振动的沙堆:一个具有方向性过渡系统的例子
J Cheraghalizadeh1, N Arghand1, M N Najafi1
1University of Mohaghegh Ardabili, Department of Physics, P.O. Box 179, Ardabil, Iran.
Physical review. E
|August 1, 2025
概括
这项研究引入了一个振荡性异构型沙堆模型,扩展了Bak,Tang和Wiesenfeld (BTW) 模型. 它揭示了影响雪崩行为的方向性交叉和依赖规模的缩放指数.
科学领域:
- 复杂的系统复杂的系统.
- 统计物理学的统计物理.
- 自主组织的批判性.
背景情况:
- 巴克,坦格和维森菲尔德 (BTW) 模型是自组织批判性的基础概念.
- 对于各种科学领域来说,了解异型系统中的雪崩动态至关重要.
研究的目的:
- 介绍和分析一个振荡式无极性沙堆模型.
- 探索统计属性和识别雪崩行为中的交叉现象.
主要方法:
- 用方向振荡扩展BTW模型.
- 分析本地和全球统计措施.
- 雪崩特性 (质量,大小,持续时间) 的缩放分析.
主要成果:
- 确定了一个方向交叉点 (T*),其中雪崩延伸方向发生变化.
- 在T*周围观察到雪崩的定位,雪崩的概率为零.
- 揭示了雪崩特征的尺度依赖的缩放指数和强度定律分布.
- 发现了雪崩峰值的T-依赖扩展指数.
结论:
- 振荡性异构型沙堆模型表现出复杂的行为,包括方向性和尺度交叉.
- 缩放指数在小尺度和大尺度之间有所不同,并确定了特定的值.
- 质量持续时间缩放指数在不同的振荡周期中是稳定的.
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