eCite Digital Repository
Universality relations
Citation
Delbourgo, R and Kenny, BG, Universality relations, Physical Review A, 33, (5) pp. 3292-3302. ISSN 1050-2947 (1986) [Refereed Article]
DOI: doi:10.1103/PhysRevA.33.3292
Abstract
By analyzing the functional equations governing N replication for real nonlinear maps on the (unit) interval (of order z), we have derived the asymptotic (N-->∞) behaviors of the scaling constants alpha and delta, alpha(z)~(2z)(N-1)/(z-1), delta/alphaz=(z-1)/(z-1/2). In addition, we have determined the limiting forms of the universal functions. The predictions are in excellent agreement with (separately compiled) numerical data over a wide range of z values and cycle structures.
Item Details
Item Type: | Refereed Article |
---|---|
Research Division: | Physical Sciences |
Research Group: | Particle and high energy physics |
Research Field: | Particle physics |
Objective Division: | Expanding Knowledge |
Objective Group: | Expanding knowledge |
Objective Field: | Expanding knowledge in the physical sciences |
UTAS Author: | Delbourgo, R (Professor Robert Delbourgo) |
UTAS Author: | Kenny, BG (Mr Brian Kenny) |
ID Code: | 90857 |
Year Published: | 1986 |
Web of Science® Times Cited: | 14 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2014-04-29 |
Last Modified: | 2014-04-29 |
Downloads: | 0 |
Repository Staff Only: item control page