Aging effects and population splitting in single-particle trajectoryaverages
- We study time averages of single particle trajectories in scale-free anomalous diffusion processes, in which the measurement starts at some time t(a) > 0 after initiation of the process at t = 0. Using aging renewal theory, we show that for such nonstationary processes a large class of observables are affected by a unique aging function, which is independent of boundary conditions or the external forces. Moreover, we discuss the implications of aging induced population splitting: with growing age ta of the process, an increasing fraction of particles remains motionless in a measurement of fixed duration. Consequences for single biomolecule tracking in live cells are discussed.
| Author details: | Johannes H. P. Schulz, Eli Barkai, Ralf MetzlerORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevLett.110.020602 |
| ISSN: | 0031-9007 |
| ISSN: | 1079-7114 |
| Title of parent work (English): | Physical review letters |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2013 |
| Publication year: | 2013 |
| Release date: | 2017/03/26 |
| Volume: | 110 |
| Issue: | 2 |
| Number of pages: | 5 |
| Funding institution: | CompInt graduate school; Academy of Finland (FiDiPro scheme); Israel Science Foundation |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
