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Finite-size scaling in layered systems with surface ordering

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  • Li, Hao
  • Paczuski, Maya
  • Kardar, Mehran
  • Huang, Kerson

Abstract

Motivated by recent experiments on liquid-crystal films, we study finite-size scaling of a layered system in the presence of surface ordering. We find that there is an important length scale Ξs, characterizing the decay of surface order into the bulk. The usual finite-size scaling is generalized by including n/Ξs as an additional scaling variable, with n the number of layers. The bulk transition temperature is governed by a new scaling function Fs(n/Ξs), which decreases with n for n < Ξs, but increases with n for n >Ξs. Qualitative trends agree well with the experiments.

Suggested Citation

  • Li, Hao & Paczuski, Maya & Kardar, Mehran & Huang, Kerson, 1991. "Finite-size scaling in layered systems with surface ordering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 207-212.
    • Handle: RePEc:eee:phsmap:v:177:y:1991:i:1:p:207-212
    DOI: 10.1016/0378-4371(91)90155-6
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