标题： 二维二嵌段共聚物薄膜中的步骤演化 显示英文标题

标题： Step evolution in two-dimensional diblock copolymer films

摘要： 自由表面结构的形成和动力学，如台阶或台地及其与体相分离的相互作用，是二嵌段共聚物薄膜的关键特征。 我们提出了一种具有障碍势的相场模型，该模型自然地来源于通过自洽场理论对Ohta-Kawasaki能量泛函的推导。 通过引入第三相来表示空隙，将薄膜的自由表面纳入相场模型中。 结果表明，该模型及其尖界面极限能够捕捉二维台阶结构薄膜的能量特性。 对于该模型，我们随后开发了一种数值方法，能够解析二嵌段共聚物薄膜中长期出现的复杂自由表面结构。 显示英文摘要

摘要： The formation and dynamics of free-surface structures, such as steps or terraces and their interplay with the phase separation in the bulk are key features of diblock copolymer films. We present a phase-field model with an obstacle potential which follows naturally from derivations of the Ohta-Kawasaki energy functional via self-consistent field theory. The free surface of the film is incorporated into the phase-field model by including a third phase for the void. The resulting model and its sharp interface limit are shown to capture the energetics of films with steps in two dimensions. For this model, we then develop a numerical approach that is capable of resolving the long-time complex free-surface structures that arise in diblock copolymer films.