Brownian dynamics of effective diffusion model on hard-disk colloidal suspensions with hydrodynamic interactions

1999 ◽  
Author(s):  
Yayoi Terada ◽  
Michio Tokuyama
Keyword(s):  
Diffusion Model ◽  
Brownian Dynamics ◽  
Effective Diffusion ◽  
Colloidal Suspensions ◽  
Hard Disk ◽  
Hydrodynamic Interactions

scholarly journals Generalization of the Rotne–Prager–Yamakawa mobility and shear disturbance tensors

2013 ◽  
Vol 731 ◽  
Author(s):  
Eligiusz Wajnryb ◽  
Krzysztof A. Mizerski ◽  
Pawel J. Zuk ◽  
Piotr Szymczak
Keyword(s):  
Boundary Conditions ◽  
Long Range ◽  
Brownian Dynamics ◽  
Degrees Of Freedom ◽  
Colloidal Suspensions ◽  
Positive Definite ◽  
Hydrodynamic Interactions ◽  
Diffusion Matrix ◽  
Rotational Degrees Of Freedom ◽  
Dynamics Modelling

AbstractThe Rotne–Prager–Yamakawa approximation is one of the most commonly used methods of including hydrodynamic interactions in modelling of colloidal suspensions and polymer solutions. The two main merits of this approximation are that it includes all long-range terms (i.e. decaying as ${R}^{- 3} $ or slower in interparticle distances) and that the diffusion matrix is positive definite, which is essential for Brownian dynamics modelling. Here, we extend the Rotne–Prager–Yamakawa approach to include both translational and rotational degrees of freedom, and derive the regularizing corrections to account for overlapping particles. Additionally, we show how the Rotne–Prager–Yamakawa approximation can be generalized for other geometries and boundary conditions.

Machine learning of lubrication correction based on GPR for the coupled DPD-DEM simulation of colloidal suspensions

Soft Matter ◽  
2021 ◽  
Author(s):  
Yi Wang ◽  
Jie Ouyang ◽  
Xiaodong Wang
Keyword(s):  
Machine Learning ◽  
Colloidal Suspensions ◽  
Hydrodynamic Interactions ◽  
Dem Simulation ◽  
Molecular Fluids ◽  
Close Range

Hydrodynamic interactions have a major impact on the suspension properties, but they are absent in atomic and molecular fluids due to a lack of intervening medium at close range. To...

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