Search Advanced
2002 Volume 11 Issue 9
Article Contents
Previous Article Next Article

G. Ismail, S. Hassan. 2002: Metastability of Ising spin chains with nearest-neighbour and next-nearest-neighbour interactions in random fields, Chinese Physics B, 11(9): 948-954.
Citation: G. Ismail, S. Hassan. 2002: Metastability of Ising spin chains with nearest-neighbour and next-nearest-neighbour interactions in random fields, Chinese Physics B, 11(9): 948-954.
shu

Metastability of Ising spin chains with nearest-neighbour and next-nearest-neighbour interactions in random fields

  • Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

  • Available Online: 30/09/2002
  • One-dimensional Ising systems in random fields (RFs) are studied taking into account the nearest-neighbour andnext-nearest-neighbour interactions. We investigate two distributions of RFs: binary and Gaussian distributions. Weconsider four cases of the exchange couplings: ferro-ferromagnetic (F-F), ferro-antiferromagnetic (F-AF), antiferro-ferromagnetic (AF-F) and antiferro-antiferromagnetic (AF-AF). The energy minima of chains of no more than 30 spinswith periodic boundary conditions are analysed exactly. We found that the average number of energy minima growsexponentially with the number of spins in both cases of RFs.The energy distributions across the corresponding energyminima are shown. The effects of RFs on both the average and density of metastable states are explained. For a weakRF, the energy distributions display a multipartitioned structure. We also discuss the frustration effect due to RFsand exchange fields. Finally, the distributions of magnetization are calculated. The absolute value of magnetizationaveraged over all metastable states decreases logarithmically with the number of spins.
  • 加载中
  • 加载中
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Export Citation
PDF
XML

Article Metrics

Article views(48) PDF downloads(0) Cited by(0)

Access History

Metastability of Ising spin chains with nearest-neighbour and next-nearest-neighbour interactions in random fields

  • Available Online: 30/09/2002

Abstract: One-dimensional Ising systems in random fields (RFs) are studied taking into account the nearest-neighbour andnext-nearest-neighbour interactions. We investigate two distributions of RFs: binary and Gaussian distributions. Weconsider four cases of the exchange couplings: ferro-ferromagnetic (F-F), ferro-antiferromagnetic (F-AF), antiferro-ferromagnetic (AF-F) and antiferro-antiferromagnetic (AF-AF). The energy minima of chains of no more than 30 spinswith periodic boundary conditions are analysed exactly. We found that the average number of energy minima growsexponentially with the number of spins in both cases of RFs.The energy distributions across the corresponding energyminima are shown. The effects of RFs on both the average and density of metastable states are explained. For a weakRF, the energy distributions display a multipartitioned structure. We also discuss the frustration effect due to RFsand exchange fields. Finally, the distributions of magnetization are calculated. The absolute value of magnetizationaveraged over all metastable states decreases logarithmically with the number of spins.

    HTML

Reference (0)

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return