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The unit step sequence is defined as 1 for zero and positive values of the integer n. This sequence can be graphically displayed using a set of eight sample points, showing a step function starting from n=0 and remaining constant thereafter.
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在随机重置下,在状结构上随机走动.

Axel Masó-Puigdellosas1, Trifce Sandev2,3,4, Vicenç Méndez1

  • 1Grup de Física Estadística, Departament de Física, Universitat Autònoma de Barcelona, Edifici Cc, E-08193 Cerdanyola, Spain.

Entropy (Basel, Switzerland)
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概括
此摘要是机器生成的。

在结构上的随机重置会影响随机步行者动态. 马科维亚重置促进正常扩散,而非马科维亚重置表现出复杂的亚扩散和扩散行为.

关键词:
异常扩散的异常扩散随机步行随机步行随机重置是指随机的重置.

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科学领域:

  • 统计物理 统计物理
  • 复杂的系统复杂的系统.

背景情况:

  • 随机步行是统计物理学的基本模型.
  • 结构由于其分支性质而带来了独特的挑战.
  • 随机重置为随机过程引入非平衡动态.

研究的目的:

  • 为了研究一个随机步行者在结构上的平均平方位移 (MSD) 的长时间动态.
  • 分析不同随机重置策略 (全球和本地) 对步行者动态的影响.
  • 了解扩散,等待时间和重置过程之间的相互作用.

主要方法:

  • 平均平方位移 (MSD) 的理论分析.
  • 模拟随机的步行者运动在一个子格子与扩散的脊椎和手指跳跃.
  • 考虑马科维亚和非马科维亚的重置机制.
  • 分析全球重置 (任何点到原始) 和本地重置 (指到骨干).

主要成果:

  • 马科维亚局部重置会诱导正常的扩散,减轻手指陷.
  • 非马科维亚的局部重置显示了与三个制度的交叉:两个亚扩散和一个扩散.
  • 全球重置防止正常扩散,导致常数MSD (马科维亚) 或亚扩散 (非马科维亚).

结论:

  • 随机重置显著改变了结构上的随机步行行为.
  • 重置的类型 (本地/全球) 和其时间性质 (马科维亚/非马科维亚) 决定了传播模式.
  • 这项研究揭示了在异质环境中扩散,捕获和重置的相互作用引起的复杂动态.