Amorphous packings of hard spheres in large space dimension

Details Amorphous packings of hard spheres in large space dimension Amorphous packings of hard spheres in large space dimension

2006-01-25

arxiv.org/abs/cond-mat/0601573v1

J.Stat.Mech. (2006) P03017

Physics

Condensed Matter

Statistical Mechanics

11 pages, 1 figure, includes feynmf diagrams

Scientific paper

10.1088/1742-5468/2006/03/P03017

In a recent paper (cond-mat/0506445) we derived an expression for the replicated free energy of a liquid of hard spheres based on the HNC free energy functional. An approximate equation of state for the glass and an estimate of the random close packing density were obtained in d=3. Here we show that the HNC approximation is not needed: the same expression can be obtained from the full diagrammatic expansion of the replicated free energy. Then, we consider the asymptotics of this expression when the space dimension d is very large. In this limit, the entropy of the hard sphere liquid has been computed exactly. Using this solution, we derive asymptotic expressions for the glass transition density and for the random close packing density for hard spheres in large space dimension.

Affiliated with

Also associated with

No associations

Rating

Amorphous packings of hard spheres in large space dimension 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 Amorphous packings of hard spheres in large space dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Amorphous packings of hard spheres in large space dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-405561