Log-Normal Superstatistics for Brownian Particles in a Heterogeneous Environment

摘要: Superstatistical approaches have played a crucial role in the investigations of mixtures Gaussian processes. Such look to describe non-Gaussian diffusion emergence single-particle tracking experiments realized soft and biological matter. Currently, relevant progress superstatistics processes has been investigated by applying χ2-gamma inverse systems particles heterogeneous environment whose diffusivities are randomly distributed; such situations imply Brownian yet diffusion. In this paper, we present how log-normal modify density distribution function for two types mixture Firstly, investigate time evolution ensemble with random diffusivity through analytical simulated points view. Furthermore, analyzed approximations overall probability motion. Secondly, propose models scaled motion analyze associated them, which admits an anomalous process. The results found work contribute advances superstatistical theory.