发表机构
Independent Researcher
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究三角晶格\(J_1 - J_2\)伊辛反铁磁体有限速率冷却动力学，定义动力学条纹形成时间\(n^*(L,J_2/J_1)\)，发现其与系统尺寸、\(J_2/J_1\)有关，区分了能量简并消除、局部约束恢复和全局条纹取向选择三个过程。
AI 中文摘要
研究了三角晶格\(J_1 - J_2\)伊辛反铁磁体在局部 metropolis 更新下的有限速率冷却动力学。虽反铁磁次近邻耦合在平衡态选择条纹相，但模拟表明有限时间尺度上该相不会自动达到。定义了动力学条纹形成时间\(n^*(L,J_2/J_1)\)，其随系统尺寸增大冷却变慢，随\(J_2/J_1\)增大冷却变快。尺寸依赖性符合粗化控制过程。实空间形态和固定温度诊断表明未成功轨迹并非简单无序态。在弱\(J_2/J_1\) regime，系统能恢复局部最近邻受挫约束但仍无法选择全局条纹扇区。这些结果区分了通常混淆的三个过程。
英文摘要
The interplay between energetic relaxation and global stripe-sector selection is investigated by analyzing the finite-rate cooling dynamics of the triangular-lattice $J_1-J_2$ Ising antiferromagnet under local single-spin Metropolis updates. A protocol-dependent stripe-accessibility time, $n^*(L,J_2/J_1)$, was established as an operational diagnostic to determine the threshold at which half of the trajectories achieve global stripe order. Real-space morphology diagnostics and fixed-temperature holds were subsequently employed to assess late-stage domain wall elimination and to characterize the finite-time coarsening behavior across varying system sizes and $J_2/J_1$ coupling ratios. The system quickly forms local stripe patterns before aligning them globally. Final alignment is slowed by domain-wall elimination, taking longer in larger systems but speeding up with a higher $J_2/J_1$ ratio.
Comments18 pages, 10 figures, 2 appendices. Uses RevTex 4-2. The code will be added on github or in a repository on final version
