TY - GEN
T1 - Universal features of collective interactions in hard-sphere systems at higher volume fractions
AU - Tokuyama, M.
AU - Terada, Y.
AU - Yamazaki, H.
AU - Oppenheim, I.
N1 - Publisher Copyright:
© 2004 American Institute of Physics.
PY - 2004/4/30
Y1 - 2004/4/30
N2 - In order to investigate the universal features of collective behavior due to the many-body interactions, we perform two types of computer simulations on hard-sphere systems, a Brownian-dynamics simulation on polydisperse suspensions of hard spheres, where the hydrodymamic interactions between particles are neglected, and a molecular-dynamics simulation on atomic systems of hard spheres. Thus, we show that the long-time self-diffusion coefficient in atomic systems has the same form as that derived theoretically by Tokuyama and Oppenheim (TO) for the monodisperse suspension by taking into account the many-body hydrodynamic interactions, except that the singular point is now replaced by a new one. We also show that the difference between two coefficients in both systems can be well explained by the short-time self-diffusion coefficient derived theoretically for a wide range of volume fractions.
AB - In order to investigate the universal features of collective behavior due to the many-body interactions, we perform two types of computer simulations on hard-sphere systems, a Brownian-dynamics simulation on polydisperse suspensions of hard spheres, where the hydrodymamic interactions between particles are neglected, and a molecular-dynamics simulation on atomic systems of hard spheres. Thus, we show that the long-time self-diffusion coefficient in atomic systems has the same form as that derived theoretically by Tokuyama and Oppenheim (TO) for the monodisperse suspension by taking into account the many-body hydrodynamic interactions, except that the singular point is now replaced by a new one. We also show that the difference between two coefficients in both systems can be well explained by the short-time self-diffusion coefficient derived theoretically for a wide range of volume fractions.
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U2 - 10.1063/1.1764053
DO - 10.1063/1.1764053
M3 - Conference contribution
AN - SCOPUS:85048160250
T3 - AIP Conference Proceedings
SP - 8
EP - 15
BT - Slow Dynamics in Complex Systems
A2 - Tokuyama, Michio
A2 - Oppenheim, Irwin
PB - American Institute of Physics Inc.
T2 - 3rd International Symposium on Slow Dynamics in Complex Systems
Y2 - 3 November 2003 through 8 November 2003
ER -