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Universal effects of collective interactions on long-time self-diffusion coefficients in hard-sphere systems

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  • Tokuyama, Michio
  • Yamazaki, Hiroyuki
  • Terada, Yayoi

Abstract

We investigate how universal the collective behavior, due to the many-body interactions in polydisperse hard-sphere systems, is at higher volume fractions. We perform two types of computer simulations, a Brownian-dynamics simulation on colloidal suspensions of hard spheres, where the hydrodynamic interactions between particles are neglected, and a molecular-dynamic simulation on atomic systems of hard spheres. Thus, we show that the long-time self-diffusion coefficients DSL in both systems become singular as DSL(φ)∼(1−φ/φc)2 because of the collective interactions due to the many-body collision processes, where φ is a particle volume fraction and φc≃0.586 for 6% polydispersity. Although DSL exhibits the same singular behavior as that obtained theoretically for the monodisperse suspension with the hydrodynamic interactions, no liquid–glass transition is found because even the polydisperse hard-sphere systems crystallize without the hydrodynamic interactions for all φ above the melting volume fraction, which is lower than φc.

Suggested Citation

  • Tokuyama, Michio & Yamazaki, Hiroyuki & Terada, Yayoi, 2003. "Universal effects of collective interactions on long-time self-diffusion coefficients in hard-sphere systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(3), pages 367-379.
    • Handle: RePEc:eee:phsmap:v:328:y:2003:i:3:p:367-379
    DOI: 10.1016/S0378-4371(03)00587-9
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