Abstract
The Lévy walk model is a stochastic framework of enhanced diffusion with many applications in physics and biology. Here we investigate the time-averaged mean squared displacement δ2̄ often used to analyze single particle tracking experiments. The ballistic phase of the motion is nonergodic and we obtain analytical expressions for the fluctuations of δ2̄. For enhanced subballistic diffusion we observe numerically apparent ergodicity breaking on long time scales. As observed by Akimoto, deviations of temporal averages δ2̄ from the ensemble average âŒ
Original language | English |
---|---|
Article number | 030104 |
Journal | Physical Review E |
Volume | 87 |
Issue number | 3 |
DOIs | |
State | Published - 29 Mar 2013 |