内应力重分布驱动且具有广义跳跃步长的反常扩散研究

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内应力重分布驱动且具有广义跳跃步长的反常扩散研究
Research on Anomalous Diffusion Driven by Internal Stress Redistribution with Generalized Jump Length

DOI: 10.12677/AAM.2023.1212503, PDF, 下载: 133 浏览: 199
作者: 蒲文东：成都理工大学数理学院，四川成都
关键词: 连续时间随机游走；内应力重分布；指数截断Lévy分布；反常扩散；Continuous-Time Random Walk； Internal Stress Redistribution； Exponentially Truncated Lévy Distribution； Anomalous Diffusion

摘要: 基于连续时间随机游走的框架，考虑了随机等待时间由内应力重分布驱动并且具有指数截断Lévy分布的跳跃步长所导致的反常扩散现象。给出了一个广义扩散方程用于描述这种反常扩散现象，并对其反常扩散性质进行了分析。

Abstract: Within the framework of a continuous-time random walk, the phenomenon of anoma- lous diffusion is considered, driven by random waiting time induced by internal stress redistribution and characterized by jump length with an exponentially truncated Lévy distribution. A generalized diffusion equation is provided to describe this anomalous diffusion phenomenon, and its anomalous diffusion properties are analyzed.

文章引用：蒲文东. 内应力重分布驱动且具有广义跳跃步长的反常扩散研究[J]. 应用数学进展, 2023, 12(12): 5127-5136. https://doi.org/10.12677/AAM.2023.1212503

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