title: Ultraslow convergence to ergodicity in transient subdiffusion.
abstract: We investigate continuous time random walks with truncated α-stable trapping times. We prove distributional ergodicity for a class of observables; namely, the time-averaged observables follow the probability density function called the Mittag-Leffler distribution. This distributional ergodic behavior persists for a long time, and thus the convergence to the ordinary ergodicity is considerably slower than in the case in which the trapping-time distribution is given by common distributions. We also find a crossover from the distributional ergodic behavior to the ordinary ergodic behavior.
authors.affiliation: Department of Applied Physics, Osaka City University, Osaka, Japan. tomo@a-phys.eng.osaka-cu.ac.jp
authors.forename: Tomoshige
authors.initials: T
authors.lastname: Miyaguchi
authors.forename: Takuma
authors.initials: T
authors.lastname: Akimoto