通过双复制分析,通过波纹墙附近的有限定向聚合物的探测相位过渡
Ruijie Xu1, Sergei Nechaev2,1
1Beijing Institute of Mathematical Sciences and Applications (BIMSA), Yanqi Lake, Huairou District, Beijing 101408, China.
Entropy (Basel, Switzerland)
|February 27, 2026
概括
这项研究研究了格子模型中的固定过渡. 它揭示了虽然化和化系统在热力学极限上有所不同,但有限系统显示出差异最小的"灰色区域".
科学领域:
- 统计物理学的统计物理.
- 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:
- 研究固定过渡对于理解有混乱的系统至关重要.
- 与随机潜力相互作用的波动接口在自然和技术中很常见.
- 区分冷却和灭的障碍效应是一个长期存在的挑战.
研究的目的:
- 导出一个明确的标准,用于在化与化系统中的接过渡.
- 分析热力学极限和有限尺寸对过渡的影响.
- 调和关于灭无序的相关性的相互矛盾的观点.
主要方法:
- 模拟一个波动接口的 (1+1) 维格子系统.
- 在半线上使用N步指导的1维随机步行.
- 分析分区函数 (GN和GN2) 的前两个失调平均时刻.
主要成果:
- 导出了一个明确的标准,用于匹配过渡的巧合或区别.
- 证明了冷和冷系统在热力学极限中具有不同的过渡点.
- 确定了一个有限系统.
- 灰色区域是一个灰色区域.
- 在那里,差异很难被检测出来.
结论:
- 灭障碍的相关性可能是边际的,这取决于系统的大小.
- 该研究提供了关于协调不同理论观点的见解.
- 结果有助于理解具有灭混乱的复杂系统.
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