标题： 临界状态下在模拟偶极三角晶格中时钟、随机截断和Tomita蒙特卡罗方法的比较 显示英文标题

标题： Comparison of the clock, stochastic cutoff, and Tomita Monte Carlo methods in simulating the dipolar triangular lattice at criticality

摘要： 磁性纳米结构在各种技术领域中有应用，其行为受到长程偶极相互作用的显著影响。 然而，使用传统的Metropolis蒙特卡洛方法模拟这些系统计算需求很高。 几种方法，包括时钟法、随机截断法和Tomita方法，可以降低具有偶极相互作用的二维系统模拟的计算负担。 尽管这三种方法基于不同的理论概念，但它们都通过一种共同策略实现复杂度降低。 它们不是计算自旋与其所有邻居之间的能量差，而是仅评估与有限数量随机选择的邻居之间的能量差。 这是通过动态稀疏化和Fukui-Todo技术等方法实现的。 在本文中，我们比较了在偶极三角晶格临界点附近时钟法、SCO、Tomita和Metropolis方法的性能，以确定最适合此类模拟的算法。 我们的研究结果表明，虽然这些方法在其未调整的实现中不太适合模拟该系统，但结合附近的邻居包装方法和超松弛移动后，它们的效率显著提高，并且比带有超松弛的Metropolis方法更合适。 显示英文摘要

摘要： Magnetic nanostructures find application in diverse technological domains and their behavior is significantly influenced by long-range dipolar interactions. However, simulating these systems using the traditional Metropolis Monte Carlo method poses high computational demand. Several methods, including the clock, stochastic cutoff, and Tomita approaches, can reduce the computational burden of simulating 2D systems with dipolar interactions. Although these three methods rely on distinct theoretical concepts, they all achieve complexity reduction by a common strategy. Instead of calculating the energy difference between a spin and all its neighbors, they evaluate the energy difference with only a limited number of randomly chosen neighbors. This is achieved through methods like the dynamic thinning and Fukui-Todo techniques. In this article, we compared the performance of the clock, SCO, Tomita, and Metropolis methods near the critical point of the dipolar triangular lattice to identify the most suitable algorithm for this type of simulation. Our findings show that while these methods are less suitable for simulating this system in their untuned implementation, incorporating the boxing nearby neighbors method and overrelaxation moves makes them significantly more efficient and better suited than the Metropolis method with overrelaxation.