The spherical model in an inhomogeneous external field is investigated. It is shown that whenever there is a phase transition the phases do not separate. This, together with decoupling effects in the magnetisation profile as well as in the transverse correlation functions, suggests abnormally large fluctuations and strong field dependence. These are confirmed by the study of symmetry-breaking fields acting on portions of the boundary.
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Abraham et al. (1980) studied this question.
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