UNIVERSAL AMPLITUDES IN FINITE-SIZE SCALING - THE ANTIPERIODIC 3D SPHERICAL MODEL

被引：18

作者：

HENKEL, M ^{[1
]}

WESTON, RA ^{[1
]}

机构：

[1] UNIV DURHAM,DEPT MATH SCI,CTR PARTICLE THEORY,DURHAM DH1 3LE,ENGLAND

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 04期

关键词：

D O I：

10.1088/0305-4470/25/4/010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The antiperiodic 3D spherical model is studied on a hypercubic lattice, two sides of which are finite and the other infinite. The universal correlation length finite-size scaling amplitude in the conjectured relationship xi/L = A/x is calculated exactly and found to be A = 0.1361 ..., which should be compared with the antiperiodic 3D Ising model value of A congruent-to 0.12.

引用

页码：L207 / L211

页数：5

共 22 条

[1] NUMERICAL DIFFICULTIES IN OBTAINING 3D CRITICAL EXPONENTS FROM PLATONIC SOLIDS [J].

ALCARAZ, FC ;

HERRMANN, HJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (16) :5735-5736

[2] CRITICAL PHENOMENA IN SYSTEMS OF FINITE THICKNESS .1. SPHERICAL MODEL [J].

BARBER, MN ;

FISHER, ME .

ANNALS OF PHYSICS, 1973, 77 (1-2) :1-78

[3]

BAXTER RJ, 1982, EXACTLY SOLVED MODEL, P60

[4] AN INVESTIGATION OF FINITE SIZE SCALING [J].

BREZIN, E .

JOURNAL DE PHYSIQUE, 1982, 43 (01) :15-22

[5] UNIVERSAL AMPLITUDES IN FINITE-SIZE SCALING - GENERALIZATION TO ARBITRARY DIMENSIONALITY [J].

CARDY, JL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (13) :L757-L760

[6] CONFORMAL-INVARIANCE AND UNIVERSALITY IN FINITE-SIZE SCALING [J].

CARDY, JL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (07) :L385-L387

[7] HAMILTONIAN-FORMULATION OF THE SPHERICAL MODEL IN D = R + 1 DIMENSIONS [J].

HENKEL, M ;

HOEGER, C .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1984, 55 (01) :67-73

[8] UNIVERSAL RATIOS OF SCALING AMPLITUDES IN THE HAMILTONIAN LIMIT OF THE 3D ISING-MODEL [J].

HENKEL, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (05) :L247-L249

[9] AMPLITUDE-EXPONENT RELATION FOR THE CORRELATION LENGTH IN THE (2 + 1)-DIMENSIONAL ISING-MODEL [J].

HENKEL, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (12) :L769-L770

[10] AMPLITUDE EXPONENT RELATION FOR THE CORRELATION LENGTH IN THE SPHERICAL MODEL [J].

HENKEL, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (04) :L227-L230

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