Upper and lower bounds for the ground state entropy of antiferromagnetic Potts models

被引：38

作者：

Shrock, R

Tsai, SH

机构：

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.55.6791

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We derive rigorous upper and lower bounds for the ground state entropy of the q-state Potts antiferromagnet on the honeycomb and triangular lattices, These bounds are quite restrictive, especially for large q.

引用

页码：6791 / 6794

页数：4

共 23 条

[1] SERIES EXPANSIONS FOR THE Q-COLOR PROBLEM ON THE SQUARE AND CUBIC LATTICES [J].

BAKAEV, AV ;

KABANOVICH, VI .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (20) :6731-6739

[2]

BAKER GA, 1971, J COMB THEORY, V10, P217

[3] Q-COLORINGS OF THE TRIANGULAR LATTICE [J].

BAXTER, RJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (14) :2821-2839

[4] CHROMATIC POLYNOMIALS OF LARGE TRIANGULAR LATTICES [J].

BAXTER, RJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (15) :5241-5261

[5]

Baxter RJ., 1982, Exactly solved models in statistical mechanics

[6]

Biggs N.L., 1977, B LOND MATH SOC, V9, P54

[7]

CHEN X, 1987, INT J MOD PHYS B, V1, P111

[8] The entropy of water and the third law of thermodynamics - The heat capacity of ice from 15 to 273 degrees K [J].

Giauque, WF ;

Stout, JW .

JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1936, 58 :1144-1150

[9] LIMIT OF CHROMATIC POLYNOMIALS [J].

KIM, D ;

ENTING, IG .

JOURNAL OF COMBINATORIAL THEORY SERIES B, 1979, 26 (03) :327-336

[10]

Lancaster P, 1985, THEORY MATRICES

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