5-LOOP EXPANSION FOR A UNIVERSAL COMBINATION OF CRITICAL AMPLITUDES OF THE 3D DILUTE ISING-MODEL

Authors
Citation
I. Mayer, 5-LOOP EXPANSION FOR A UNIVERSAL COMBINATION OF CRITICAL AMPLITUDES OF THE 3D DILUTE ISING-MODEL, Physica. A, 252(3-4), 1998, pp. 450-460
Citations number
32
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
252
Issue
3-4
Year of publication
1998
Pages
450 - 460
Database
ISI
SICI code
0378-4371(1998)252:3-4<450:5EFAUC>2.0.ZU;2-O
Abstract
Double expansions of the universal combination R-xi(+) of the critical amplitudes of the singular part of the specific heat and of the corre lation length in the homogeneous phase of the 3D and 2D dilute Ising m odels are calculated to the fourth and third order, respectively, in p owers of the renormalized coupling constants. The calculation is perfo rmed within the framework of renormalized perturbation theory in fixed dimension. Numerical estimates are obtained by the use of Pade-Borel- Leroy approximation. The R-xi(+) estimate for the 3D case is comparabl e in accuracy to the critical exponent values, while for the test case of 3D Ising model it is in accordance with the exact value 1/root 2 p i. (C) 1998 Elsevier Science B.V, All rights reserved.