AI 中文总结
研究清洁受挫磁体中单个单极子运动的自相互作用随机游走，其速度自相关函数有代数长时间拖尾，有限密度下单极子相互作用致指数截断，该磁体可作为研究相关动力学的微观平台。
AI 中文摘要
在一个简单、清洁但受约束的磁体中，我们识别出一种具有记忆的自相互作用随机游走。对于单个单极子（自旋冰中的一种分数化准粒子）的运动，这会产生向扩散运动的微妙且异常缓慢的弛豫。这表现为速度自相关函数中的代数长时间拖尾，按\(t^{-3/2}\)衰减。在有限单极子密度下，不同单极子轨迹间的相互作用引入了一个额外的时间尺度，导致长时间拖尾的指数截断。我们的结果将清洁受挫磁体确定为研究自相互作用随机过程、流体动力学记忆以及从局部马尔可夫动力学中出现非马尔可夫准粒子输运的微观平台。
英文摘要
In a simple, clean but constrained magnet, we identify a self-interacting random walk with memory. For the motion of a single monopole -- a fractionalized quasiparticle in spin ice -- this produces a subtle and unusually slow relaxation toward diffusive motion. This is manifested as an algebraic long-time tail in the velocity autocorrelation function, decaying as $t^{-3/2}$. At finite monopole density, the interactions between the trails of different monopoles introduce an additional timescale, corresponding to the disruption of a monopole's memory by other monopoles, and leading to an exponential cutoff of the long-time tail. Our results identify clean frustrated magnets as microscopic platforms for studying self-interacting stochastic processes, hydrodynamic memory, and the emergence of non-Markovian quasiparticle transport from local Markovian dynamics.
Comments10 pages, 8 figures
