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Correlated motion of two particles in a dense fluid of hard rods

Author

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  • Gaveau, B.
  • Moreau, M.
  • Piasecki, J.

Abstract

An exact equation describing the stochastic motion of a droplet of neighbouring equal mass hard points with velocities ±c, immerzed in a hard point fluid, is derived. The derivation generalizes Resibois' idea originally applied to the study of self-diffusion. The explicit solution for a two-particle droplet is obtained, showing a rapid relaxation of the interparticle distance to the Poisson distribution, superposed on a slow diffusive motion of the centre of mass of the two particles. An approximate description of the dynamics of N-particle droplets (N > 2) is proposed.

Suggested Citation

  • Gaveau, B. & Moreau, M. & Piasecki, J., 1997. "Correlated motion of two particles in a dense fluid of hard rods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 189-204.
    • Handle: RePEc:eee:phsmap:v:237:y:1997:i:1:p:189-204
    DOI: 10.1016/S0378-4371(96)00416-5
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    References listed on IDEAS

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    1. Biel, Jesús & Marro, Joaquín, 1978. "Statistical approach to the kinetics of nonuniform fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 94(2), pages 297-320.
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