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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. Driven probe particle dynamics in a bubble forming system
   C. Reichhardt and C.J.O. Reichhardt
   We numerically examine the dynamics of a probe particle driven at a constant force through an assembly of particles with competing long-range repulsion and short-range attraction that forms a bubble or stripe state. In the bubble regime, we identify several distinct types of motion, including an elastic or pinned regime where the probe particle remains inside a bubble and drags all other bubbles with it. There is also a plastic bubble phase where the bubble in which the probe particle is trapped is able to move past the adjacent bubbles. At larger drives, there is a breakthrough regime where the probe particle jumps from bubble to bubble, and in some cases, can induce correlated rotations or plastic rearrangements of the particles within the bubbles. At the highest drives, the probe particle moves sufficiently rapidly that the background particles undergo only small distortions. The distinctive dynamic flow states and the transitions between them are accompanied by signatures in the effective drag on the driven particle, jumps in the velocity-force curves, and changes in the time-dependent velocity fluctuations. We map the dynamic phase diagram for this system for varied interaction lengths, bubble sizes, and densities. arXiv
   

Papers:

1. Active microrheology and dynamic phases for pattern forming systems with competing interactions
   C. Reichhardt and C.J.O. Reichhardt
   Phys. Rev. E 111, 055406 (2025). arXiv
   

   
   

2. 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
   Phys. Rev. E 111, 054119 (2025). arXiv
   

   
   

3. Stripe and bubble ratchets on asymmetric substrates
   C. Reichhardt and C.J.O. Reichhardt
   Phys. Rev. Res. 6, 043290 (2024). arXiv
   

   
   

4. 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
   

   
   

5. Sliding dynamics for bubble phases on periodic modulated substrates
   C. Reichhardt and C.J.O. Reichhardt
   Phys. Rev. Res. 6, 023116 (2024). arXiv
   
   
6. 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

   
   

7. 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
   

   
   

8. 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).
   

   
   

9. 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).
   

   
   

10. 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

    
    

11. 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).
    

    
    

12. 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).
    

    
    

13. 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

    
    

14. 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

    
    

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

    
    

16. 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).
    

    
    

17. 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

    
    

18. 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

    
    

19. 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

    
    

20. 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

    
    

21. 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

    
    

22. 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

    
    

23. 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