SELF-AVOIDING WALKS IN 4 DIMENSIONS - LOGARITHMIC CORRECTIONS

被引：38

作者：

GRASSBERGER, P ^{[1
]}

HEGGER, R ^{[1
]}

SCHAFER, L ^{[1
]}

机构：

[1] UNIV ESSEN GESAMTHSCH, DEPT PHYS, D-45117 ESSEN, GERMANY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 22期

关键词：

D O I：

10.1088/0305-4470/27/22/006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present simulation results for long (N less-than-or-equal-to 4000) self-avoiding walks in four dimensions. We find definite indications of logarithmic corrections, but the data are poorly described by the asymptotically leading terms. Detailed comparisons are presented with renormalization-group flow equations derived by direct renormalization and with the results of a field-theoretic calculation.

引用

页码：7265 / 7282

页数：18

共 33 条

[1]

[Anonymous], 1979, SCALING CONCEPTS POL

[2] NEW MONTE-CARLO METHOD FOR THE SELF-AVOIDING WALK [J].

BERRETTI, A ;

SOKAL, AD .

JOURNAL OF STATISTICAL PHYSICS, 1985, 40 (3-4) :483-531

[3] POLYMERS IN SOLUTIONS - PRINCIPLES AND APPLICATIONS OF A DIRECT RENORMALIZATION METHOD [J].

CLOIZEAUX, JD .

JOURNAL DE PHYSIQUE, 1981, 42 (05) :635-652

[4] POLYMERS AND G-ABSOLUTE-VALUE-PHI-4 THEORY IN FOUR DIMENSIONS [J].

DECARVALHO, CA ;

CARACCIOLO, S ;

FROHLICH, J .

NUCLEAR PHYSICS B, 1983, 215 (02) :209-248

[5]

Des Cloizeaux J, 1990, POLYM SOLUTION THEIR

[6] CLUSTER EXPANSION FOR A POLYMER CHAIN [J].

DOMB, C ;

JOYCE, GS .

JOURNAL OF PHYSICS PART C SOLID STATE PHYSICS, 1972, 5 (09) :956-&

[7] GEOMETRY OF POLYMER-CHAINS NEAR THE THETA-POINT AND DIMENSIONAL REGULARIZATION [J].

DUPLANTIER, B .

JOURNAL OF CHEMICAL PHYSICS, 1987, 86 (07) :4233-4244

[8] POLYMER-CHAINS IN 4 DIMENSIONS [J].

DUPLANTIER, B .

NUCLEAR PHYSICS B, 1986, 275 (02) :319-355

[9] DIMENSIONAL RENORMALIZATIONS OF POLYMER THEORY [J].

DUPLANTIER, B .

JOURNAL DE PHYSIQUE, 1986, 47 (04) :569-579

[10] MONTE-CARLO SIMULATIONS OF 3D SELF-AVOIDING WALKS [J].

GRASSBERGER, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (12) :2769-2776

← 1 2 3 4 →