Competing long-range/short-range interactions
Two-dimensional systems in which there is a competition between
long-range repulsion and short range attraction exhibit a
remarkable variety of patterns such as stripes, bubbles,
and labyrinths.
Such systems include magnetic films,
Langmuir monolayers, polymers, gels, and water-oil mixtures.
It has been proposed that similar competing interactions
can arise in two-dimensional electron systems leading to
stripes, clumps, and liquid crystalline electron
states. Stripe and other charge-ordered phases
in metal oxides are sometimes modeled as systems with competing long
range repulsion and short range attraction.
In many of these systems quenched disorder from the underlying
substrate may be present; however, it is not known how this disorder
would affect the structure and dynamics of these systems.
Quenched disorder can strongly alter the transport properties,
producing a pinning effect in
which a finite driving force must be applied before net motion occurs.
Preprints:
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Directional locking and hysteresis in stripe and bubble forming systems on one-dimensional periodic substrates with a rotating drive
C. Reichhardt and C.J.O. Reichhardt
We examine the dynamics of a two-dimensional stripe, bubble, and crystal forming system interacting with a periodic one-dimensional substrate under an applied drive that is rotated with respect to the substrate periodicity direction x. We find that the stripes remain strongly directionally locked to the x direction for an extended range of drives before undergoing motion parallel to the drive. In some cases, the stripes break apart at the unlocking transition, but can dynamically reform into stripes aligned perpendicular to the x direction, producing hysteresis in the directional locking and unlocking transitions. In contrast, moving anisotropic crystal and bubble phases exhibit weaker directional locking and reduced or no hysteresis. The hysteresis occurs in regimes where the particle rearrangements occur and is most pronounced near the stripe phase. We also show that for varied substrate strength, substrate spacing, and particle density, a number of novel dynamical patterns can form that include a combination of stripe, bubble, and crystal morphologies.
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Active microrheology and dynamic phases for pattern forming systems with competing interactions
C. Reichhardt and C.J.O. Reichhardt
arXiv
We consider the driven dynamics of a probe particle moving through an assembly of particles with competing long-range repulsive and short-range attractive interactions, which form crystal, stripe, labyrinth, and bubble states as the ratio of attraction to repulsion is varied. We show that the probe particle exhibits a depinning-like threshold from an elastic regime, where the probe particle is trapped by interactions with the other particles, to a plastic flow regime, where the probe particle can break bonds in the surrounding medium. For a fixed particle density, the depinning threshold and sliding velocity of the probe particle vary nonmonotonically as the attraction term is increased. A velocity minimum appears near the crystal to stripe crossover, and there is a significant increase in the depinning threshold in the bubble regime when the probe particle is strongly confined inside the bubbles. For fixed attractive interaction but increasing particle density, the behavior is also nonmonotonic and there are jumps and drops in the velocity and depinning threshold corresponding to points at which the system transitions between different structures. There are also several distinct flow states that can be characterized by the amount of plastic deformation induced by the probe particle in the surrounding medium. Each flow state generates a different amount of effective drag on the probe particle, and there can be jumps in the velocity-force curve at transitions between the states. We also find that when oriented stripes are present, the probe particle can move along the stripe in an edge transport state that has a finite Hall angle.
Papers:
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Stripe and bubble ratchets on asymmetric substrates
C. Reichhardt and C.J.O. Reichhardt
Phys. Rev. Res. 6, 043290 (2024).
arXiv
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Peak effect and dynamics of stripe and pattern forming systems on a periodic one dimensional substrate
C. Reichhardt and C.J.O. Reichhardt
Phys. Rev. E 109, 054606 (2024).
arXiv
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Sliding dynamics for bubble phases on periodic modulated substrates
C. Reichhardt and C.J.O. Reichhardt
Phys. Rev. Res. 6, 023116 (2024).
arXiv
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Structural transitions and hysteresis in clump- and stripe-forming systems under
dynamic compression
D. McDermott, C.J. Olson Reichhardt, and C. Reichhardt
Soft Matter 12, 9549 (2016). arXiv
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Stripe systems with competing interactions on quasi-one-dimensional
periodic substrates
D. McDermott, C.J. Olson Reichhardt, and C. Reichhardt
Soft Matter 10, 6332 (2014). arXiv
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Ordering of colloids with competing interactions on quasi-one-dimensional
periodic substrates
C. Reichhardt, D. McDermott, and C.J. Olson Reichhardt
Proc. SPIE 9164, Optical Trapping and Optical Micromanipulation XI,
916420 (2014).
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Static and dynamic phases for magnetic vortex matter with attractive
and repulsive interactions
J.A. Drocco, C.J. Olson Reichhardt, C. Reichhardt, and A.R. Bishop
J. Phys.: Condens. Matter 25, 345703 (2013).
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Statics and dynamics of vortex matter with competing repulsive and
attractive interactions
C. Reichhardt, J. Drocco, C.J. Olson Reichhardt, and A.R. Bishop
J. Supercond. Nov. Magn. 26, 2041 (2013). arXiv
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The effect of pinning on vortex states with attractive and repulsive interactions
C. Reichhardt, J. Drocco, C.J. Olson Reichhardt, and A.R. Bishop
Physica C 479, 15 (2012).
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Statics and dynamics of wetting-dewetting transitions for particles with
attractive interactions on periodic substrates
J.A. Drocco, C. Reichhardt, C.J. Olson Reichhardt, and A.R. Bishop
Proc. SPIE 8458, Optical Trapping and Optical Micromanipulation IX,
84581J (2012).
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Anisotropic sliding dynamics, peak effect, and metastability in stripe systems
C.J. Olson Reichhardt, C. Reichhardt, and A.R. Bishop
Phys. Rev. E 83, 041501 (2011). arXiv
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Structural transitions, melting, and intermediate phases for stripe- and
clump-forming systems
C.J. Olson Reichhardt, C. Reichhardt, and A.R. Bishop
Phys. Rev. E 82, 041502 (2010). arXiv
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Commensurate and incommensurate checkerboard charge ordered states
C. Reichhardt, C.J. Olson Reichhardt, and A.R. Bishop
Physica C 460-462, 1178 (2007).
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Noise and hysteresis in charged stripe, checkerboard, and clump forming
systems
C. Reichhardt, C.J. Olson Reichhardt, and A.R. Bishop
Proc. SPIE 6600, Noise and Fluctuations in Circuits, Devices, and Materials,
66001B (2007).
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Structure and fragmentation in colloidal artificial molecules and
nuclei
C.J. Olson Reichhardt, C. Reichhardt, and A.R. Bishop
Eur. Phys. J. E 22,11 (2007). arXiv
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Hysteresis and noise in stripe- and clump- forming systems
C. Reichhardt, C.J. Olson Reichhardt, and A.R. Bishop
Europhys. Lett. 72, 444 (2005). arXiv
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Dynamics and melting of stripes, crystals, and bubbles with
quenched disorder
C.J. Olson Reichhardt, C. Reichhardt, I. Martin, and A.R. Bishop
Physica D 193, 303 (2004). arXiv
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Fibrillar templates and soft phases in systems with short-range
dipolar and long-range interactions
C.J. Olson Reichhardt, C. Reichhardt, and A.R. Bishop
Phys. Rev. Lett. 92, 016801 (2004). arXiv
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Effect of field-effect transistor geometry on charge ordering of
transition-metal oxides
C.J. Olson Reichhardt, C. Reichhardt, D.L. Smith, and A.R. Bishop
Phys. Rev. B 68, 033101 (2003). arXiv
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Dynamical ordering of driven stripe phases in quenched disorder
C. Reichhardt, C.J. Olson Reichhardt, I. Martin, and A.R. Bishop
Phys. Rev. Lett. 90, 026401 (2003). arXiv
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Depinning and dynamics of systems with competing interactions in
quenched disorder
C. Reichhardt, C.J. Olson, I. Martin, and A.R. Bishop
Europhys. Lett. 61, 221 (2003). arXiv
Last modified November 16, 2016