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Brownian dynamics: divergence of mobility tensor

Author

Listed:
  • Wajnryb, E.
  • Szymczak, P.
  • Cichocki, B.

Abstract

The mobility tensor for many spheres suspended in a viscous fluid is considered. An analytical formula for the divergence of this tensor is derived. It is then applied in calculations of long-time collective diffusion coefficient of hard-sphere suspension by means of Brownian dynamics method.

Suggested Citation

  • Wajnryb, E. & Szymczak, P. & Cichocki, B., 2004. "Brownian dynamics: divergence of mobility tensor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 339-358.
    • Handle: RePEc:eee:phsmap:v:335:y:2004:i:3:p:339-358
    DOI: 10.1016/j.physa.2003.12.012
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    References listed on IDEAS

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    1. Felderhof, B.U., 1989. "Hydrodynamic interactions in suspensions with periodic boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(1), pages 1-18.
    2. Smith, E.R. & Snook, I.K. & Van Megen, W., 1987. "Hydrodynamic interactions in Brownian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 143(3), pages 441-467.
    3. Schmitz, R. & Felderhof, B.U., 1982. "Friction matrix for two spherical particles with hydrodynamic interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(1), pages 103-116.
    4. Schmitz, R. & Felderhof, B.U., 1982. "Mobility matrix for two spherical particles with hydrodynamic interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 163-177.
    5. Mazur, P. & van Saarloos, W., 1982. "Many-sphere hydrodynamic interactions and mobilities in a suspension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(1), pages 21-57.
    6. Felderhof, B.U., 1976. "Force density induced on a sphere in linear hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 569-576.
    7. Cichocki, B. & Felderhof, B.U., 1994. "Slow dynamics of linear relaxation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 211(2), pages 165-192.
    8. Felderhof, B.U., 1976. "Force density induced on a sphere in linear hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 557-568.
    9. Cichocki, B. & Felderhof, B.U., 1989. "Periodic fundamental solution of the linear Navier-Stokes equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(1), pages 19-27.
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