BETHE LATTICE APPROXIMATION OF THE ONE-DIMENSIONAL POTTS-MODEL WITH LONG-RANGE INTERACTION

被引:2
作者
BERNARDES, LB
ROSA, SG
机构
[1] Instituto de Física e Química de São Carlos, Universidade de São Paulo
关键词
D O I
10.1016/0375-9601(94)90584-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The mean-field approximation of the one-dimensional ferromagnetic p-state Potts model with interactions decaying as a power law is developed using a modified Bethe lattice recently introduced. it is shown that the transition is of second order (first order) for p less-than-or-equal-to 2 (p > 2). The critical behavior is also presented.
引用
收藏
页码:193 / 199
页数:7
相关论文
共 19 条
[1]   DISCONTINUITY OF THE MAGNETIZATION IN ONE-DIMENSIONAL 1/[X-Y]2 ISING AND POTTS MODELS [J].
AIZENMAN, M ;
CHAYES, JT ;
CHAYES, L ;
NEWMAN, CM .
JOURNAL OF STATISTICAL PHYSICS, 1988, 50 (1-2) :1-40
[2]   MEAN-FIELD THEORY OF THE ASHKIN-TELLER SPIN-GLASS [J].
CHRISTIANO, PL ;
ROSA, SG .
PHYSICAL REVIEW A, 1986, 34 (01) :730-733
[3]  
CHRISTIANO PL, 1985, THESIS IFQSC U SAO P
[4]   THE MAPPING XR+C AND THE ONE-STATE POTTS-MODEL [J].
DEAGUIAR, FS ;
ROSA, SG .
PHYSICS LETTERS A, 1990, 143 (4-5) :186-188
[5]   METASTABILITY IN THE POTTS-MODEL ON THE CAYLEY TREE [J].
DEAGUIAR, FS ;
BERNARDES, LB ;
ROSA, SG .
JOURNAL OF STATISTICAL PHYSICS, 1991, 64 (3-4) :673-682
[6]   A NEW SYMMETRY OF THE POTTS-MODEL ON THE BETHE LATTICE [J].
DEAGUIAR, FS ;
ROSA, SG .
PHYSICS LETTERS A, 1992, 162 (03) :232-235
[7]  
DEAGUIAR FS, 1989, J STAT PHYS, V58, P1231
[8]  
DEAGUIAR FS, 1992, THESIS IFQSC U SAO P
[9]   EXISTENCE OF A PHASE-TRANSITION IN A ONE-DIMENSIONAL ISING FERROMAGNET [J].
DYSON, FJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1969, 12 (02) :91-&
[10]   ISING FERROMAGNET WITH DISCONTINUOUS LONG-RANGE ORDER [J].
DYSON, FJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 21 (04) :269-&