Detection of transition times from single-particle-tracking trajectories

Takuma Akimoto, Eiji Yamamoto

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish
Article number052138
JournalPhysical Review E
Volume96
Issue number5
DOIs
Publication statusPublished - 2017 Nov 28

Fingerprint

Particle Tracking
Diffusivity
trajectories
Trajectory
diffusivity
Heterogeneous Environment
Langevin Equation
Mean Square
Diffusion Coefficient
Time Scales
Time series
Fluctuations
diffusion coefficient
Experiment

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Detection of transition times from single-particle-tracking trajectories. / Akimoto, Takuma; Yamamoto, Eiji.

In: Physical Review E, Vol. 96, No. 5, 052138, 28.11.2017.

Research output: Contribution to journalArticle

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