Renormalization group calculations for wetting transitions of infinite order and continuously varying order: Local interface Hamiltonian approach

J. O. Indekeu, Kenichiro Koga, H. Hooyberghs, A. O. Parry

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3 Citations (Scopus)

Abstract

We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with short-range forces and a two-component order parameter. Using linear functional renormalization group calculations within a local interface Hamiltonian approach, we show that the infinite-order transitions are robust. The exponential singularity (implying 2-αs=∞) of the surface free energy excess at infinite-order wetting as well as the precise algebraic divergence (with βs=-1) of the wetting layer thickness are not modified as long as ω⊥=1/2). In contrast, the nonuniversal critical wetting transitions of finite but continuously varying order are modified when thermal fluctuations are taken into account, in line with predictions from earlier calculations on similar models displaying weak, intermediate, and strong fluctuation regimes.

Original languageEnglish
Article number022122
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number2
DOIs
Publication statusPublished - Aug 13 2013

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Wetting Transition
Renormalization Group
wetting
Wetting
Fluctuations
Phase Equilibria
Functional Model
Surface Energy
Linear Functional
divergence
Density Functional
Order Parameter
Mean Field
free energy
Excess
Free Energy
Divergence
Phase Transition
Singularity
predictions

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

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AU - Parry, A. O.

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