Competing and aperiodic interactions in the Ising chain

被引:0
|
作者
Andrade, RFS
Salinas, SR
机构
[1] UNIV SAO PAULO,INST FIS,BR-05315970 SAO PAULO,BRAZIL
[2] UNIV FED BAHIA,INST FIS,SALVADOR,BA,BRAZIL
来源
PHYSICA A | 1997年 / 242卷 / 1-2期
关键词
D O I
10.1016/S0378-4371(97)00196-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the effects of the inclusion of aperiodic interactions in the Ising chain with competing ferro and antiferromagnetic couplings between nearest and next-nearest-neighbor sites. In particular, we obtain the exact ground state, including the spin arrangements and the residual entropies, for an Ising chain with extra aperiodic interactions associated with the fractal rules defined by a Koch curve.
引用
收藏
页码:70 / 80
页数:11
相关论文
共 50 条
  • [1] Competing and aperiodic interactions in the Ising chain
    Andrade, R.F.S.
    Salinas, S.R.
    Physica A: Statistical Mechanics and its Applications, 1997, 242 (1-2): : 70 - 80
  • [2] ISING CHAIN WITH COMPETING INTERACTIONS
    NAGLE, JF
    PHYSICAL REVIEW A, 1970, 2 (05): : 2124 - &
  • [3] Ising model on a Cayley tree with competing and aperiodic interactions
    Andrade, R.F.S.
    Salinas, S.R.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1997, 56 (02):
  • [4] Ising model on a Cayley tree with competing and aperiodic interactions
    Andrade, RFS
    Salinas, SR
    PHYSICAL REVIEW E, 1997, 56 (02): : 1429 - 1436
  • [5] Slow coarsening in an Ising chain with competing interactions
    Redner, S
    Krapivsky, PL
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (46): : 9229 - 9240
  • [6] ISING CHAIN WITH COMPETING INTERACTIONS IN A STAGGERED FIELD
    NAGLE, JF
    BONNER, JC
    JOURNAL OF CHEMICAL PHYSICS, 1971, 54 (02): : 729 - +
  • [7] ON THE RESIDUAL ENTROPY OF THE ONE-DIMENSIONAL ISING CHAIN WITH COMPETING INTERACTIONS
    HAJDUKOVIC, D
    MILOSEVIC, S
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (12): : L723 - L727
  • [8] A LINEAR-CHAIN APPROXIMATION TO THE ISING-MODEL WITH COMPETING INTERACTIONS
    PIRES, AST
    SILVA, NP
    FRANCO, BJO
    PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1982, 114 (01): : K63 - K65
  • [9] Aperiodic Ising quantum chain and its relation with a classical Ising chain in an inhomogeneous field
    Karevski, D
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (13): : L433 - L435
  • [10] Field behavior of an Ising model with aperiodic interactions
    Ghosh, A
    Haddad, TAS
    Salinas, SR
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2000, 14 (14): : 1473 - 1480