Coupled Hamiltonians and three-dimensional short-range wetting transitions

  title={Coupled Hamiltonians and three-dimensional short-range wetting transitions},
  author={Andrew O. Parry and Peter S. Swain},
  journal={Physica A-statistical Mechanics and Its Applications},
  • A. O. Parry, P. Swain
  • Published 9 October 1997
  • Physics
  • Physica A-statistical Mechanics and Its Applications
9 Citations
The influence of non-locality on fluctuation effects for 3D short-ranged wetting
We use a non-local interfacial Hamiltonian to revisit a number of problems associated with the fluctuation theory of critical wetting transitions in three-dimensional systems with short-ranged
Microscopic approach to critical phenomena at interfaces: an application to complete wetting in the Ising model.
This work applies the HRT to study wetting critical phenomena in a planar geometry and avoids the explicit definition of effective surface Hamiltonians but leads, close to the wetting transition, to the same renormalization group equation already studied by RG techiques.
Coupling of interfacial and spin-like coordinates in effective Hamiltonians for complete and critical wetting
In this paper the effects of including position-dependent stiffness coefficients in the coupled effective Hamiltonian models appropriate for both complete and critical wetting are considered. This
Cross-Over Between First-Order and Critical Wetting at the Liquid-Vapour Interface of n-Alkane/Methanol Mixtures: Tricritical Wetting and Critical Prewetting
A simple mean-field theory is presented which describes the basic observations of recent experiments revealing rich wetting behaviour of n-alkane/methanol mixtures at the liquid-vapour interface. The
A review of recent theoretical advances in the study of wetting phenomena is presented concentrating on the application of effective interface models for simple fluids. These models are particularly
Wetting of methanol on the n-alkanes: Observation of short-range critical wetting
We present results of the wetting properties of methanol at the liquid–vapor interface of different n-alkanes ranging from hexane to undecane. Measurement of the contact angle shows that, as the bulk
Grain Boundary Complexions and Phase Transformations in Al- and Cu-Based Alloys
High-pressure torsion has been used to obtain the ultra-fine grained (UFG) state with a high specific area of grain boundaries (GBs) in Al-Zn, Al-Mg, Cu-Ag, Cu-Co, and Cu-Ni solid solutions with
Continuous and discontinuous grain-boundary wetting in ZnxAl1-x
Temperature dependences of the contact angle T between i specially grown tilt grain boundaries GBs in Al and the Zn-rich melt; ii tilt GBs in Zn and the Al-rich melt; and iii tilt GBs in Zn and the


Three-dimensional wetting revisited
We review progress made towards resolving long-standing problems associated with the theory of wetting transitions in three-dimensional systems with short-ranged forces (corresponding to the marginal
Stiffness matrix formalism for wetting transitions I. Short-range forces
Recent studies of complete wetting by a simple fluid at a planar substrate (wall) have emphasized the role of coupling between order parameter fluctuations near the wall and the depinning interface.
Effective interface Hamiltonians for short-range critical wetting.
  • Jin, Fisher
  • Physics
    Physical review. B, Condensed matter
  • 1993
The derivation of effective interface Hamiltonians on the basis of an underlying noncritical bulk order-parameter theory is critically examined for use in studying critical wetting transitions in
Wetting transitions in fluids with short-ranged forces: correlation functions and criticality
The nature of the pairwise correlation function G for a fluid undergoing critical and complete wetting transitions at an adsorbing substrate (wall) is examined using various and
Fluctuations, correlation functions and interfacial Hamiltonians for the complete wetting phase transition
Exact statistical mechanical sum rules are combined with thermodynamic scaling arguments to determine the leading-order singular contributions to the transverse moments of the density-density
Scaling regimes and functional renormalization for wetting transitions.
The functional renormalization-group approach yields a unified description of all scaling regimes, including a strong-fluctuation regime, and embodies the correct scaling behavior at a continuous unbinding transition.
Effective interfacial Hamiltonian theories of correlation functions at wetting transitions
The Fisher-Jin crossing criterion derivation of the effective interfacial Hamiltonian for wetting transitions is generalized to consider surfaces of fixed magnetization that may remain bound to the
Monte Carlo simulation of a two-field effective Hamiltonian of complete wetting
Recent work on the complete wetting transition for three-dimensional systems with short-ranged forces has emphasized the role played by the coupling of order-parameter fluctuations near the wall and