局部持续指数及其对数周期振荡

IF 3.1 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physica A: Statistical Mechanics and its Applications Pub Date : 2025-10-16 DOI:10.1016/j.physa.2025.131047

Yilin Ye, Denis S. Grebenkov

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引用次数: 0

摘要

研究了粒子在吸收自相似边界附近扩散的生存概率的局部持续指数。我们通过广泛的蒙特卡罗模拟表明，局部持久性指数在广泛的时间尺度范围内呈现对数周期振荡。我们在不同分形维数的科氏雪花家族中确定了这些振荡的周期和平均值。通过一个简单而直观的模型，深入分析了起点及其局部环境对这一行为的影响。这一分析揭示了边界的空间自相似性如何影响复杂系统中的扩散动力学及其时间特征。

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Local persistence exponent and its log-periodic oscillations

We investigate the local persistence exponent of the survival probability of a particle diffusing near an absorbing self-similar boundary. We show by extensive Monte Carlo simulations that the local persistence exponent exhibits log-periodic oscillations over a broad range of timescales. We determine the period and mean value of these oscillations in a family of Koch snowflakes of different fractal dimensions. The effect of the starting point and its local environment on this behavior is analyzed in depth by a simple yet intuitive model. This analysis uncovers how spatial self-similarity of the boundary affects the diffusive dynamics and its temporal characteristics in complex systems.

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来源期刊

Physica A: Statistical Mechanics and its Applications 物理-物理：综合

CiteScore

7.20

自引率

9.10%

发文量

852

审稿时长

6.6 months

期刊介绍： Physica A: Statistical Mechanics and its Applications Recognized by the European Physical Society Physica A publishes research in the field of statistical mechanics and its applications. Statistical mechanics sets out to explain the behaviour of macroscopic systems by studying the statistical properties of their microscopic constituents. Applications of the techniques of statistical mechanics are widespread, and include: applications to physical systems such as solids, liquids and gases; applications to chemical and biological systems (colloids, interfaces, complex fluids, polymers and biopolymers, cell physics); and other interdisciplinary applications to for instance biological, economical and sociological systems.