ISSN:
1572-9613
Keywords:
Finite size
;
scaling
;
critical phenomena
;
logarithmic corrections
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Renormalization group calculations ind = 4 andd = 4 −ɛ are performed for a system of finite size. A form of mean-field theory is used which yields a rounded transition for a finite system, and this allows a sensible expansion in fluctuations. A combination of Ewald and Poisson sum techniques is used to produce explicit numerical results for the specific heat ind = 4 which, with the setting of two nonuniversal metrical factors and the fourth-order coupling constant may be compared with simulations. The numerical visibility of logarithmic corrections is investigated. The universal scaling function for the specific heat to relativeO(ɛ) is also evaluated numerically.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01009013
