The raspberry model for hydrodynamic interactions revisited. I. Periodic arrays of spheres and dumbbells

The Journal of Chemical Physics
Lukas P FischerJoost de Graaf

Abstract

The so-called "raspberry" model refers to the hybrid lattice-Boltzmann and Langevin molecular dynamics scheme for simulating the dynamics of suspensions of colloidal particles, originally developed by Lobaskin and Dünweg [New J. Phys. 6, 54 (2004)], wherein discrete surface points are used to achieve fluid-particle coupling. This technique has been used in many simulation studies on the behavior of colloids. However, there are fundamental questions with regards to the use of this model. In this paper, we examine the accuracy with which the raspberry method is able to reproduce Stokes-level hydrodynamic interactions when compared to analytic expressions for solid spheres in simple-cubic crystals. To this end, we consider the quality of numerical experiments that are traditionally used to establish these properties and we discuss their shortcomings. We show that there is a discrepancy between the translational and rotational mobility reproduced by the simple raspberry model and present a way to numerically remedy this problem by adding internal coupling points. Finally, we examine a non-convex shape, namely, a colloidal dumbbell, and show that the filled raspberry model replicates the desired hydrodynamic behavior in bulk for thi...Continue Reading

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Citations

Apr 10, 2016·The Journal of Chemical Physics·Joost de GraafTyler N Shendruk
Sep 4, 2015·The Journal of Chemical Physics·Joost de GraafChristian Holm
May 10, 2016·The Journal of Chemical Physics·Christian Hoell, Hartmut Löwen
Aug 1, 2016·The Journal of Chemical Physics·Georg RempferJoost de Graaf
Oct 27, 2016·The Journal of Chemical Physics·Sven Erik IlseJoost de Graaf
May 13, 2017·Soft Matter·Tobias RauChristian Holm
May 18, 2016·Soft Matter·Joost de GraafTyler N Shendruk
Jul 30, 2017·Electrophoresis·Aleksei KabedevVladimir Lobaskin
Oct 27, 2018·Computational and Mathematical Methods in Medicine·Martin BušíkIvan Cimrák
Jun 30, 2019·The European Physical Journal. E, Soft Matter·Livio Nicola CarenzaAdriano Tiribocchi
Jan 5, 2017·The Journal of Chemical Physics·Taras Y MolotilinOlga I Vinogradova
Aug 12, 2017·The Journal of Chemical Physics·Michael KuronJoost de Graaf
May 3, 2018·Soft Matter·Fabian Jan Schwarzendahl, Marco G Mazza
May 10, 2019·The Journal of Chemical Physics·Miru LeeChristian Holm
Mar 17, 2017·Physical Review. E·Joost de Graaf, Joakim Stenhammar
Sep 25, 2017·Soft Matter·Alexander L DubovOlga I Vinogradova
Feb 9, 2021·The European Physical Journal. E, Soft Matter·Michael KuronChristian Holm
Oct 15, 2021·Physical Chemistry Chemical Physics : PCCP·Martin Kaiser, Sofia S Kantorovich

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