Abstract
Brownian motion of an ellipsoid is faster in the longitudinal direction than that in the perpendicular direction. This leads to the diffusion anisotropy while it is isotropic in the long time limit. The mean square displacements from the particle trajectory do not reveal such characteristics and cannot distinguish the dynamics from that of spherical particles. Furthermore, it is often difficult to determine the particle orientiation at every time step of the single particle tracking experiments. In this study, we show that the diffusion anisotropy can be evaluated from the particle trajectory without the information of particle orientation by the statistical quantities based on the large deviation principle in mathematics. The scope of this study is the characterization of fluctuation phenomena beyond the central limit theorem.
