Abstract The consequences of coupling magnetic and elastic degrees of freedom, where spins and deformations are carried by point-like objects subject to local interactions, are studied, theoretically and by detailed numerical simulations. From the constrained Lagrangians we derive consistent equations of motion for the coupled dynamical variables. In order to probe the dynamics of such a system, we consider external perturbations, such as spin transfer torques for the magnetic part, and homogeneous stresses for the elastic part, associated to their corresponding damping. This approach is applied to the study of ultrafast switching processes in anti-ferromagnetic systems, which have recently attracted attention as candidates for anti-ferromagnetic spintronic devices. Our strategy is then checked in simple, but instructive, situations. We carried out numerical experiments to study, in particular, how the magnetostrictive coupling and external stresses affect the nature of the switching processes in a prototype anti-ferromagnetic material.

中文翻译：

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将磁弹性拉格朗日量耦合到自旋转移扭矩源

摘要 从理论上和详细的数值模拟研究了耦合磁自由度和弹性自由度的后果，其中自旋和变形由受局部相互作用影响的点状物体携带。从受约束的拉格朗日函数中，我们推导出了耦合动力变量的一致运动方程。为了探索这样一个系统的动力学，我们考虑了外部扰动，例如磁性部分的自旋转移扭矩和弹性部分的均匀应力，与它们相应的阻尼相关。这种方法用于研究反铁磁系统中的超快开关过程，最近作为反铁磁自旋电子器件的候选者引起了人们的注意。然后在简单但有指导意义的情况下检查我们的策略。