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Universality relations


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


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

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