关于异质系统中均方位移的解释

IF 2.8 2区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY New Journal of Physics Pub Date : 2024-09-12 DOI:10.1088/1367-2630/ad77ec
Ming-Gen Li, Rui Xing, Li-Ming Fan, Meng Hu, Jing-Dong Bao and Peng-Cheng Li
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引用次数: 0

摘要

在处理异质系统时,适当解释均方位移(MSD)数据至关重要。这是由于对随态扩散的随机微分方程的各种解释可能会产生相同的 MSD 数据,从而导致错误的结论。在朗格文模拟支持的 MSD 分析解的帮助下,我们探讨了扩散过程中的这一局限性,该过程表现出幂律状态相关扩散性,扩散常数为 D0,扩展指数为 µ。我们引入了一种方法来辨别这些依赖于 D0 的解释。将该方法应用于亚扩散 MSD 数据时,我们观察到解释的转换取决于异常扩散系数的值。此外,我们还证明了这些依赖于 D0 的解释对记忆效应的不同反应,而记忆效应也可用于决定 MSD 数据的解释。我们相信,这些发现为解释异构系统中的 MSD 数据提供了启示。
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On the interpretation of mean-square displacement in heterogeneous systems
When dealing with heterogeneous systems, interpreting the mean-square displacement (MSD) data appropriately is crucial. This is due to the limitation that the various interpretations of stochastic differential equations with state-dependent diffusivity may yield the same MSD data, leading to erroneous conclusions. Aided by analytical MSD solutions supported by Langevin simulations, we explore this limitation in diffusion processes exhibiting power-law state-dependent diffusivity, , with diffusion constant D0 and scaling index µ. We find that distinct interpretations leading to same MSD data possess different D0 values. A method is introduced to discern these D0-dependent interpretations. When applying the method to subdiffusion MSD data, we observe interpretation transitions depending on the value of the anomalous diffusion coefficient. Furthermore, we demonstrate that these D0-dependent interpretations respond diversely to memory effects, which may also be used to decide on the interpretation of MSD data. We believe that these findings offer insights for interpreting MSD data in heterogeneous systems.
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来源期刊
New Journal of Physics
New Journal of Physics 物理-物理:综合
CiteScore
6.20
自引率
3.00%
发文量
504
审稿时长
3.1 months
期刊介绍: New Journal of Physics publishes across the whole of physics, encompassing pure, applied, theoretical and experimental research, as well as interdisciplinary topics where physics forms the central theme. All content is permanently free to read and the journal is funded by an article publication charge.
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