Time-averaged Einstein relation and fluctuating diffusivities for the Lévy walk

D. Froemberg, E. Barkai

Research output: Contribution to journalArticlepeer-review

74 Scopus citations

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 languageEnglish
Article number030104
JournalPhysical Review E
Volume87
Issue number3
DOIs
StatePublished - 29 Mar 2013

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