AI 中文总结
该研究提出定量框架，通过非均匀转移矩阵预测有限方形磁网络中温度相关弛豫动力学势垒的产生，展示局部配位对能量景观的影响，发现通量阻塞现象，还将平衡与非平衡现象联系起来，可用于预测和设计有限受挫网络中的间歇性传输。
AI 中文摘要
我们提出了一个定量框架，用于预测有限方形磁网络中与温度相关的弛豫动力学势垒是如何产生的。通过从底层图的邻接谱制定一系列非均匀转移矩阵，我们展示了局部配位如何塑造能量景观并识别出作为通量传输瓶颈的几何区域。我们的方法预测了双峰动力学行为，其中电荷补偿流形内的长时间捕获间隔会被突然的、类似雪崩的弛豫事件打断。用胡西米树表示有限系统，我们发现四十代的低温数据坍缩到一条与幂律缩放形式一致的单一曲线上，这意味着仅边界截断就能产生尺度不变的通量停滞，类似于非热颗粒阻塞。通过采用由局部玻尔兹曼因子构建的转移概率，该框架将平衡能量景观概念与非平衡现象联系起来，包括动力学停滞和电报噪声，从而能够预测和设计有限受挫网络中的间歇性传输。
英文摘要
We present a quantitative framework for predicting how kinetic barriers governing temperature dependent relaxation arise in finite square magnetic networks. By formulating a series of non homogeneous transfer matrices from the adjacency spectrum of the underlying graph, we show how local coordination shapes the energy landscape and identifies geometric regions that act as bottlenecks for flux transport. Our approach predicts bimodal kinetic behavior, in which long intervals of trapping within charge compensated manifolds are interrupted by sudden, avalanche like relaxation episodes. Representing finite systems with a Husimi tree, we find that low temperature data from forty generations collapse onto a single curve consistent with a power law scaling form, implying that boundary truncation alone can give rise to scale invariant flux arrest, analogous to athermal granular jamming. By employing transition probabilities constructed from local Boltzmann factors, this framework connects equilibrium energy landscape concepts to non equilibrium phenomena, including kinetic arrest and telegraph noise, thereby enabling the prediction and design of intermittent transport in finite, frustrated networks.
Comments14 pages, 3 figures
