随机接口是通过添加尺寸可变的结构来生成的
Nicolas Pétrélis1, François Pétrélis2
1Laboratoire Jean Leray, Université de Nantes, 2, Rue de la Houssinière, 44322 Nantes Cedex 3, Nantes, France.
Physical review. E
|February 7, 2025
概括
这项研究引入了一种新类随机接口,通过沉积具有重尾分布的结构来形成. 这些接口表现出普遍的自我相似行为,可能解释地震等现象的相关性.
科学领域:
- 统计物理 统计物理
- 复杂的系统复杂的系统.
- 材料科学 材料科学 材料科学
背景情况:
- 随机接口是各种科学领域的基础.
- 了解这些接口的统计性质对于建模复杂现象至关重要.
- 以前的模型通常假定沉积结构的分布更简单.
研究的目的:
- 通过沉积具有重尾宽度分布的物体生成随机接口的统计行为.
- 在这些随机接口中识别普遍的非对称行为和关键过渡.
- 阐明这些系统中远程相关性背后的机制.
主要方法:
- 对于随机中心结构沉积的精确可溶性分析.
- 专注于结构宽度的重尾分布.
- 确定控制非对称行为的关键参数:结构形状,宽度分布指数和高度-宽度关系指数.
主要成果:
- 接口通用地演变为一个自相相关的随机曲线.
- 非对称的行为是普遍的,取决于三个关键参数.
- 参数空间中的过渡导致不同的非对称行为,包括分数布朗运动.
- 确定了一个新的强大的随机接口类别.
结论:
- 这项研究揭示了一种具有强大特性的新类随机接口.
- 鉴定的机制解释了与地震物理和能量传播等领域相关的远程相关性.
- 非对称行为的普遍性为各种应用提供了一个强大的框架.
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