Competing interactions image


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:

  1. Peak effect and dynamics of stripe and pattern forming systems on a periodic one dimensional substrate
    C. Reichhardt and C.J.O. Reichhardt
    arXiv
    We examine the ordering, pinning, and dynamics of two-dimensional pattern forming systems interacting with a periodic one-dimensional substrate. In the absence of the substrate, particles with competing long-range repulsion and short-range attraction form anisotropic crystal, stripe, and bubble states. When the system is tuned across the stripe transition in the presence of a substrate, we find that there is a peak effect in the critical depinning force when the stripes align and become commensurate with the substrate. Under an applied drive, the anisotropic crystal and stripe states can exhibit soliton depinning and plastic flow. When the stripes depin plastically, they dynamically reorder into a moving stripe state that is perpendicular to the substrate trough direction. We also find that when the substrate spacing is smaller than the widths of the bubbles or stripes, the system forms pinned stripe states that are perpendicular to the substrate trough direction. The system exhibits multiple reentrant pinning effects as a function of increasing attraction, with the anisotropic crystal and large bubble states experiencing weak pinning but the stripe and smaller bubble states showing stronger pinning. We map out the different dynamic phases as a function of filling, the strength of the attractive interaction term, the substrate strength, and the drive, and demonstrate that the different phases produce identifiable features in the transport curves and particle orderings.


  2. Sliding dynamics for bubble phases on periodic modulated substrates
    C. Reichhardt and C.J.O. Reichhardt
    arXiv
    We analyze a bubble forming system composed of particles with competing long range repulsive and short range attractive interactions driven over a quasi-one-dimensional periodic substrate. We find various pinned and sliding phases as a function of substrate strength and drive amplitude. When the substrate is weak, a pinned bubble phase appears that depins elastically into a sliding bubble lattice. For stronger substrates, we find anisotropic bubbles, disordered bubbles, and stripe phases. Plastic depinning occurs via the hopping of individual particles from one bubble to the next in a pinned bubble lattice, and as the drive increases, there is a transition to a state where all of the bubbles are moving but are continuously shedding and absorbing individual particles. This is followed at high drives by a moving bubble lattice in which the particles can no longer escape their individual bubbles. The transition between the plastic and elastic sliding phases can be detected via signatures in the velocity-force curves, differential conductivity, and noise. When the bubbles shrink due to an increase in the attractive interaction term, they fit better inside the pinning troughs and become more strongly pinned, leading to a reentrant pinning phase. For weaker attractive terms, the size of the bubbles becomes greater than the width of the pinning troughs and the depinning becomes elastic with a reduced depinning threshold.

Papers:

  1. 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


  2. 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


  3. 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).


  4. 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).


  5. 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


  6. 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).


  7. 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).


  8. 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


  9. 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


  10. Commensurate and incommensurate checkerboard charge ordered states
     C. Reichhardt, C.J. Olson Reichhardt, and A.R. Bishop
    Physica C 460-462, 1178 (2007).


  11. 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).


  12. 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


  13. 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


  14. 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


  15. 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


  16. 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


  17. 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


  18. 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