Recent progresses of computer simulations for interfacial phenomena of soft materials are reviewed. First, we give an introduction in order to motivate a simulation method peculiar to model an interfacial structure of the soft materials with a mesoscopic length scale. Next, we describe representative simulation methods which can be widely applied to various soft materials. We then review the simulations applied to the two interfacial phenomena, one is the micelle formation of amphiphilic molecules, and the other is the kinetics of colloidal suspensions. For the micelles, we compare the different simulation methods to give the properties of the micellar solutions, and discuss the advantages and the disadvantages of them. For the colloidal suspensions, we present some new simulation techniques which enables to model the hydrodynamic interactions and/or further complex interactions through the ions or the liquid crystals surrounding the colloidal particles. Finally, we note the importance of establishing the multi-scale or the hierarchical modeling as a future simulation strategy for the soft materials to achieve a high efficiency.

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Modeling mesoscopic structures, such as domains and interfaces, is an essential issue in understanding static and dynamical properties of soft materials. To construct such a model, the coarse-grained field theory combined with the self-consistent field theory is a useful tool in incorporating microscopic molecular structures into the mesoscopic models. We show how such modeling is used to bridge the gap between the microscopic molecular details and the macroscopic physical properties.

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