Interface Hamiltonian with a position-dependent stiffness: A nonlinear functional renormalization group study

被引:10
作者
Boulter, CJ [1 ]
机构
[1] Katholieke Univ Leuven, Vaste Stof Fys & Magnetisme Lab, B-3001 Louvain, Belgium
关键词
D O I
10.1103/PhysRevE.57.2062
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A detailed study of the wetting behavior predicted from an effective interfacial Hamiltonian approach which allows for a position-dependent stiffness coefficient is given. A nonlinear functional renormalization group scheme is introduced enabling earlier studies to be extended into general dimensions 1 < d less than or equal to 3 while permitting a semiquantitative numerical analysis. We find that the prediction of Fisher and Jin of a bare critical wetting transition being driven fluctuation-induced first order can occur for dimensions d > d(c) approximate to 2.41 while at lower d the transition remains critical. For d > d(c) first-order wetting is found if the wetting parameter omega(T) is less than a tricritical value omega(t)(T). Importantly in three dimensions numerical analysis reveals omega(t) > omega thus clearly supporting the premise that the wetting transition in this case is indeed first order. We focus especially on demonstrating the robustness of this result under variation of the stiffness strength and renormalization group rescaling parameter. [S1063-651X(98)14002-3].
引用
收藏
页码:2062 / 2072
页数:11
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