Aging Effects and Population Splitting in Single-Particle Trajectory Averages

作者:Schulz Johannes H P*; Barkai Eli; Metzler Ralf
来源:Physical Review Letters, 2013, 110(2): 020602.
DOI:10.1103/PhysRevLett.110.020602

摘要

We study time averages of single particle trajectories in scale-free anomalous diffusion processes, in which the measurement starts at some time t(a) %26gt; 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. DOI: 10.1103/PhysRevLett.110.020602

  • 出版日期2013-1-8