How to impose stick boundary conditions in coarse-grained hydrodynamics of Brownian colloids and semi-flexible fiber rheology

The Journal of Chemical Physics
Robert D Groot

Abstract

Long-range hydrodynamics between colloidal particles or fibers is modelled by the fluid particle model. Two methods are considered to impose the fluid boundary conditions at colloidal surfaces. In the first method radial and transverse friction forces between particle and solvent are applied such that the correct friction and torque follows for moving or rotating particles. The force coefficients are calculated analytically and checked by numerical simulation. In the second method a collision rule is used between colloidal particle and solvent particle that imposes the stick boundary conditions exactly. The collision rule comprises a generalisation of the Lowe-Anderson thermostat to radial and transverse velocity differences.

References

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Mar 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G G BatrouniB Larson
Apr 20, 2005·The Journal of Chemical Physics·Simeon D Stoyanov, Robert D Groot
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Dec 31, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Robert D Groot, Simeon D Stoyanov
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Dec 30, 2009·Langmuir : the ACS Journal of Surfaces and Colloids·Wenxiao PanGeorge Em Karniadakis
Jan 12, 2010·The Journal of Chemical Physics·Robert S Farr, Robert D Groot

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Citations

Apr 16, 2013·Langmuir : the ACS Journal of Surfaces and Colloids·Lijuan LiuBaolian Zhang
Jun 21, 2013·The Journal of Chemical Physics·Robert D Groot
Mar 5, 2016·The Journal of Chemical Physics·Nikolai D PetsevM Scott Shell
Apr 24, 2017·The Journal of Chemical Physics·Pep Español, Patrick B Warren
Apr 30, 2016·Soft Matter·Pep EspañolIgnacio Zúñiga

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