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Reversible/Irreversible Transitions

Recent experimental work identified a reversible to irreversible transition in sheared colloidal systems [D.J. Pine et al., Nature 438, 998 (2005)]. This is an example of a nonequilibrium phase transition from a fluctuating state to an absorbed state in which the fluctuations vanish and the system becomes trapped. We demonstrate that the results from the colloidal system can be generalized to a much wider class of systems of driven particle systems with quenched disorder undergoing plastic flow. In these systems, the transient times to reach steady state behavior show a power law divergence consistent with a nonequilibrium phase transition. We provide evidence that the transition falls into the class of directed percolation, and make clear predictions for the behavior of the velocity noise under cycling that can be used to identify the reversible-irreversible transition in a system which cannot be imaged directly. We also propose that plastic depinning is a true phase transition which falls into the class of absorbing phase transitions, and possibly into the class of directed or conserved directed percolation.

Preprints:

  1. Reversible to irreversible transitions for ac driven skyrmions on periodic substrates
    J.C. Bellizotti Souza, N.P. Vizarim, C.J.O. Reichhardt, C. Reichhardt, and P.A. Venegas
    Using atomistic simulations, we investigate the dynamical behavior of magnetic skyrmions in dimer and trimer molecular crystal arrangements, as well as bipartite lattices at 3/2 and 5/2 fillings, under ac driving over a square array of anisotropy defects. For low ac amplitudes, at all fillings we find reversible motion where the skyrmions return to their original positions at the end of each ac drive cycle and the diffusion is zero. We also identify two distinct irreversible regimes. The first is a translating regime in which the skyrmions form channels of flow in opposing directions and translate by one substrate lattice constant per ac drive cycle. The translating state appears in the dimer and trimer states, and produces pronounced peaks in the diffusivity in the direction perpendicular to the external drive. For larger ac amplitudes, we find chaotic irreversible motion in which the skyrmions can randomly exchange places with each other over time, producing long-time diffusive behavior both parallel and perpendicular to the ac driving direction. arXiv


Papers:

  1. Reversible, irreversible and mixed regimes for periodically driven disks in random obstacle arrays
    D. Minogue, M.R. Eskildsen, C. Reichhardt, and C.J.O. Reichhardt
    Phys. Rev. E 109, 044905 (2024). arXiv


  2. Reversible to irreversible transitions in periodic driven many-body systems and future directions for classical and quantum systems
    C. Reichhardt, I. Regev, K. Dahmen, S. Okuma, and C.J.O. Reichhardt
    Phys. Rev. Res. 5, 021001 (2023). arXiv


  3. Kibble-Zurek mechanism for nonequilibrium phase transitions in driven systems with quenched disorder
    C.J.O. Reichhardt, A. del Campo, and C. Reichhardt
    Commun. Phys. 5, 173 (2022). arXiv


  4. Noise spectra in the reversible-irreversible transition in amorphous solids under oscillatory driving
    I. Regev, C. Reichhardt, and C.J.O. Reichhardt
    Model. Sim. Mater. Sci. Eng. 27, 084004 (2019). arXiv


  5. Reversibility, pattern formation and edge transport in active chiral and passive disk mixtures
    C. Reichhardt and C.J.O. Reichhardt
    J. Chem. Phys. 150, 064905 (2019). arXiv


  6. Reversible to irreversible transitions in periodically driven skyrmion systems
    B.L. Brown, C. Reichhardt, and C.J.O. Reichhardt
    New J. Phys. 21, 013001 (2019). arXiv


  7. Crossover from clogging to jamming behaviors in heterogeneous environments
    H. Peter, A. Libal, C. Reichhardt, and C.J.O. Reichhardt
    Sci. Rep. 8, 10252 (2018). arXiv


  8. Absorbing phase transitions and dynamic freezing in running active matter systems
    C. Reichhardt and C.J. Olson Reichhardt
    Soft Matter 10, 7502 (2014). arXiv


  9. Random organization in periodically driven gliding dislocations
     C. Zhou, C.J. Olson Reichhardt, C. Reichhardt, and I. Beyerlein
    Phys. Lett. A 378, 1675 (2014). arXiv


  10. Random organization and plastic depinning
     C. Reichhardt and C.J. Olson Reichhardt
    Phys. Rev. Lett. 103, 168301 (2009). arXiv


  11. Reversible to irreversible flow transition in periodically driven vortices
     N. Mangan, C. Reichhardt, and C.J. Olson Reichhardt
    Phys. Rev. Lett. 100, 187002 (2008). arXiv

Last modified Jan 7, 2019