在大小多分散的奥恩斯坦-乌伦贝克-莱纳德-斯模型中,活性物质是同态的
Daniel Jespersen1, Lorenzo Costigliola1, Jeppe C Dyre1
1Glass and Time, IMFUFA, Department of Science and Environment, Roskilde University, PO Box 260, DK-4000 Roskilde, Denmark.
概括
这项研究探讨了使用活性奥恩斯坦-乌伦贝克粒子 (AOUP) 动态的尺寸多散列列纳德-斯系统中的等态. 配置温度和直接同型检查方法都有效地绘制了这些复杂系统的相位图.
科学领域:
- 统计力学 统计力学
- 软物质物理学 软物质物理学
- 计算物理 计算物理
背景情况:
- 活跃的奥恩斯坦-乌伦贝克粒子 (AOUP) 动态模型复杂系统.
- 同位体理论在相图中识别了不变结构和动态的曲线.
- 尺寸多分散性引入了系统行为中的复杂性.
研究的目的:
- 在AOUP动态下调查大小多散列列纳德-斯系统中等态体的存在和特征.
- 为了比较配置温度方法和直接同型检查方法的有效性,用于识别同型.
- 评估这些系统中结构性和动态性质的等态不变性.
主要方法:
- 模拟大小多分散的 Lennard-Jones 系统与 AOUP 动态.
- 采用配置-温度方法来追踪从稳定状态配置的同态.
- 使用直接同型检查方法进行比较.
- 分析减小单位的半径分布函数和不变度的平均平方位移.
主要成果:
- 证明了辐射分布函数和不同多分散度的平均平方位移的良好等态不变性 (12%,23%,29%).
- 发现与配置温度方法相比,直接同态检查方法显示出更好的动态不变性,但结构不变性较差.
- 证实了同态理论对具有隐式尺度不变性属性的多分散AOUP模型的适用性.
结论:
- 配置温度和直接同态检查方法都为多分散AOUP模型的相图提供了宝贵的见解.
- 方法的选择可能取决于是否优先考虑结构或动态不变性.
- 同位体理论为理解复杂的多分散活性物质系统提供了一个强大的框架.
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