Now showing items 1-3 of 3

  • Collective dynamics of random Janus oscillator networks 

    Janus oscillators have been recently introduced as a remarkably simple phase oscillator model that exhibits nontrivial dynamical patterns-such as chimeras, explosive transitions, and asymmetry-induced synchronization-that were once observed only in specifically tailored models. Here we study ensembles of Janus oscillators coupled on large homogeneous and heterogeneous networks. By virtue of the Ott-Antonsen reduction scheme, we find that the rich dynamics of Janus oscillators persists in the ...

  • Metastable Potts droplets 

    Authors:Artun, E. Can; Berker, A. Nihat
    Publisher and Date:(AMER PHYSICAL SOC, 2021-03)
    The existence and limits of metastable droplets have been calculated using finite-system renormalization-group theory, for q-state Potts models in spatial dimension d = 3. The dependence of the droplet critical sizes on magnetic field, temperature, and number of Potts states q has been calculated. The same method has also been used for the calculation of hysteresis loops across first-order phase transitions in these systems. The hysteresis loop sizes and shapes have been deduced as a function of ...

  • Metastable reverse-phase droplets within ordered phases: Renormalization-group calculation of field and temperature dependence of limiting size 

    Authors:Eren, Ege; Berker, A. Nihat
    Publisher and Date:(AMER PHYSICAL SOC, 2020)
    Metastable reverse-phase droplets are calculated by renormalization-group theory by evaluating the magnetization of a droplet under magnetic field, matching the boundary condition with the reverse phase and noting whether the reverse-phase magnetization sustains. The maximal metastable droplet size and the discontinuity across the droplet boundary are thus calculated as a function of temperature and magnetic field for the Ising model in three dimensions. The method also yields hysteresis loops for ...