Critical wall perturbations and a local free energy functional

Michael E. Fisher and Helen Au-Yang

Physica A: Statistical Mechanics and its Applications, 1980, vol. 101, issue 1, 255-264

Abstract: On the basis of an ad hoc local free energy postulate recently advanced by de Gennes and Fisher, predictions are made for the local composition/magnetization perturbations induced near a wall by the presence of a second parallel wall at finite separation D, in a system at its bulk critical point. Despite some apparently serious limitations of the postulate, which are exposed, the most striking predictions for the behavior at large D are confirmed by new, exact calculations for the free energy of an n × ∞ spin 12 Ising model strip with distinct surface magnetic fields, H1 and Hn, imposed on opposite boundaries.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:101:y:1980:i:1:p:255-264

DOI: 10.1016/0378-4371(80)90112-0

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