Dynamics of Colloidal Dispersions via Lattice-Gas Models of an Incompressible Fluid

  • A. J. C. Ladd
  • D. Frenkel
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 46)


Progress in applying lattice-gas models to the simulation of colloidal dispersions is described. A new set of collision rules for the four-dimensional face-centered-hypercubic lattice, which lead to an exactly isotropic viscosity and which can be implemented with a small table lookup, have been developed. However, they are only suitable for low Reynolds number flows. A new implementation of a constant-velocity boundary condition for lattice-gas models is described.


Local Velocity Colloidal Dispersion Viscosity Tensor Collision Rule Local Equilibrium Distribution 
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  1. [1]
    F. Gadala-Maria and A. Acrivos, J. Rheo L, 24, 799 (1980).ADSCrossRefGoogle Scholar
  2. [2]
    G.L. Paul and P.N. Pusey, J. Phys. A, 14, 3301 (1981).ADSCrossRefGoogle Scholar
  3. [31.
    A.J.C. Ladd, M.E. Colvin and D. Frenkel,Phys. Rev. Lett. 60, 975 (1988).ADSCrossRefGoogle Scholar
  4. [4]
    P. Mazur and W. Van Saarloos, Physica 115A, 21 (1982).ADSGoogle Scholar
  5. [5]
    J.A. Somers and P.C. Rem, Shell Conference on Parallel Computing, G.A. van Zee, editor (Lecture Notes on Computer Science 1988).Google Scholar
  6. [6]
    U. Frisch, D. d’Humières, B. Hasslacher, P. Lallemand, Y. Pomeau and J-P. Rivet, Complex Systems 1, 649 (1987).MathSciNetMATHGoogle Scholar
  7. [7]
    M. Henon, Complex Systems 1, 475 (1987).MathSciNetMATHGoogle Scholar
  8. [8]
    J-P. Rivet, M. Henon, U. Frisch and D. d’Humières, Europhys. Lett. 7, 231 (1989).ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • A. J. C. Ladd
    • 1
  • D. Frenkel
    • 2
  1. 1.Lawrence Livermore National LaboratoryLivermoreUSA
  2. 2.F.O.M. Institute for Atomic and Molecular PhysicsDB AmsterdamThe Netherlands

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