Negative virial coefficients and the dominance of loose packed diagrams for D-dimensional hard spheres

Details Negative virial coefficients and the dominance of loose packed diagrams for D-dimensional hard spheres Negative virial coefficients and the dominance of loose packed diagrams for D-dimensional hard spheres

2003-03-06

arxiv.org/abs/cond-mat/0303100v2

Physics

Condensed Matter

Statistical Mechanics

26 pages, 69 figures. Some typos corrected. Final version, to appear in the Journal of Statistical Physics

Scientific paper

10.1023/B:JOSS.0000013960.83555.

We study the virial coefficients B_k of hard spheres in D dimensions by means of Monte-Carlo integration. We find that B_5 is positive in all dimensions but that B_6 is negative for all D >= 6. For 7<=k<=17 we compute sets of Ree-Hoover diagrams and find that either for large D or large k the dominant diagrams are "loose packed". We use these results to study the radius of convergence and the validity of the many approximations used for the equations of state for hard spheres.

Affiliated with

Also associated with

No associations

Rating

Negative virial coefficients and the dominance of loose packed diagrams for D-dimensional hard spheres 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 Negative virial coefficients and the dominance of loose packed diagrams for D-dimensional hard spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Negative virial coefficients and the dominance of loose packed diagrams for D-dimensional hard spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648551