Lane formation in 3D driven pair-ion plasmas: I Parallel External Forcing

Lane formation dynamics of driven three-dimensional pair-ion plasmas (PIP) is investigated. Extensive Langevin simulation performed to study the influence an external electric field on behaviour PIP system. In our model, one half particles are pushed into direction by force $\boldsymbol {F}_{A}$ while other pulled opposite {F}_{B}$ . We show that if and parallel, system undergoes a non-equilibrium phase transition from disordered state lane parallel with increasing strength. The lanes formed same kind moving collectively field. order parameter has been implemented detect transition. Further, we in presence time-varying particular, effect forces Unlike previously reported two-dimensional case (Sarma, et al. , Phys. Plasmas vol. 27, 2020, p. 012106; Baruah, J. Plasma 87, issue 2, 2021, 905870202), for case, spontaneous breaking not observed all values applied frequencies; however, orderness varies close critical frequency $\omega _c$ some aspects also studied magnetic field, which reveals accelerates process introduces drift perpendicular both fields.