Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom.
Phys Rev Lett. 2013 Sep 13;111(11):117801. doi: 10.1103/PhysRevLett.111.117801. Epub 2013 Sep 10.
A thermodynamically consistent gradient dynamics model for the evolution of thin layers of liquid mixtures, solutions, and suspensions on solid substrates is presented which is based on a film-height- and mean-concentration-dependent free energy functional. It is able to describe a large variety of structuring processes, including coupled dewetting and decomposition processes. As an example, the model is employed to investigate the dewetting of thin films of liquid mixtures and suspensions under the influence of effective long-range van der Waals forces that depend on solute concentration. The occurring fluxes are discussed, and it is shown that spinodal dewetting may be triggered through the coupling of film height and concentration fluctuations. Fully nonlinear calculations provide the time evolution and resulting steady film height and concentration profiles.
提出了一种热力学一致的梯度动力学模型,用于研究固体基底上的液体混合物、溶液和悬浮液的薄层的演变,该模型基于膜高和平均浓度相关的自由能泛函。它能够描述各种各样的结构化过程,包括耦合的去湿和分解过程。作为一个例子,该模型被用于研究在有效长程范德华力(取决于溶质浓度)的影响下液体混合物和悬浮液的薄膜的去湿。讨论了发生的通量,并表明通过膜高和浓度波动的耦合可以触发旋节线去湿。完全非线性计算提供了时间演化和最终的稳定膜高和浓度分布。