First-passage statistics for aging diffusion in systems with annealed and 
quenched disorder.

Krüsemann, H.; Godec, A.; Metzler, R.

doi:10.1103/PhysRevE.89.040101

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

First-passage statistics for aging diffusion in systems with annealed and quenched disorder.

MPS-Authors

/persons/resource/persons206062

Godec, A.
Research Group of Mathematical Biophysics, MPI for Biophysical Chemistry, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

2472393.pdf
(Publisher version), 233KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Krüsemann, H., Godec, A., & Metzler, R. (2014). First-passage statistics for aging diffusion in systems with annealed and quenched disorder. Physical Review E, 89(4): 040101(R). doi:10.1103/PhysRevE.89.040101.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-CB79-5

Abstract

Aging, the dependence of the dynamics of a physical process on the time t(a) since its original preparation, is observed in systems ranging from the motion of charge carriers in amorphous semiconductors over the blinking dynamics of quantum dots to the tracer dispersion in living biological cells. Here we study the effects of aging on one of the most fundamental properties of a stochastic process, the first-passage dynamics. We find that for an aging continuous time random walk process, the scaling exponent of the density of first-passage times changes twice as the aging progresses and reveals an intermediate scaling regime. The first-passage dynamics depends on t(a) differently for intermediate and strong aging. Similar crossovers are obtained for the first-passage dynamics for a confined and driven particle. Comparison to the motion of an aged particle in the quenched trap model with a bias shows excellent agreement with our analytical findings. Our results demonstrate how first-passage measurements can be used to unravel the age t(a) of a physical system.