从动态学的Z_{q}模型中出现的Nambu-Goldstone阶段
Minghui Hu1, Yanan Sun1, Dajun Zhang1
1Anhui Normal University, Institute for Theoretical Physics, Wuhu, Anhui 241000, China.
Physical review. E
|February 7, 2025
概括
本研究探讨了在振荡场下的Z_q模型中的动态关键现象. 研究人员发现平衡-不平衡对应有条件验证,但在某些3D情况下被侵犯,揭示了复杂的新兴行为.
科学领域:
- 统计物理 统计物理
- 凝聚物质物理学 凝聚物质物理学
- 复杂的系统复杂的系统.
背景情况:
- Z_q模型是研究相位过渡的基本框架.
- 了解不平衡系统中的动态关键现象至关重要.
- 平衡-不平衡对应提供了静态和动态属性之间的理论联系.
研究的目的:
- 在振荡场中研究Z_q模型的动态关键现象.
- 在不平衡条件下检查平衡-不平衡对应的有效性.
- 阐明动态系统中新阶段和普遍性类的出现.
主要方法:
- 为了研究Z_q模型,使用了广泛的数值模拟.
- 分析了系统在不同维度 (2D和3D) 的行为.
- 研究了振荡场周期变化的影响.
主要成果:
- 在2D中观察到q=6的Berezinskii-Kosterlitz-Thouless过渡.
- 在3D中发现了q=3的第一阶过渡,条件验证了对应.
- 对于3D中q=5,6,7的对应被破坏,显示了不同的平衡和不平衡场景.
- 在不平衡的情况下出现了一个新的O(2) 对称性破坏的Nambu-Goldstone阶段.
- 动态过渡与双长度关键性和危险无关的领域有关.
结论:
- 平衡-不平衡对应是有条件有效的,并且可以在复杂的动态系统中被侵犯.
- 振荡场中的Z_q模型表现出丰富的新兴现象,包括新的相和普遍性类.
- 动态关键现象提供了一个强大的镜头来理解微妙的平衡特性和具有挑战性的关键行为.
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