Critical Casimir forces between planar and crenellated surfaces

摘要: We study critical Casimir forces between planar walls and geometrically structured substrates within mean-field theory. As substrate structures, crenellated surfaces consisting of periodic arrays rectangular crenels merlons are considered. Within the widely used proximity force approximation, both top bottom contribute to force. However, for such systems full, numerically determined deviate significantly fromthe pairwise addition formalismunderlying approximation. A first-order correction approximation is presented in terms a step contribution arising from interaction right-angled steps their upper lower edges as well sidewalls.