We present a general approach based on nonequilibrium thermodynamics for bridging the gap between a well-defined microscopic model and the macroscopic rheology of particle-stabilised interfaces. Our approach is illustrated by starting with a microscopic model of hard ellipsoids confined to a planar surface, which is intended to simply represent a particle-stabilised fluid-fluid interface. More complex microscopic models can be readily handled using the methods outlined in this paper. From the aforementioned microscopic starting point, we obtain the macroscopic, constitutive equations using a combination of systematic coarse-graining, computer experiments and Hamiltonian dynamics. Exemplary numerical solutions of the constitutive equations are given for a variety of experimentally relevant flow situations to explore the rheological behaviour of our model. In particular, we calculate the shear and dilatational moduli of the interface over a wide range of surface coverages, ranging from the dilute isotropic regime, to the concentrated nematic regime. for LaTeX users @article{AMLuo2015-11, author = {A. M. Luo and L. M. C. Sagis and H. C. \"Ottinger and C. De Michele and P. Ilg}, title = {Modelling the rheology of anisotropic particles adsorbed on a two-dimensional fluid interface}, journal = {Soft Matter}, volume = {11}, pages = {4383-4395}, year = {2015} }
\bibitem{AMLuo2015-11} A.M. Luo, L.M.C. Sagis, H.C. \"Ottinger, C. De Michele, P. Ilg, Modelling the rheology of anisotropic particles adsorbed on a two-dimensional fluid interface, Soft Matter {\bf 11} (2015) 4383-4395.AMLuo2015-11 A.M. Luo, L.M.C. Sagis, H.C. \"Ottinger, C. De Michele, P. Ilg Modelling the rheology of anisotropic particles adsorbed on a two-dimensional fluid interface Soft Matter,11,2015,4383-4395 |