Dynamic regimes for driven colloidal particles on a periodic substrate at commensurate and incommensurate fillings

McDermott, Danielle; Amelang, Jeff; Reichhardt, C.

doi:10.1103/physreve.88.062301

Cited by 41 publications

(32 citation statements)

References 76 publications

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“…To this end we consider an asymmetric system where a layer of small colloids is sheared with respect to (crystalline) layers of larger particles. As expected from the FK model as well as from previous, experimental [1] and theoretical [2,24,25] studies of driven monolayers, we observe moving defect structures with locally enhanced density ("kinks") or locally reduced density ("antikinks"). These kinks and antikinks correspond to soliton solutions of the continuum version of the FK model (i.e., the sine-Gordon equation).…”

Section: Introductionsupporting

confidence: 88%

Depinning and heterogeneous dynamics of colloidal crystal layers under shear flow

Gerloff¹,

Klapp²

2016

Phys. Rev. E

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Using Brownian dynamics (BD) simulations and an analytical approach we investigate the shearinduced, nonequilibrium dynamics of dense colloidal suspensions confined to a narrow slit-pore. Focusing on situations where the colloids arrange in well-defined layers with solidlike in-plane structure, the confined films display complex, nonlinear behavior such as collective depinning and local transport via density excitations. These phenomena are reminiscent of colloidal monolayers driven over a periodic substrate potential. In order to deepen this connection, we present an effective model which maps the dynamics of the shear-driven colloidal layers to the motion of a single particle driven over an effective substrate potential. This model allows to estimate the critical shear rate of the depinning transition based on the equilibrium configuration, revealing the impact of important parameters such as the slit-pore width and the interaction strength. We then turn to heterogeneous systems where a layer of small colloids is sheared with respect to bottom layers of large particles. For these incommensurate systems we find that the particle transport is dominated by density excitations resembling the so-called "kink" solutions of the Frenkel-Kontorova (FK) model. In contrast to the FK model, however, the corresponding "antikinks" do not move.

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Section: Introductionsupporting

confidence: 88%

Depinning and heterogeneous dynamics of colloidal crystal layers under shear flow

Gerloff¹,

Klapp²

2016

Phys. Rev. E

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“…Additionally, there are various methods such as optical techniques 4,5 for controlling colloidal ordering and manipulating individual colloids. Examples of phenomena that have been studied with colloids include two-dimensional melting transitions 6,7 , solid-to-solid phase transitions 8 , glassy dynamics 3 , commensurate and incommensurate phases [9][10][11][12] , depinning behaviors [13][14][15][16] , self-assembly 17,18 , and dynamic sorting [19][20][21] . It is also possible to use colloids to study plastic deformation under shear in crystalline 22 or amorphous 23 colloidal assemblies.…”

Section: Introductionmentioning

confidence: 99%

Avalanches, plasticity, and ordering in colloidal crystals under compression

McDermott

Reichhardt

2016

Phys. Rev. E

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Using numerical simulations we examine colloids with a long-range Coulomb interaction confined in a two-dimensional trough potential undergoing dynamical compression. As the depth of the confining well is increased, the colloids move via elastic distortions interspersed with intermittent bursts or avalanches of plastic motion. In these avalanches, the colloids rearrange to minimize their colloid-colloid repulsive interaction energy by adopting an average lattice constant that is isotropic despite the anisotropic nature of the compression. The avalanches take the form of shear banding events that decrease or increase the structural order of the system. At larger compressions, the avalanches are associated with a reduction of the number of rows of colloids that fit within the confining potential, and between avalanches the colloids can exhibit partially crystalline or even smectic ordering. The colloid velocity distributions during the avalanches have a non-Gaussian form with power law tails and exponents that are consistent with those found for the velocity distributions of gliding dislocations. We observe similar behavior when we subsequently decompress the system, and find a partially hysteretic response reflecting the irreversibility of the plastic events.

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“…In this case, commensuration effects arise when the number of colloids is an integer multiple of the number of potential minima, giving an integer filling factor f , where at f = 1 each trap captures a single colloidal particle. Experiments (Bechinger et al, 2001;Bohlein et al, 2012) and theoretical studies (Agra et al, 2004;Reichhardt and Olson, 2002;Šarlah et al, 2005) of colloids interacting with 2D substrates reveal a variety of novel orderings, including commensurate colloidal molecular crystals for f = 2, 3...N. When the system is away from commensuration, such as just above f = 1.0, the additional particles act like highly mobile kinks, and both simulations and experiments for colloids on 2D arrays have revealed the motion of these kinks under an applied drive (Bohlein et al, 2012;McDermott et al, 2013;Vanossi et al, 2012). Other studies of colloids have focused on the Aubry transitions that occur as a function of substrate strength (Brazda et al, 2018).…”

Section: Colloids As a Model Systemmentioning

confidence: 99%

Colloquium : Ice rule and emergent frustration in particle ice and beyond

et al. 2019

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Geometric frustration and the ice rule are two concepts that are intimately connected and widespread across condensed matter. The first refers to the inability of a system to satisfy competing interactions in the presence of spatial constraints. The second, in its more general sense, represents a prescription for the minimization of the topological charges in a constrained system. Both can lead to manifolds of high susceptibility and non-trivial, constrained disorder where exotic behaviors can appear and even be designed deliberately. In this Colloquium, we describe the emergence of geometric frustration and the ice rule in soft condensed matter. This Review excludes the extensive developments of mathematical physics within the field of geometric frustration, but rather focuses on systems of confined micro-or mesoscopic particles that emerge as a novel paradigm exhibiting spin degrees of freedom. In such systems, geometric frustration can be engineered artificially by controlling the spatial topology and geometry of the lattice, the position of the individual particle units, or their relative filling fraction. These capabilities enable the creation of novel and exotic phases of matter, and also potentially lead towards technological applications related to memory and logic devices that are based on the motion of topological defects. We review the rapid progress in theory and experiments and discuss the intimate physical connections with other frustrated systems at different length scales.

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Dynamic regimes for driven colloidal particles on a periodic substrate at commensurate and incommensurate fillings

Cited by 41 publications

References 76 publications

Depinning and heterogeneous dynamics of colloidal crystal layers under shear flow

Depinning and heterogeneous dynamics of colloidal crystal layers under shear flow

Avalanches, plasticity, and ordering in colloidal crystals under compression

Colloquium : Ice rule and emergent frustration in particle ice and beyond

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