Universality and the five-dimensional Ising model

被引：43

作者：

Blote, HWJ

Luijten, E

机构：

[1] Department of Physics, Delft University of Technology, 2628 CJ Delft

来源：

EUROPHYSICS LETTERS | 1997年 / 38卷 / 08期

关键词：

D O I：

10.1209/epl/i1997-00284-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We solve the long-standing discrepancy between Monte Carlo results and the renormalization prediction for the Binder cumulant of the five-dimensional Ising model. Our conclusions are based on accurate Monte Carlo data for systems with linear sizes up to L = 22. A detailed analysis of the corrections to scaling allows the extrapolation of these results to L = infinity. Our determination of the critical point, K-c = 0.1139150 (4), is more than an order of magnitude more accurate than previous estimates.

引用

页码：565 / 570

页数：6

共 18 条

[1] FINITE-SIZE TESTS OF HYPERSCALING [J].

BINDER, K ;

NAUENBERG, M ;

PRIVMAN, V ;

YOUNG, AP .

PHYSICAL REVIEW B, 1985, 31 (03) :1498-1502

[2] FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].

BINDER, K .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140

[3]

BINDER K, 1985, Z PHYS B CON MAT, V61, P13, DOI 10.1007/BF01308937

[4] FINITE SIZE EFFECTS IN PHASE-TRANSITIONS [J].

BREZIN, E ;

ZINNJUSTIN, J .

NUCLEAR PHYSICS B, 1985, 257 (06) :867-893

[5] ISING MODEL + SELF-AVOIDING WALKS ON HYPERCUBICAL LATTICES + HIGH-DENSITY EXPANSIONS [J].

FISHER, ME ;

GAUNT, DS .

PHYSICAL REVIEW, 1964, 133 (1A) :A224-A239

[6] CORRECTION TO SCALING EXPONENTS AND CRITICAL PROPERTIES OF THE N-VECTOR MODEL WITH DIMENSIONALITY GREATER-THAN 4 [J].

GUTTMANN, AJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (01) :233-239

[7] Finite-size scaling of the 5D Ising model - Comment [J].

Luijten, E .

EUROPHYSICS LETTERS, 1997, 37 (07) :489-491

[8] Finite-size scaling and universality above the upper critical dimensionality (vol 76, pg 1557, 1996) [J].

Luijten, E ;

Blote, HWJ .

PHYSICAL REVIEW LETTERS, 1996, 76 (19) :3662-3662

[9] Finite-size scaling and universality above the upper critical dimensionality [J].

Luijten, E ;

Blote, HWJ .

PHYSICAL REVIEW LETTERS, 1996, 76 (10) :1557-1561

[10] MONTE-CARLO METHOD FOR SPIN MODELS WITH LONG-RANGE INTERACTIONS [J].

LUIJTEN, E ;

BLOTE, HWJ .

INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS, 1995, 6 (03) :359-370

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