异质是不利的:布朗的非高斯的搜索
Vittoria Sposini1, Sankaran Nampoothiri2, Aleksei Chechkin3,4,5
1Faculty of Physics, University of Vienna, Kolingasse 14-16, 1090 Vienna, Austria.
Physical review. E
|April 18, 2024
概括
高斯扩散对于准比非高斯扩散更有效,基于平均首次通道时间. 这一发现适用于各种复杂系统,包括聚合物和随机步行.
科学领域:
- 物理 物理学 物理
- 物理化学 物理化学
- 统计力学 统计力学
背景情况:
- 在各种复杂系统中观察到非高斯扩散,包括聚合物和连续时间随机步行.
- 了解扩散效率对于扩散有限反应和生物系统等过程至关重要.
研究的目的:
- 为了确定非高斯定位是否比高斯定位更有效.
- 提供适用于各种扩散模型的通用方法.
主要方法:
- 用詹森的不等式为一般的理论框架.
- 分析表现出非高斯扩散的系统,例如聚合物和连续时间随机步行.
主要成果:
- 高斯式搜索在平均首次通道时间方面比非高斯式搜索更有效.
- 这与需要很少一部分可追踪器来实现目标的场景形成鲜明对比.
结论:
- 对于以平均首次通道时间来衡量的典型准场景,高斯扩散更有效.
- 非高斯扩散可能在具有严格标记器要求的特定应用中提供优势.
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