| Full text | |
| Author(s): |
Lemke, N.
;
Campbell, Ian A.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Physical Review E; v. 84, n. 4, p. 6-pg., 2011-10-18. |
| Abstract | |
Diffusion on a diluted hypercube has been proposed as a model for glassy relaxation and is an example of the more general class of stochastic processes on graphs. In this article we determine numerically through large-scale simulations the eigenvalue spectra for this stochastic process and calculate explicitly the time evolution for the autocorrelation function and for the return probability, all at criticality, with hypercube dimensions N up to N = 28. We show that at long times both relaxation functions can be described by stretched exponentials with exponent 1/3 and a characteristic relaxation time which grows exponentially with dimension N. The numerical eigenvalue spectra are consistent with analytic predictions for a generic sparse network model. (AU) | |
| FAPESP's process: | 09/10382-2 - Machine learning for molecular systems biology |
| Grantee: | Ney Lemke |
| Support Opportunities: | Regular Research Grants |