论文标题
在2D ISING模型中空间传播波动的非转向素相互作用
Non-reciprocal interactions spatially propagate fluctuations in a 2D Ising model
论文作者
论文摘要
由鱼类之间的各向异性相互作用的动机，我们在2D ISING模型中实现了空间各向异性的，因此在2D ISING模型中实现了非逆性相互作用。首先，我们表明，具有非重点相互作用的模型会改变系统的临界温度与传统2D ISING模型的临界温度。此外，在这种不平衡系统中，局部对磁化的扰动表现为沿晶格的旋转状态的行进波，也可以在我们系统的平均场模型中看到。这些行进波的速度和方向性可通过非重新互动相互作用内核的方向和幅度以及系统与临界温度的接近度来控制。
Motivated by the anisotropic interactions between fish, we implement spatially anisotropic and therefore non-reciprocal interactions in the 2D Ising model. First, we show that the model with non-reciprocal interactions alters the system critical temperature away from that of the traditional 2D Ising model. Further, local perturbations to the magnetization in this out-of-equilibrium system manifest themselves as traveling waves of spin states along the lattice, also seen in a mean-field model of our system. The speed and directionality of these traveling waves are controllable by the orientation and magnitude of the non-reciprocal interaction kernel as well as the proximity of the system to the critical temperature.
