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Critical wall perturbations and a local free energy functional

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  • Fisher, Michael E.
  • Au-Yang, Helen

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.

Suggested Citation

  • Fisher, Michael E. & Au-Yang, Helen, 1980. "Critical wall perturbations and a local free energy functional," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(1), pages 255-264.
    • Handle: RePEc:eee:phsmap:v:101:y:1980:i:1:p:255-264
    DOI: 10.1016/0378-4371(80)90112-0
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    1. Hohenberg, Paul, 1972. "Change in Rural France in the Period of Industrialization, 1830–1914," The Journal of Economic History, Cambridge University Press, vol. 32(1), pages 219-240, March.
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