English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Diffusion on a diluted hypercube has been proposed as a model for glassyrelaxation and is an example of the more general class of stochastic processeson graphs. In this article we determine numerically through large scalesimulations the eigenvalue spectra for this stochastic process and calculateexplicitly the time evolution for the autocorrelation function and for thereturn probability, all at criticality, with hypercube dimensions $N$ up toN=28. We show that at long times both relaxation functions can be described bystretched exponentials with exponent 1/3 and a characteristic relaxation timewhich grows exponentially with dimension $N$. The numerical eigenvalue spectraare consistent with analytic predictions for a generic sparse network model.

Stretched exponential behavior and random walks on diluted hypercubic lattices