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Further results on the critical behaviour of the mean spherical model: layer and local susceptibilities

Author

Listed:
  • Amin, Magdy E.
  • Hedar, M.R.
  • El-Wahab, N.H.Abd

Abstract

The critical behaviour of some properties of the ferromagnetic mean spherical model with a film geometry L×∞2 and the Neumann–Dirichlet boundary conditions is investigated in the presence of three external fields: a bulk field, a step-like (+−) field which changes sign at distance Lx(0⩽x⩽1) from the Neumann boundary and a surface field acting on the lth layer. The behaviour of the mean spherical constraint is studied at three different temperatures and field regimes: high-temperature bulk limit, critical finite-size scaling regime, and low-temperature moderate-field regime. Exact expressions for the layer and local susceptibilities are derived and studied in the three different regimes.

Suggested Citation

  • Amin, Magdy E. & Hedar, M.R. & El-Wahab, N.H.Abd, 2002. "Further results on the critical behaviour of the mean spherical model: layer and local susceptibilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(3), pages 574-584.
    • Handle: RePEc:eee:phsmap:v:305:y:2002:i:3:p:574-584
    DOI: 10.1016/S0378-4371(01)00557-X
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