Slow dynamics of nonequilibrium density fluctuations in hard-sphere suspensions

Michio Tokuyama, Yoshihisa Enomoto, Irwin Oppenheim
1997 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
The coupled diffusion equations recently proposed for concentrated hard-sphere suspensions are numerically solved to investigate the dynamics of density fluctuations around time-dependent nonequilibrium ͑spatially inhomogeneous͒ states. As the volume fraction of spheres approaches the critical value g from below, the self-intermediate scattering function F S (k,t) is shown to obey two different slow relaxations whose time scales t ␤ and t ␣ diverge as the separation parameter ϭ(Ϫ g )/ g
more » ... ϭ(Ϫ g )/ g approaches zero: t ␤ ϳ͉͉ Ϫ␤ and t ␣ ϳ͉͉ Ϫ␣ , where g ϭ(4/3) 3 /(7 ln3Ϫ8 ln2ϩ2). Thus, the importance of nonequilibrium effects on slow dynamics is stressed from a unifying viewpoint. ͓S1063-651X͑97͒50601-5͔
doi:10.1103/physreve.55.r29 fatcat:twoiaktwzzhcrbpus6c2mv2nvi