在XY模型中的动态相变:蒙特卡洛和平均场理论研究
Mainak Pal1, William D Baez2,3, Pushan Majumdar1
1School of Physical Sciences, <a href="https://ror.org/050p6gz73">Indian Association for the Cultivation of Science</a>, Kolkata 700032, India.
我们在一个带有磁场的二维异构XY模型中探索了动态相位. 确定了三个稳定阶段 (Ising-SRO,Ising-SBO,XY-SRO),其中的过渡属于Ising普遍性类或是第一阶段.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 统计力学 统计力学
- 动态系统 动态系统
背景情况:
- 异性XY模型是统计力学的一个基本模型.
- 了解驱动系统中的相变对于材料科学至关重要.
- 定期驱动的系统可以表现出新的动态阶段.
研究的目的:
- 在依赖时间的磁场下,研究2D异型XY模型中的动态相位和相位过渡.
- 识别稳定和短暂的动态阶段及其特征.
- 分析磁场,异构性和驱动频率对系统行为的影响.
主要方法:
- 使用CPU+GPU范式和Glauber算法进行有限温度经典蒙特卡洛模拟.
- 现象学运动方程方法与平均场近似和放松动态.
- 有限尺寸缩放分析以确定热力学稳定性和普遍性等级.
主要成果:
- 确定了四个动态阶段:Ising-SBO,Ising-SRO,XY-SBO和XY-SRO.
- 确定Ising-SRO,Ising-SBO和XY-SRO是热力学极限中的稳定动态相.
- 表明稳定相之间的过渡处于2D Ising普遍性类或第一阶段.
- 在平均场计算中发现了一个双稳定区域,其中系统的最终状态取决于初始条件.
结论:
- 自由能量静止点的切换和二维相位空间之间的竞争决定了系统的动态.
- XY-SBO阶段是一个短暂的特征,在热力学极限中无法生存.
- 这项研究提供了关于驱动性异构磁体系统复杂相位行为的见解.
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