Algebraic self-similar renormalization in the theory of critical phenomena

被引：43

作者：

Gluzman, S

Yukalov, VI

机构：

[1] International Centre of Condensed Matter Physics, University of Brasilia

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.55.3983

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We consider the method of self-similar renormalization for calculating critical temperatures and critical indices. An optimized variant of the method for an effective summation of asymptotic series is suggested and illustrated by several different examples. The advantage of the method is in combining simplicity with high accuracy.

引用

页码：3983 / 3999

页数：17

共 31 条

[1] CRITICAL EXPONENTS FOR A 3-DIMENSIONAL O(N)-SYMMETRICAL MODEL WITH N-GREATER-THAN-3
ANTONENKO, SA
SOKOLOV, AI
[J]. PHYSICAL REVIEW E, 1995, 51 (03): : 1894 - 1898
[2] CRITICAL EXPONENTS FOR TRANSITIONS WITH =-2 COMPONENTS OF ORDER PARAMETER
BALIAN, R
TOULOUSE, G
[J]. PHYSICAL REVIEW LETTERS, 1973, 30 (12) : 544 - 546
[3] Baxter R., 1982, Exactly Solved Models in Statistical Mechanics
[4] RENORMALIZATION OF NONLINEAR SIGMA-MODEL IN 2+ EPSILON-DIMENSIONS-APPLICATION TO HEISENBERG FERROMAGNETS
BREZIN, E
ZINJUSTIN, J
[J]. PHYSICAL REVIEW LETTERS, 1976, 36 (13) : 691 - 694
[5] HIGHER-ORDER CONTRIBUTIONS TO CRITICAL EXPONENTS
BREZIN, E
LEGUILLO.JC
ZINNJUST.J
NICKEL, BG
[J]. PHYSICS LETTERS A, 1973, A 44 (03) : 227 - 228
[6] DEGENNES PG, 1985, SCALING CONCEPTS POL
[7] CLASSICAL, N-COMPONENT SPIN SYSTEMS OR FIELDS WITH NEGATIVE EVEN INTEGRAL N
FISHER, ME
[J]. PHYSICAL REVIEW LETTERS, 1973, 30 (15) : 679 - 681
[8] FLORY PJ, 1971, PRINCIPLES POLYM CHE, pCH12
[9] CRITICAL EXPONENTS IN THE DELTA-EXPANSION
GANDHI, SK
MCKANE, AJ
[J]. NUCLEAR PHYSICS B, 1994, 419 (03) : 424 - 436
[10] ASYMPTOTIC SERIES OF QUANTUM FIELD-THEORY AND THEIR SUMMATION
KAZAKOV, DI
SHIRKOV, DV
[J]. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 1980, 28 (8-9): : 465 - 499

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