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Detection of Transition Times from Single-particle-tracking Trajectories
- Source :
- Phys. Rev. E 96, 052138 (2017)
- Publication Year :
- 2017
-
Abstract
- In heterogeneous environments, the diffusivity is not constant but changes with time. It is important to detect changes in the diffusivity from single-particle-tracking trajectories in experiments. Here, we devise a novel method for detecting the transition times of the diffusivity from trajectory data. A key idea of this method is the introduction of a characteristic time scale of the diffusive states, which is obtained by a fluctuation analysis of the time-averaged mean square displacements. We test our method in silico by using the Langevin equation with a fluctuating diffusivity. We show that our method can successfully detect the transition times of diffusive states and obtain the diffusion coefficient as a function of time. This method will provide a quantitative description of the fluctuating diffusivity in heterogeneous environments and can be applied to time series with transitions of states.<br />Comment: 11 pages, 4 figures
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. E 96, 052138 (2017)
- Publication Type :
- Report
- Accession number :
- edsarx.1709.05456
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.96.052138