Hierarchical Diffusion, Aging and Multifractality

Details Hierarchical Diffusion, Aging and Multifractality Hierarchical Diffusion, Aging and Multifractality

1996-04-05

arxiv.org/abs/cond-mat/9604033v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

28 pages, LaTex, 6 PostScript figures. To appear in Journal of Physics A

Scientific paper

10.1088/0305-4470/30/4/016

We study toy aging processes in hierarchically decomposed phase spaces where the equilibrium probability distributions are multifractal. We found that the an auto-correlation function, survival-return probability, shows crossover behavior from a power law $t^{-x}$ in the quasi-equilibrium regime ($t\ll\tw$) to another power law $t^{-\lambda}$ ($\lambda \geq x$) in the off-equilibrium regime ($t\gg\tw$) obeying a simple $t/\tw$ scaling law. The exponents $x$ and $\lambda$ are related with the so called mass exponents which characterize the multifractality.

Affiliated with

Also associated with

No associations

Rating

Hierarchical Diffusion, Aging and Multifractality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hierarchical Diffusion, Aging and Multifractality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hierarchical Diffusion, Aging and Multifractality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-199308