From local to hydrodynamic friction in Brownian motion: A multiparticle collision dynamics simulation study

Abstract

The friction and diffusion coefficients of rigid spherical colloidal particles dissolved in a fluid are determined from velocity and force autocorrelation functions by mesoscale hydrodynamic simulations. Colloids with both slip and no-slip boundary conditions are considered, which are embedded in fluids modelled by multiparticle collision dynamics (MPC) with and without angular momentum conservation. For no-slip boundary conditions, hydrodynamics yields the well-known Stokes law, while for slip boundary conditions the lack of angular momentum conservation leads to a reduction of the hydrodynamic friction coefficient compared to the classical result. The colloid diffusion coefficient is determined by integration of the velocity autocorrelation function, where the numerical result at shorter times is combined with the theoretical hydrodynamic expression for longer times. The suitability of this approach is confirmed by simulations of sedimenting colloids. In general, we find only minor deviations from the Stokes-Einstein relation, which even disappear for larger colloids. Importantly, for colloids with slip boundary conditions, our simulation results contradict the frequently assumed additivity of local and hydrodynamic diffusion coefficients.

References in corpus (15)

• Hydrodynamic interactions and Brownian forces in colloidal suspensions: Coarse-graining over time and length-scales
• Multi-particle-collision dynamics: Flow around a circular and a square cylinder
• Multi-Particle Collision Dynamics -- a Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids
• Dynamic regimes of fluids simulated by multiparticle-collision dynamics
• Simulation of Claylike Colloids
• Particle-Based Mesoscale Hydrodynamic Techniques
• Transport coefficients of off-lattice mesoscale-hydrodynamics simulation techniques
• Relevance of angular momentum conservation in mesoscale hydrodynamics simulations
• Equilibrium calculation of transport coefficients for a fluid-particle model
• Stick boundary conditions and rotational velocity auto-correlation functions for colloidal particles in a coarse-grained representation of the solvent
• Thermostat for non-equilibrium multiparticle collision dynamics simulations
• Stress Tensors of Multiparticle Collision Dynamics Fluids
• A comparison of the static and dynamic properties of a semi-flexible polymer using lattice-Boltzmann and Brownian dynamics simulations
• Backtracking of colloids: a multiparticle collision dynamics simulation study
• Force calculation on walls and embedded particles in multiparticle collision dynamics simulations

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