Thin Liquid Films

Here is a treatise on the thermodynamic and dynamic properties of thin liquid films at solid surfaces, particularly their rupture instabilities. The authors balance 'light' and 'rigorous' mathematical approaches, always conveying the elegance of the theory.

This book is a treatise on the thermodynamic and dynamic properties of thin liquid films at solid surfaces and, in particular, their rupture instabilities. For the quantitative study of these phenomena, polymer thin films (sometimes referred to as "ultrathin") have proven to be an invaluable experimental model system.
What is it that makes thin film instabilities special and interesting? First, thin polymeric films have an important range of applications. An understanding of their instabilities is therefore of practical relevance for the design of such films. The first chapter of the book intends to give a snapshot of current applications, and an outlook on promising future ones. Second, thin liquid films are an interdisciplinary research topic, which leads to a fairly heterogeneous community working on the topic. It justifies attempting to write a text which gives a coherent presentation of the field which researchers across their specialized communities might be interested in. Finally, thin liquid films are an interesting laboratory for a theorist to confront a well-established theory, hydrodynamics, with its limits. Thin films are therefore a field in which a highly fruitful exchange and collaboration exists between experimentalists and theorists.
The book stretches from the more concrete to more abstract levels of study: we roughly progress from applications via theory and experiment to rigorous mathematical theory. For an experimental scientist, the book should serve as a reference and guide to what is the current consensus of the theoretical underpinnings of the field of thin film dynamics. Controversial problems on which such a consensus has not yet been reached are clearly indicated in the text, as well as discussed in a final chapter. From a theoretical point of view, the field of dewetting has mainly been treated in a mathematically 'light' yet elegant fashion, often making use of scaling arguments. For the untrained researcher, this approach is not always easy to follow. The present book attempts to bridge between the 'light' and the 'rigorous', always with the ambition to enhance insight and understanding - and to not let go the elegance of the theory.

Applications of Thin Films. - Statistical Mechanics of Thin Films. - Capillarity and Surface Tension. - Forces acting on Interfaces. - Wetting and Dewetting. - The Solid-Liquid Boundary. - Polymers as Thin Films: Glass Transition. - Hydrodynamics of Thin Films. - Lubrication Approximation for Viscous Thin Films. - Film Rupture. - Rims. - Fluctuations in Thin Films. - Visco-elastic Thin Films. - Mathematics of Thin-Film Equations. - Existence and Regularity of Solutions to Thin Film Equations. - Numerics for Thin-Film Equations.