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Physical foundation of the fluid particle dynamics method for colloid dynamics simulation


Colloid dynamics is significantly influenced by many-body hydrodynamic interactions mediated by a suspending fluid. However, theoretical and numerical treatments of such interactions are extremely difficult. To overcome this situation, we developed fluid particle dynamics (FPD) method [H. Tanaka and T. Araki, Phys. Rev. Lett., 2000, 35, 3523], which is based on two key approximations: (i) a colloidal particle is treated as a highly viscous particle and (ii) the viscosity profile is described by a smooth interfacial profile function. Approximation (i) makes our method free from the solid-fluid boundary condition, significantly simplifying the treatment of many-body hydrodynamic interactions while satisfying the incompressible condition without the Stokes approximation. Approximation (ii) allows us to incorporate an extra degree of freedom in a fluid, e.g., orientational order and concentration, as an additional field variable. Here we consider two fundamental problems associated with these approximations. One is the introduction of thermal noise and the other is to incorporate the coupling of the colloid surface with an order parameter introduced to a fluid component, which is crucial when considering colloidal particles suspended in a complex fluid. Here we show that our FPD method makes it possible to simulate colloid dynamics properly while including full hydrodynamic interactions, inertia effects, incompressibility, thermal noise, and additional degrees of freedom of a fluid, which may be relevant for wide applications in colloidal and soft matter science.

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Publication details

The article was received on 26 Jan 2018, accepted on 10 Apr 2018 and first published on 11 Apr 2018

Article type: Paper
DOI: 10.1039/C8SM00189H
Citation: Soft Matter, 2018, Accepted Manuscript
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    Physical foundation of the fluid particle dynamics method for colloid dynamics simulation

    A. Furukawa, M. Tateno and H. Tanaka, Soft Matter, 2018, Accepted Manuscript , DOI: 10.1039/C8SM00189H

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