The mean-squared displacement of a molecule moving in a glassy system

Details The mean-squared displacement of a molecule moving in a glassy system The mean-squared displacement of a molecule moving in a glassy system

2001-04-10

arxiv.org/abs/cond-mat/0104159v1

Physics

Condensed Matter

Soft Condensed Matter

18 pages, 12 figures, Phys. Rev. E, in print

Scientific paper

10.1103/PhysRevE.64.011503

The mean-squared displacement (MSD) of a hard sphere and of a dumbbell molecule consisting of two fused hard spheres immersed in a dense hard-sphere system is calculated within the mode-coupling theory for ideal liquid-glass transitions. It is proven that the velocity correlator, which is the second time derivative of the MSD, is the negative of a completely monotone function for times within the structural-relaxation regime. The MSD is found to exhibit a large time interval for structural relaxation prior to the onset of the $\alpha$-process which cannot be described by the asymptotic formulas for the mode-coupling-theory-bifurcation dynamics. The $\alpha$-process for molecules with a large elongation is shown to exhibit an anomalously wide cross-over interval between the end of the von-Schweidler decay and the beginning of normal diffusion. The diffusivity of the molecule is predicted to vary non-monotonically as function of its elongation.

Affiliated with

Also associated with

No associations

Rating

The mean-squared displacement of a molecule moving in a glassy system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The mean-squared displacement of a molecule moving in a glassy system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The mean-squared displacement of a molecule moving in a glassy system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-534197