标题： 非互易性下的动力学伊辛模型的精确解 显示英文标题

标题： An Exact Solution for the Kinetic Ising Model with Non-Reciprocity

摘要： 自然界中涉及非互惠相互作用的非平衡现象范围很广。 为了理解此类系统中可能出现的新行为，寻找可处理的模型是至关重要的。 为此，我们引入了一维非互惠动能伊辛模型的推广，并精确求解了它。 我们的解揭示了由非互惠性驱动的新特性，例如欠阻尼相、临界阻尼相，在这种相中，大小为$N$的系统由一个$N^{th}$阶异常点描述，以及受$N$奇偶性影响的波现象。 此外，我们在各种极限条件下研究了这些系统的低能行为，证明了在零温度下，非互惠性会导致独特的标度行为。 显示英文摘要

摘要： A wide range of non-equilibrium phenomena in nature involve non-reciprocal interactions. To understand the novel behaviors that can emerge in such systems, finding tractable models is essential. With this goal, we introduce a non-reciprocal generalization of the kinetic Ising model in one dimension and solve it exactly. Our solution uncovers novel properties driven by non-reciprocity, such as underdamped phases, critically damped phases where a system of size $N$ is described by an $N^{th}$-order exceptional point, and wave phenomena influenced by the parity of $N$. Additionally, we examine the low-energy behavior of these systems in various limits, demonstrating that non-reciprocity leads to unique scaling behavior at zero temperature.