Crossover Scaling of Apparent First-order Wetting in Two-dimensional Systems with Short-ranged Forces.

0466360 - ÚCHP 2017 RIV US eng J - Journal Article
Parry, A.O. - Malijevský, Alexandr
Crossover Scaling of Apparent First-order Wetting in Two-dimensional Systems with Short-ranged Forces.
Physical Review E. Roč. 93, č. 6 (2016), s. 062802. ISSN 2470-0045. E-ISSN 2470-0053
R&D Projects: GA ČR GA13-09914S
Grant - others:EPSRC(GB) EP/L0205641/1
Institutional support: RVO:67985858
Keywords : planar ising ferromagnet * line tension * functional renormalization
Subject RIV: CF - Physical ; Theoretical Chemistry
Impact factor: 2.366, year: 2016

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. gamma(eff)(11) = 3/2. We reproduce these results using an interfacial Hamiltonian model making a connection with previous studies of two-dimensional wetting, and we 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 tunneling. The crossover scaling functions are calculated explicitly within both the strong-fluctuation and intermediate-fluctuation regimes, and they determine uniquely and more generally the value of. gamma(eff)(11), which is nonuniversal for the latter regime. The location and the rounding of a line of pseudo-prewetting transitions occurring above the wetting temperature and off bulk coexistence, together with the crossover scaling of the parallel correlation length, are also discussed in detail.
Permanent Link: http://hdl.handle.net/11104/0264678