@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}
}
@article{JeonBarkaiMetzler2013,
  author    = {Jeon, Jae-Hyung and Barkai, Eli and Metzler, Ralf},
  title     = {Noisy continuous time random walks},
  series = {The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr},
  volume    = {139},
  journal   = {The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr},
  number    = {12},
  publisher = {American Institute of Physics},
  address   = {Melville},
  issn      = {0021-9606},
  doi       = {10.1063/1.4816635},
  pages     = {15},
  year      = {2013},
  abstract  = {Experimental studies of the diffusion of biomolecules within biological cells are routinely confronted with multiple sources of stochasticity, whose identification renders the detailed data analysis of single molecule trajectories quite intricate. Here, we consider subdiffusive continuous time random walks that represent a seminal model for the anomalous diffusion of tracer particles in complex environments. This motion is characterized by multiple trapping events with infinite mean sojourn time. In real physical situations, however, instead of the full immobilization predicted by the continuous time random walk model, the motion of the tracer particle shows additional jiggling, for instance, due to thermal agitation of the environment. We here present and analyze in detail an extension of the continuous time random walk model. Superimposing the multiple trapping behavior with additive Gaussian noise of variable strength, we demonstrate that the resulting process exhibits a rich variety of apparent dynamic regimes. In particular, such noisy continuous time random walks may appear ergodic, while the bare continuous time random walk exhibits weak ergodicity breaking. Detailed knowledge of this behavior will be useful for the truthful physical analysis of experimentally observed subdiffusion.},
  language  = {en}
}
@misc{BarkaiGariniMetzler2013,
  author    = {Barkai, Eli and Garini, Yuval and Metzler, Ralf},
  title     = {Electrostatic effects in living cells Reply},
  series = {PHYSICS TODAY},
  volume    = {66},
  journal   = {PHYSICS TODAY},
  number    = {7},
  publisher = {AMER INST PHYSICS},
  address   = {MELVILLE},
  issn      = {0031-9228},
  pages     = {11 -- 11},
  year      = {2013},
  language  = {en}
}