Lane formation dynamics in externally driven pair-ion plasma (PIP) particles is studied in the presence of external magnetic field using Langevin dynamics (LD) simulation. The phase diagram obtained distinguishing the no-lane and lane states is systematically determined from a study of various Coulomb coupling parameter values. A peculiar lane formation-disintegration parameter space is identified; lane formation area extended to a wide range of Coulomb coupling parameter values is observed before disappearing to a mixed phase. The different phases are identified by calculating the order parameter. This and the critical parameters are calculated directly from LD simulation. The critical electric field strength value above which the lanes are formed distinctly is obtained, and it is observed that in the presence of the external magnetic field, the PIP system requires a higher value of the electric field strength to enter into the lane formation state than that in the absence of the magnetic field. We further find out the critical value of electric field frequency beyond which the system exhibits a transition back to the disordered state and this critical frequency is found as an increasing function of the electric field strength in the presence of an external magnetic field. The movement of the lanes is also observed in a direction perpendicular to that of the applied electric and magnetic field directions, which reveals the existence of the electric field drift in the system under study. We also use an oblique force field as the external driving force, both in the presence and absence of the external magnetic field. The application of this oblique force changes the orientation of the lane structures for different applied oblique angle values.

中文翻译：

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外部磁场对驱动对离子等离子体通道形成的影响

使用朗之万动力学 (LD) 模拟在存在外部磁场的情况下研究了外部驱动的对离子等离子体 (PIP) 粒子中的通道形成动力学。通过对各种库仑耦合参数值的研究，系统地确定了区分无车道和车道状态的相图。识别出一个特殊的车道形成-解体参数空间；在消失到混合相之前观察到车道形成区域扩展到宽范围的库仑耦合参数值。通过计算顺序参数来识别不同的阶段。这个和关键参数是直接从 LD 模拟计算出来的。获得了明显形成车道的临界电场强度值，观察到在存在外部磁场的情况下，与没有磁场的情况相比，PIP 系统需要更高的电场强度值才能进入车道形成状态。我们进一步发现了电场频率的临界值，超过该临界值系统表现出向无序状态的转变，并且发现该临界频率是在存在外部磁场的情况下电场强度的增加函数。车道的运动也在垂直于施加的电场和磁场方向的方向上观察到，这揭示了所研究系统中存在电场漂移。在外部磁场存在和不存在的情况下，我们还使用斜向力场作为外部驱动力。