Multi-particle collision dynamics simulations of sedimenting colloidal dispersions in confinement.

The sedimentation of an initially inhomogeneous distribution of hard-sphere colloids confined in a slit is simulated using the multi-particle collision dynamics scheme which takes into account hydrodynamic interactions mediated by the solvent. This system is an example for soft matter driven out of equilibrium where various length and time scales are involved. The initial laterally homogeneous density profiles exhibit a hydrodynamic Rayleigh-Taylor-like instability. Solvent backflow effects lead to an intricate non-linear behaviour which is analyzed via the solvent flow field and the colloidal velocity correlation function. Our simulation data are in good agreement with real-space microscopy experiments.

[1]  Renaud Toussaint,et al.  Granular Rayleigh-Taylor instability: experiments and simulations. , 2007, Physical review letters.

[2]  J. Padding,et al.  Hydrodynamic interactions and Brownian forces in colloidal suspensions: coarse-graining over time and length scales. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  J. Dzubiella,et al.  Nonequilibrium sedimentation of colloids on the particle scale. , 2007, Physical review letters.

[4]  Hartmut Löwen,et al.  Crystallization in Sedimentation Profiles of Hard Spheres , 1994 .

[5]  Instability of a fluid–fluid interface in driven colloidal mixtures , 2004 .

[6]  R. Kapral Multiparticle Collision Dynamics: Simulation of Complex Systems on Mesoscales , 2008 .

[7]  Gerhard Gompper,et al.  Direct observation of hydrodynamic instabilities in a driven non-uniform colloidal dispersion , 2008, 0810.1258.

[8]  S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability , 1961 .

[9]  Sedimentation dynamics of spherical particles in confined geometries. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  J. Hansen,et al.  Effective interactions between electric double layers. , 2000, Annual review of physical chemistry.

[11]  Timothy C Germann,et al.  The importance of fluctuations in fluid mixing , 2007, Proceedings of the National Academy of Sciences.

[12]  Evans,et al.  Shear thickening and turbulence in simple fluids. , 1986, Physical review letters.

[13]  W. Pesch,et al.  Rayleigh-Taylor instability in a sedimenting suspension. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  H. Löwen,et al.  Oscillatory driven colloidal binary mixtures: axial segregation versus laning. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Tanaka,et al.  Simulation method of colloidal suspensions with hydrodynamic interactions: fluid particle dynamics , 2000, Physical review letters.

[16]  J. T. Padding,et al.  Stick boundary conditions and rotational velocity auto-correlation functions for colloidal particles in a coarse-grained representation of the solvent , 2005 .

[17]  Dirk G. A. L. Aarts,et al.  Direct Visual Observation of Thermal Capillary Waves , 2004, Science.

[18]  T. Ihle,et al.  Erratum: Multi-particle collision dynamics: Flow around a circular and a square cylinder , 2001, cond-mat/0110148.

[19]  Jan K. G. Dhont,et al.  An introduction to dynamics of colloids , 1996 .

[20]  T. Ihle,et al.  Stochastic rotation dynamics: a Galilean-invariant mesoscopic model for fluid flow. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Lipowsky,et al.  Surface melting away from equilibrium. , 1991, Physical review. B, Condensed matter.

[22]  J. Padding,et al.  Interplay between hydrodynamic and Brownian fluctuations in sedimenting colloidal suspensions. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  H. Lekkerkerker,et al.  Interfacial dynamics in demixing systems with ultralow interfacial tension , 2005 .

[24]  J. F. Ryder,et al.  Transport coefficients of a mesoscopic fluid dynamics model , 2003, cond-mat/0302451.

[25]  Hirotada Ohashi,et al.  Development of a Simulation Model for Solid Objects Suspended in a Fluctuating Fluid , 2002 .

[26]  A. Malevanets,et al.  Mesoscopic model for solvent dynamics , 1999 .

[27]  H. Butt,et al.  Localized instabilities of colloidal motion in ac electric field gradients , 2008 .

[28]  Brad Lee Holian,et al.  Nanohydrodynamics simulations: an atomistic view of the Rayleigh-Taylor instability. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[29]  I. Pagonabarraga,et al.  Simulating colloid hydrodynamics with lattice Boltzmann methods , 2004 .

[30]  R. Winkler,et al.  Multi-Particle Collision Dynamics -- a Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids , 2008, 0808.2157.