complex two-dimensional periodic orbits of the skyrmions in the phaselocked regimes. Both the longitudinal and transverse ac drives produce locking steps whose widths oscillate with increasing ac drive amplitude. We examine the role of collective skyrmion interactions and find that additional fractional locking steps occur for both longitudinal and transverse ac drives. At higher skyrmion densities, the system undergoes a series of dynamical order-disorder transitions, with the skyrmions forming a moving solid on the phase locking steps and a fluctuating dynamical liquid in regimes between the steps.

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“…Other simulation work [26] addressed the case where the 2D sliding lattice and the periodic potential are fully matched, in addition to ratcheting conditions in mixtures. Very recently, the microscopic dynamics underlying mode locking in a colloidal model system has been recorded in a simple, yet noteworthy, 1D experimental setup [11]. In this work we study the feasibility of observing Shapiro steps under reasonably realistic conditions in 2D sliding colloid monolayers, under the wider range of conditions that can be realized experimentally.…”

Section: Introductionmentioning

confidence: 99%

Subharmonic Shapiro steps of sliding colloidal monolayers in optical lattices

Ticco

Fornasier

Manini

et al. 2016

J. Phys.: Condens. Matter

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Abstract. We investigate theoretically the possibility to observe dynamical mode locking, in the form of Shapiro steps, when a time-periodic potential or force modulation is applied to a two-dimensional (2D) lattice of colloidal particles that are dragged by an external force over an optically generated periodic potential. Here we present realistic molecular dynamics simulations of a 2D experimental setup, where the colloid sliding is realized through the motion of soliton lines between locally commensurate patches or domains, and where the Shapiro steps are predicted and analyzed. Interestingly, the jump between one step and the next is seen to correspond to a fixed number of colloids jumping from one patch to the next, across the soliton line boundary, during each AC cycle. In addition to ordinary "integer" steps, coinciding here with the synchronous rigid advancement of the whole colloid monolayer, our main prediction is the existence of additional smaller "subharmonic" steps due to localized solitonic regions of incommensurate layers executing synchronized slips, while the majority of the colloids remains pinned to a potential minimum. The current availability and wide parameter tunability of colloid monolayers makes these predictions potentially easy to access in an experimentally rich 2D geometrical configuration.

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Microscopic dynamics of synchronization in driven colloids

Cited by 69 publications

References 57 publications

Dynamic mode locking in a driven colloidal system: experiments and theory

Dynamic mode locking in a driven colloidal system: experiments and theory

Shapiro steps for skyrmion motion on a washboard potential with longitudinal and transverse ac drives

Subharmonic Shapiro steps of sliding colloidal monolayers in optical lattices

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