两个状态的随机过程在恒定偏差场中的异常扩散
Xiao Luo1, Ming-Jiu Wang1, Xue-Jing Dai1
1Criminal Investigation Police University of China, Shenyang 110854, China.
Physical review. E
|January 21, 2026
概括
这项研究探讨了在一个偏差的领域中普遍的Lévy步行与跳跃 (GLWJ). 尽管直觉有偏见,但偏差场并不总是改变扩散,强大的波动可以主导长期运输.
科学领域:
- 物理 物理学 物理
- 统计力学 统计力学
- 复杂的系统复杂的系统.
背景情况:
- 一般化的莱维步行与跳跃 (GLWJ) 模型描述了复杂的粒子运输.
- 对于各种物理和生物系统来说,了解偏差场中的扩散行为至关重要.
研究的目的:
- 在恒定偏差场下调查两态GLWJ模型的扩散行为.
- 分析功率定律运动时间和跳跃密度对粒子运输的影响.
- 探索平均平方位移 (MSD) 和概率密度函数 (PDF) 的定向偏差中的交叉现象.
主要方法:
- 使用平均平方位移 (MSD) 分析扩散行为.
- 计算概率密度函数 (PDF) 以了解粒子分布.
- 用动力定律运动时间和高斯式跳跃密度建模广义的莱维步行与跳跃 (GLWJ).
主要成果:
- 脊髓硬化症表现出一个由三种不同的机制驱动的交叉现象.
- 该PDF显示方向偏差,表示偏差运输.
- 偏差场并不总是改变扩散结果,这与最初的预期相反.
- 较强的波动强度可以在较大的时间尺度上主导扩散,无论扩散指数如何.
结论:
- 偏向的GLWJ模型显示了丰富而反直观的扩散现象.
- 提供了关于生物和物理系统中的粒子运输的理论见解.
- 波动强度在确定长期扩散行为的过程中起着至关重要的作用.
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