Dynamics of heterogeneous hard spheres in a file

Details Dynamics of heterogeneous hard spheres in a file Dynamics of heterogeneous hard spheres in a file

2010-02-07

arxiv.org/abs/1002.1450v2

Phys. Rev. E 82, 031126 (2010)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.82.031126

Normal dynamics in a quasi-one-dimensional channel of length L (\to\infty) of N hard spheres are analyzed. The spheres are heterogeneous: each has a diffusion coefficient D that is drawn from a probability density function (PDF), W D^(-{\gamma}), for small D, where 0\leq{\gamma}<1. The initial spheres' density {\rho} is non-uniform and scales with the distance (from the origin) l as, {\rho} l^(-a), 0\leqa\leq1. An approximation for the N-particle PDF for this problem is derived. From this solution, scaling law analysis and numerical simulations, we show here that the mean square displacement for a particle in such a system obeys, ~t^(1-{\gamma})/(2c-{\gamma}), where c=1/(1+a). The PDF of the tagged particle is Gaussian in position. Generalizations of these results are considered.

Affiliated with

Also associated with

No associations

Rating

Dynamics of heterogeneous hard spheres in a file 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 Dynamics of heterogeneous hard spheres in a file, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of heterogeneous hard spheres in a file will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582745