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

Michio Tokuyama, Hiroyuki Yamazaki and Yayoi Terada

Physica A: Statistical Mechanics and its Applications, 2003, vol. 328, issue 3, 367-379

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.

Keywords: Collective interactions; Hard-sphere systems; Long-time self-diffusion coefficient; Singular behavior (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:328:y:2003:i:3:p:367-379

DOI: 10.1016/S0378-4371(03)00587-9

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