论文标题
缩放布朗运动异常指数的超级巨星方法
Superstatistical approach of the anomalous exponent for scaled Brownian motion
论文作者
论文摘要
异常扩散现象是一个有趣的过程，在许多复杂系统中示意剂扩散呈现。当前的实验和理论研究报道了随机扩散率情景的出现，并伴随着$α$ - $ - $ - $ - 反式扩散指数的异质性。在这个框架中，我们研究了由布朗尼运动（SBM）控制的示踪剂的异质集合。在异常扩散指数和扩散率上考虑了异质特征。为了分析此类系统，我们介绍了超级巨星框架中异常指数的截短的高斯和截断的卡方分布。我们还讨论了我们模型中不同时间尺度在SBM中的作用。此外，我们研究了扩散率和异常指数之间耦合对SBM超级巨星的影响。该研究提供了对模拟和分析结果的彻底分析。
Anomalous diffusion phenomenon is an intriguing process that tracer diffusion presents in numerous complex systems. Current experimental and theoretical investigations have reported the emergence of random diffusivity scenarios accompanied by the heterogeneity of the $α$-anomalous diffusion exponents. In this framework, we investigate a heterogeneous ensemble of tracers governed by scaled Brownian motion (sBm). The heterogeneous features are considered on anomalous diffusion exponent and diffusivity. To analyse such systems, we introduce the truncated-Gaussian and truncated chi-squared distributions for anomalous exponents in the superstatistical framework. We also discuss the role of different temporal scales in sBm for our model. Furthermore, we investigate the effects of coupling between diffusivity and anomalous exponent on superstatistics of sBm. The investigation provides a thorough analysis of simulation and analytical results.
