Physical foundation of the fluid particle dynamics method for colloid dynamics simulation
| Autor: | Akira Furukawa, Hajime Tanaka, Michio Tateno |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Degrees of freedom (statistics) 02 engineering and technology General Chemistry Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Physics::Fluid Dynamics Viscosity Colloid 0103 physical sciences Compressibility Particle Boundary value problem Soft matter 010306 general physics 0210 nano-technology Complex fluid |
| Zdroj: | Soft Matter. 14:3738-3747 |
| ISSN: | 1744-6848 1744-683X |
| Popis: | 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 a 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 the incorporation of coupling of the colloid surface with an order parameter introduced into 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. |
| Databáze: | OpenAIRE |
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