ANALYTIC PROPERTIES OF THE CRITICAL-DYNAMICS EPSILON-EXPANSION

被引：9

作者：

BHATTACHARJEE, JK ^{[1
]}

FERRELL, RA ^{[1
]}

机构：

[1] UNIV MARYLAND, CTR THEORET PHYS, DEPT PHYS & ASTRON, COLLEGE PK, MD 20742 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 03期

关键词：

D O I：

10.1063/1.524451

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The ε-expansion technique for evaluating certain integrals in critical dynamics is studied in detail. The analytic properties in the complex ε plane are exploited to get improved answers at the physical value of ε. A different scheme - the ε̄ expansion - is suggested. This has a simpler analytic structure and thus gives more reliable results. © 1980 American Institute of Physics.

引用

页码：534 / 542

页数：9

共 13 条

[1]

Ahlfors L., 1966, COMPLEX ANAL

[2]

BHATTACHARJEE JK, 80030 U MAR TECH REP

[3] FIELD-THEORY RENORMALIZATION AND CRITICAL DYNAMICS ABOVE T - HELIUM, ANTI-FERROMAGNETS, AND LIQUID-GAS SYSTEMS [J].

DEDOMINICIS, C ;

PELITI, L .

PHYSICAL REVIEW B, 1978, 18 (01) :353-376

[4] DYNAMICAL SPIN-SPIN CORRELATION-FUNCTION OF AN ISOTROPIC FERROMAGNET AT TC IN 6-EPSILON DIMENSIONS [J].

DOHM, V .

SOLID STATE COMMUNICATIONS, 1976, 20 (07) :657-660

[5]

FERRELL RA, 1979, J LOW TEMP PHYS, V36, P165, DOI 10.1007/BF00174918

[6] FLUCTUATIONS AND LAMBDA PHASE TRANSITION IN LIQUID HELIUM [J].

FERRELL, RA ;

MENYHARD, N ;

SCHMIDT, H ;

SCHWABL, F ;

SZEPFALUSY, P .

ANNALS OF PHYSICS, 1968, 47 (03) :565-+

[7] DISPERSION IN 2ND SOUND AND ANOMALOUS HEAT CONDUCTION AT LAMBDA POINT OF LIQUID HELIUM [J].

FERRELL, RA ;

MENYHARD, N ;

SCHMIDT, H ;

SCHWABL, F ;

SZEPFALUSY, P .

PHYSICAL REVIEW LETTERS, 1967, 18 (21) :891-+

[8] CRITICAL DYNAMICS OF ISOTROPIC ANTIFERROMAGNETS USING RENORMALIZATION-GROUP METHODS - T GREATER-THAN-OR-EQUAL-TO TN [J].

FREEDMAN, R ;

MAZENKO, GF .

PHYSICAL REVIEW B, 1976, 13 (11) :4967-4983

[9] SCALING LAWS FOR DYNAMIC CRITICAL PHENOMENA [J].

HALPERIN, BI ;

HOHENBERG, PC .

PHYSICAL REVIEW, 1969, 177 (02) :952-+

[10] RENORMALIZATION-GROUP TREATMENT OF CRITICAL DYNAMICS OF SUPERFLUID-HELIUM, ISOTROPIC ANTIFERROMAGNET, AND EASY-PLANE FERROMAGNET [J].

HALPERIN, BI ;

HOHENBERG, PC ;

SIGGIA, ED .

PHYSICAL REVIEW B, 1976, 13 (03) :1299-1328

← 1 2 →