METASTABILITY IN THE POTTS-MODEL ON THE CAYLEY TREE

被引：16

作者：

DEAGUIAR, FS ^{[1
]}

BERNARDES, LB ^{[1
]}

ROSA, SG ^{[1
]}

机构：

[1] UNIV SAO PAULO,INST FIS & QUIM SAO CARLOS,BR-13560 SAO CARLOS,SP,BRAZIL

来源：

JOURNAL OF STATISTICAL PHYSICS | 1991年 / 64卷 / 3-4期

关键词：

BETHE-PEIERLS AND BRAGG-WILLIAMS MAPS; BOUNDARY CONDITION; METASTABILITY; RESIDUAL ENTROPY;

D O I：

10.1007/BF01048311

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Metastability in the ferromagnetic p-state Potts model defined on the Cayley tree is discussed. It is shown that the sign of the boundary field H(s) determines the order of the transition as well as the stability of the low-temperature phase. Lowering the temperature with H(s) > 0, a system with p < 2 (p > 2) will display a second (first)-order transition to a metastable (stable) phase occurs if p > 2 (p < 2). In this case the system also has a residual entropy which is negative for p < 2.

引用

页码：673 / 682

页数：10

共 13 条

[1]

[Anonymous], 1966, EFFECTIVE FIELD THEO

[2] RANDOM CLUSTER MODEL ON A CAYLEY TREE [J].

BAUMGARTEL, HG ;

MULLERHARTMANN, E .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1982, 46 (03) :227-235

[3] COMPLEX ANALYTIC DYNAMICS ON THE RIEMANN SPHERE [J].

BLANCHARD, P .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 11 (01) :85-141

[4] THE RANDOM BOND POTTS-MODEL ON A CAYLEY TREE [J].

CHRISTIANO, PL ;

ROSA, SG .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1985, 18 (15) :L407-L412

[5] PHASE-DIAGRAM OF THE ONE-STATE POTTS-MODEL ON THE CAYLEY TREE [J].

DEAGUIAR, FS ;

BOSCO, FA ;

MARTINEZ, AS ;

ROSA, SG .

JOURNAL OF STATISTICAL PHYSICS, 1990, 58 (5-6) :1231-1238

[6] THE MAPPING XR+C AND THE ONE-STATE POTTS-MODEL [J].

DEAGUIAR, FS ;

ROSA, SG .

PHYSICS LETTERS A, 1990, 143 (4-5) :186-188

[7] THE POTTS-MODEL ON BETHE LATTICES .2. SPECIAL TOPICS [J].

DILIBERTO, F ;

MONROY, G ;

PERUGGI, F .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1987, 66 (03) :379-385

[8] CAYLEY TREES, ISING PROBLEM, AND THERMODYNAMIC LIMIT [J].

EGGARTER, TP .

PHYSICAL REVIEW B, 1974, 9 (07) :2989-2992

[9] CONVEXITY VIOLATIONS FOR NONINTEGER PARAMETERS IN CERTAIN LATTICE MODELS [J].

GRIFFITHS, RB ;

GUJRATI, PD .

JOURNAL OF STATISTICAL PHYSICS, 1983, 30 (03) :563-589

[10] STATISTICS OF 2-DIMENSIONAL LATTICES WITH MANY COMPONENTS [J].

KIHARA, T ;

MIDZUNO, Y ;

SHIZUME, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1954, 9 (05) :681-687

← 1 2 →