title: Anomalous diffusion in a quenched-trap model on fractal lattices.
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.
authors: Department of Mathematics Education, Naruto University of Education, Tokushima 772-8502, Japan.
authors: Tomoshige
authors: T
authors: Miyaguchi
authors: Department of Mechanical Engineering, Keio University, Yokohama 223-8522, Japan.
authors: Takuma
authors: T
authors: Akimoto
mesh_terms: D004058:Diffusion; D017709:Fractals; D008962:Models, Theoretical; D013269:Stochastic Processes