Abstract
Surfaces and interfaces exhibit a rich variety of phase transitions. While some of these phase transitions also occur in the bulk, others involve coupling between surface and bulk degrees of freedom; consequently the surface phase diagram may be rather complex even for simple Ising like systems. In these lectures I will introduce the generic 4-dimensional surface phase diagram (bulk and surface couplings, bulk and surface fields) of Ising like systems and discuss bulk vs. surface criticality. I will start with a review of surface thermodynamics and scaling of interfaces with emphasis on wetting phenomena. Then Landau mean-field theory is used to calculate the global surface phase diagram. The effects of thermal fluctuations are discussed using the capillary wave Hamiltonian: The correlation functions are calculated using Ornstein-Zernike theory for systems with short and long-range forces. Finally, I will comment on the status of the renormalization group results for 3-dimensional short-range critical wetting that are at odds with the results of simulations of the Ising model and of a recent experiment.
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da gama Telo, M.M. (2003). Theory of Wetting and Surface Critical Phenomena. In: Dünweg, B., Landau, D.P., Milchev, A.I. (eds) Computer Simulations of Surfaces and Interfaces. NATO Science Series, vol 114. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0173-1_13
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DOI: https://doi.org/10.1007/978-94-010-0173-1_13
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