Finite-size scaling in layered systems with surface ordering

Hao Li, Maya Paczuski, Mehran Kardar and Kerson Huang

Physica A: Statistical Mechanics and its Applications, 1991, vol. 177, issue 1, 207-212

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.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:177:y:1991:i:1:p:207-212

DOI: 10.1016/0378-4371(91)90155-6

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