标题： 二态强碰撞模型的推广 显示英文标题

标题： A two-state generalisation of the strong collision model

摘要： μ子自旋弛豫是一种用于探测静态和动态局部磁场的强大技术。 基于高斯-马尔可夫过程的强碰撞模型通常用于解释动态效应。 然而，它在描述局部场经历离散状态变化的系统时仍然存在局限性。 为了解决这个问题，我引入了一种广义的两态强碰撞模型，该模型明确地将波动过程中不同局部场环境之间的转换纳入考虑。 这种扩展使得对动态效应的描述更加准确，特别是在每次碰撞都会改变基本静态极化函数的系统中。 给出了分析和数值解，并在相关物理系统中展示了该模型的适用性并进行了讨论——包括低维磁体、具有动态无序以及离子和μ子扩散的系统。 这些结果提供了一个改进的框架，用于解释复杂材料中的数据，并将该方法的应用范围扩展到凝聚态物理中的更广泛一类动态现象。 显示英文摘要

摘要： Muon spin relaxation is a powerful technique for probing static and dynamic local magnetic fields. The strong collision model, based on a Gaussian-Markovian process, is commonly used to account for dynamical effects. Yet, it remains limited in describing systems where the local field undergoes discrete state changes. To address this, I introduce a generalized two-state strong collision model that explicitly incorporates transitions between distinct local field environments during fluctuations. This extension allows for a more accurate representation of dynamical effects, particularly in systems where each collision alters the underlying static polarisation function. Analytical and numerical solutions are presented, and the model's applicability is demonstrated and discussed across relevant physical systems -- including low-dimensional magnets, systems with dynamic disorder and ion and muon diffusion. These results offer an enhanced framework for interpreting data in complex materials and extend the method's reach to a broader class of dynamical phenomena in condensed matter physics.