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

Magdy E. Amin, M.R. Hedar and N.H.Abd El-Wahab

Physica A: Statistical Mechanics and its Applications, 2002, vol. 305, issue 3, 574-584

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.

Keywords: Mean spherical model; Finite-size scaling; Susceptibilities (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:305:y:2002:i:3:p:574-584

DOI: 10.1016/S0378-4371(01)00557-X

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