@article{SchulzBarkaiMetzler2013,
  author    = {Schulz, Johannes H. P. and Barkai, Eli and Metzler, Ralf},
  title     = {Aging effects and population splitting in single-particle trajectoryaverages},
  series = {Physical review letters},
  volume    = {110},
  journal   = {Physical review letters},
  number    = {2},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {0031-9007},
  doi       = {10.1103/PhysRevLett.110.020602},
  pages     = {5},
  year      = {2013},
  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 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.},
  language  = {en}
}