• Rapid Communication

Anomalous diffusion in a quenched-trap model on fractal lattices

Tomoshige Miyaguchi and Takuma Akimoto
Phys. Rev. E 91, 010102(R) – Published 9 January 2015

Abstract

Models with mixed origins of anomalous subdiffusion have been considered important for understanding transport in biological systems. Here one such mixed model, the quenched-trap model (QTM) on fractal lattices, is investigated. It is shown that both ensemble- and time-averaged mean-square displacements (MSDs) show subdiffusion with different scaling exponents, i.e., this system shows weak ergodicity breaking. Moreover, time-averaged MSD exhibits aging and converges to a random variable following the modified Mittag-Leffler distribution. It is also shown that the QTM on a fractal lattice cannot be reduced to the continuous-time random walks if the spectral dimension of the fractal lattice is less than 2.

  • Figure
  • Figure
  • Received 3 September 2014

DOI:https://doi.org/10.1103/PhysRevE.91.010102

©2015 American Physical Society

Authors & Affiliations

Tomoshige Miyaguchi1,* and Takuma Akimoto2

  • 1Department of Mathematics Education, Naruto University of Education, Tokushima 772-8502, Japan
  • 2Department of Mechanical Engineering, Keio University, Yokohama 223-8522, Japan

  • *tmiyaguchi@naruto-u.ac.jp

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 91, Iss. 1 — January 2015

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×