Phase transition in the nearest-neighbor continuum Potts model

被引：5

作者：

Bertin, E ^{[1
]}

Billiot, JM ^{[1
]}

Drouilhet, R ^{[1
]}

机构：

[1] Univ Grenoble 2, Labsad, F-38040 Grenoble 9, France

来源：

JOURNAL OF STATISTICAL PHYSICS | 2004年 / 114卷 / 1-2期

关键词：

Gibbs states; Delaunay triangulation; pairwise interaction; D; L; R; equations; local specifications; phase transition;

D O I：

10.1023/B:JOSS.0000003056.84984.8b

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present study we establish a phase transition in the nearest-neighbor continuum Potts model. The repulsion between particles of different type acts only on a nearest-neighbor graph, more precisely a subgraph of the Delaunay graph. This work is an adaptation of the Lebowitz and Lieb soft-core continuum Potts model.

引用

页码：79 / 100

页数：22

共 50 条

[21] NEAREST-NEIGHBOR ISING-MODEL WITH A UNIAXIAL INCOMMENSURATE PHASE AND A LIFSHITZ POINT
DOMANY, E
SCHAUB, B
PHYSICAL REVIEW B, 1984, 29 (07): : 4095 - 4107
[22] PHASE-TRANSITIONS OF A NEAREST-NEIGHBOR ISING-MODEL SPIN GLASS
BINDER, K
SCHRODER, K
PHYSICAL REVIEW B, 1976, 14 (05) : 2142 - 2152
[23] Influence of nearest-neighbor Coulomb interactions on the phase diagram of the ferromagnetic Kondo model
Malvezzi, AL
Yunoki, S
Dagotto, E
PHYSICAL REVIEW B, 1999, 59 (10) : 7033 - 7042
[24] TRICRITICAL PHENOMENA IN AN ISING-MODEL WITH NEAREST-NEIGHBOR AND NEXT-NEAREST-NEIGHBOR INTERACTIONS
PLISCHKE, M
ZOBIN, D
CANADIAN JOURNAL OF PHYSICS, 1977, 55 (13) : 1125 - 1133
[25] ADEQUACY OF THE NEAREST-NEIGHBOR LCAO MODEL HAMILTONIAN FOR THE FCC TRANSITION AND NOBLE-METALS
SMITH, PV
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1985, 128 (02): : 563 - 573
[26] Tensored nearest-neighbor classifiers
Chalasani, V
Beling, PA
1998 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS, VOLS 1-5, 1998, : 2913 - 2916
[27] NEAREST-NEIGHBOR ANALYSIS IN PRACTICE
HINZ, PN
IOWA STATE JOURNAL OF RESEARCH, 1987, 62 (02): : 199 - 217
[28] NEAREST-NEIGHBOR CLASSIFIER FOR THE PERCEPTRON
BOUTEN, M
VANDENBROECK, C
EUROPHYSICS LETTERS, 1994, 26 (01): : 69 - 74
[29] Kernel nearest-neighbor algorithm
Yu, K
Ji, L
Zhang, XG
NEURAL PROCESSING LETTERS, 2002, 15 (02) : 147 - 156
[30] NEAREST-NEIGHBOR ANALYSIS IN PRACTICE
HINZ, PN
BIOMETRICS, 1985, 41 (04) : 1087 - 1087

← 1 2 3 4 5 →