PHASE-TRANSITIONS ON FRACTAL LATTICES WITH LONG-RANGE INTERACTIONS

被引：10

作者：

PENROSE, O ^{[1
]}

机构：

[1] OPEN UNIV,FAC MATH,MILTON KEYNES MK7 6AA,BUCKS,ENGLAND

来源：

JOURNAL OF STATISTICAL PHYSICS | 1986年 / 45卷 / 1-2期

关键词：

D O I：

10.1007/BF01033078

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：69 / 88

页数：20

共 19 条

[1] ESTIMATES OF CRITICAL LENGTHS AND CRITICAL-TEMPERATURES FOR CLASSICAL AND QUANTUM LATTICE SYSTEMS [J].

DRIESSLER, W ;

LANDAU, L ;

PEREZ, JF .

JOURNAL OF STATISTICAL PHYSICS, 1979, 20 (02) :123-162

[2] EXISTENCE OF A PHASE-TRANSITION IN A ONE-DIMENSIONAL ISING FERROMAGNET [J].

DYSON, FJ .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1969, 12 (02) :91-&

[3] CRITICAL EXPONENTS FOR LONG-RANGE INTERACTIONS [J].

FISHER, ME ;

NICKEL, BG ;

MA, S .

PHYSICAL REVIEW LETTERS, 1972, 29 (04) :917-&

[4] PHASE-TRANSITIONS ON FRACTALS .1. QUASILINEAR LATTICES [J].

GEFEN, Y ;

AHARONY, A ;

MANDELBROT, BB .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (06) :1267-1278

[5] GEOMETRIC IMPLEMENTATION OF HYPERCUBIC LATTICES WITH NONINTEGER DIMENSIONALITY BY USE OF LOW LACUNARITY FRACTAL LATTICES [J].

GEFEN, Y ;

MEIR, Y ;

MANDELBROT, BB ;

AHARONY, A .

PHYSICAL REVIEW LETTERS, 1983, 50 (03) :145-148

[6] PHASE-TRANSITIONS ON FRACTALS .3. INFINITELY RAMIFIED LATTICES [J].

GEFEN, Y ;

AHARONY, A ;

MANDELBROT, BB .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (06) :1277-1289

[7] PHASE-TRANSITIONS ON FRACTALS .2. SIERPINSKI GASKETS [J].

GEFEN, Y ;

AHARONY, A ;

SHAPIR, Y ;

MANDELBROT, BB .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (02) :435-444

[8] GENERAL FORMULATION OF GRIFFITHS INEQUALITIES [J].

GINIBRE, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1970, 16 (04) :310-&

[9] CORRELATIONS IN ISING FERROMAGNETS .I. [J].

GRIFFITH.RB .

JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (03) :478-&

[10]

Griffiths R.B., 1967, COMMUN MATH PHYS, V6, P121, DOI DOI 10.1007/BF01654128

← 1 2 →