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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.

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Author:Johannes H. P. Schulz, Eli Barkai, Ralf MetzlerORCiDGND
ISSN:0031-9007 (print)
ISSN:1079-7114 (online)
Parent Title (English):Physical review letters
Publisher:American Physical Society
Place of publication:College Park
Document Type:Article
Year of first Publication:2013
Year of Completion:2013
Release Date:2017/03/26
Funder:CompInt graduate school; Academy of Finland (FiDiPro scheme); Israel Science Foundation
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert