在正方形格子上随机同位素的波动中的形状效应
Iván Álvarez Domenech1, Javier Rodríguez-Laguna2, Rodolfo Cuerno3
1Dto. Física Matemática y de Fluidos, Universidad Nacional de Educación a Distancia, Las Rozas 28232, Spain.
第一次通道透中的同步曲线呈现出从钻石到圆形的交叉,噪音增加. 它们的波动在考虑格子结构后与卡达尔-帕里西-张的普遍性类相一致.
科学领域:
- 统计物理 统计物理
- 可能性理论概率理论.
- 复杂的系统复杂的系统.
背景情况:
- 第一次通道透模型是对格子上的随机过程.
- 同时曲线定义了在给定的时间内可到达站点的边界.
- 了解接口波动是无序系统的关键.
研究的目的:
- 分析2D第一通道透中的同位曲线.
- 为了研究形状交叉和波动动力学.
- 为了分类这些波动界面的普遍性类.
主要方法:
- 使用富里埃元件分析等曲线的分析.
- 形状交叉的特征与不同的噪声水平.
- 在同质性中检查接口波动和局部宽度.
主要成果:
- 观察到从钻石到圆形平均形状的交叉,噪声越来越大.
- 识别的同位素是具有不均宽度的波动接口.
- 证明波动属于卡达尔-帕里西-张的普遍性类.
结论:
- 这项研究揭示了一种噪音驱动的几何交叉在透等离子体中.
- 波动符合Kardar-Parisi-Zhang (KPZ) 的普遍性类动态.
- 这些发现提供了Family-Vicsek Ansatz和Tracy-Widom分布的准确复制.
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