title: Aging effects and population splitting in single-particle trajectory averages.
abstract: 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 t(a) 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.
authors: Physics Department T30g, Technical University of Munich, 85747 Garching, Germany.
authors: Johannes H P
authors: JH
authors: Schulz
authors: Eli
authors: E
authors: Barkai
authors: Ralf
authors: R
authors: Metzler
mesh_terms: D002468:Cell Physiological Phenomena; D004058:Diffusion; D008954:Models, Biological; D008956:Models, Chemical; D008962:Models, Theoretical