标题： 主动磁旋器：记忆诱导的束缚抗磁性 显示英文标题

标题： Active magneto gyrator: Memory induced trapped diamagnetism

摘要： 我们分析地探讨了带电活性粒子在二维空间中与两个处于不同温度的热浴耦合的动力学。该粒子被限制在一个非对称的谐波势中，并且在粒子运动平面垂直方向上施加了一个恒定大小的磁场。对于这样的系统，与布朗 gyrator 不同，只要存在有限的活性和磁场，势能不对称性和温度梯度就不是旋转的关键因素。在没有势能不对称性或温度梯度的情况下，系统仅表现出顺磁行为。然而，通过调节温度梯度或势能不对称性，系统作为活性持续时间的函数可以表现出顺磁、抗磁或两种相共存的情况。有趣的是，当系统具有非平衡稳态时，磁矩消失，因此通过这些非磁点观察到磁转变。此外，当系统悬浮在一个具有有限记忆的粘弹性介质中时，它会在活性-记忆参数空间中通过一条非磁线表现出磁转变。这条非磁线对温度梯度和势能不对称性敏感。它有趣地形成一个闭合环路，环内为抗磁相，环外整个区域为顺磁相。这导致在活性-记忆参数空间的一个有限区域内出现被困的抗磁相。当温度梯度增加（或减少）时，根据势能不对称性的符号，这种相最终消失。此外，观察到通过调节系统参数，即使在违背系统平衡条件的参数范围内，也可以获得零磁矩。 显示英文摘要

摘要： We analytically explore the dynamics of a charged active particle coupled to two thermal baths kept at two different temperatures in two dimensions. The particle is confined to an asymmetric harmonic potential and a magnetic field of constant magnitude is applied perpendicular to the plane of motion of the particle. For such a system, as opposed to Brownian gyrator, the potential asymmetry and temperature gradient are not the key factors for the gyration, as long as finite activity and magnetic field are present. The system shows only a paramagnetic behavior in the absence of either potential asymmetry or temperature gradient. However, by tuning the temperature gradient or potential asymmetry, the system as a function of the duration of activity can exhibit paramagnetic, diamagnetic, or co-existence of both the phases. Interestingly, the magnetic moment vanishes for parameters for which the system possesses a non-equilibrium steady state and hence, a magnetic transition is observed through these non-magnetic points. Further, when the system is suspended in a viscoelastic medium characterized by a finite memory, it exhibits a magnetic transition in the activity-memory parameter space through a non-magnetic line. This non-magnetic line is sensitive to temperature gradient and potential asymmetry. It interestingly forms a closed loop with a diamagnetic phase inside the loop and the entire regime outside as paramagnetic. This results in the emergence of a trapped diamagnetic phase existing only within a finite regime of activity-memory parameter space. This phase eventually disappears as the temperature gradient increases (or decreases) depending on the sign of the potential asymmetry. Moreover, it is observed that by tuning the system parameters, one can obtain zero magnetic moment even for parameter ranges that defy the equilibrium condition of the system.