Localized-diffusive and ballistic-diffusive transitions in kicked incommensurate lattices.

Phys Rev E

College of Science and Engineering, Ritsumeikan University, Noji-higashi 1-1-1, Kusatsu 525-8577, Japan.

Published: June 2023

By using the kicked Harper model, the effect of dynamical perturbations to the localized and ballistic phases in quasiperiodic lattice systems is investigated. The transition from the localized phase to diffusive phase via a critical subdiffusion t^{α} (t is time) with 0<α<1 is observed. In addition, we confirm the existence of the transition from the ballistic phase to the diffusive phase via a critical superdiffusion with 1<α<2.

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http://dx.doi.org/10.1103/PhysRevE.107.L062201DOI Listing

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Localized-diffusive and ballistic-diffusive transitions in kicked incommensurate lattices.

Phys Rev E

June 2023

College of Science and Engineering, Ritsumeikan University, Noji-higashi 1-1-1, Kusatsu 525-8577, Japan.

By using the kicked Harper model, the effect of dynamical perturbations to the localized and ballistic phases in quasiperiodic lattice systems is investigated. The transition from the localized phase to diffusive phase via a critical subdiffusion t^{α} (t is time) with 0<α<1 is observed. In addition, we confirm the existence of the transition from the ballistic phase to the diffusive phase via a critical superdiffusion with 1<α<2.

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