Crossover scaling of apparent first-order wetting in two dimensional
systems with short-ranged forces
systems with short-ranged forces
File(s)
Accepted version
Author(s)
Parry, AO
Malijevsky, A
Type
Journal Article
Abstract
Recent analyses of wetting in the semi-infinite two dimensional Ising model, extended to include both a surface coupling enhancement and a surface field, have shown that the wetting transition
may be effectively first-order and that surprisingly the surface susceptibility develops a divergence described by an anomalous exponent with value eff11 = 3 2 . We reproduce these results using an
interfacial Hamiltonian model making connection with previous studies of two dimensional wetting and show that they follow from the simple crossover scaling of the singular contribution to the surface
free-energy which describes the change from apparent first-order to continuous (critical) wetting due to interfacial tunnelling. The crossover scaling functions are calculated explicitly within both the strong-fluctuation and intermediate-fluctuation regimes and determine uniquely and more generally the value of eff11 which is non-universal for the latter regime. The location and the rounding of a line of pseudo pre-wetting transitions occurring above the wetting temperature and off bulk coexistence, together with the crossover scaling of the parallel correlation length, is also discussed in detail.
may be effectively first-order and that surprisingly the surface susceptibility develops a divergence described by an anomalous exponent with value eff11 = 3 2 . We reproduce these results using an
interfacial Hamiltonian model making connection with previous studies of two dimensional wetting and show that they follow from the simple crossover scaling of the singular contribution to the surface
free-energy which describes the change from apparent first-order to continuous (critical) wetting due to interfacial tunnelling. The crossover scaling functions are calculated explicitly within both the strong-fluctuation and intermediate-fluctuation regimes and determine uniquely and more generally the value of eff11 which is non-universal for the latter regime. The location and the rounding of a line of pseudo pre-wetting transitions occurring above the wetting temperature and off bulk coexistence, together with the crossover scaling of the parallel correlation length, is also discussed in detail.
Date Issued
2016-06-23
Date Acceptance
2016-06-09
Citation
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 2016, 93
ISSN
1063-651X
Publisher
American Physical Society
Journal / Book Title
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume
93
Copyright Statement
©2016 American Physical Society
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/L020564/1
Subjects
Science & Technology
Physical Sciences
Physics, Fluids & Plasmas
Physics, Mathematical
Physics
PLANAR ISING FERROMAGNET
LINE TENSION
FUNCTIONAL RENORMALIZATION
SOLVABLE MODEL
2 DIMENSIONS
TRANSITIONS
UNIVERSALITY
WALLS
Publication Status
Published
Article Number
062802