Density functional for hard hyperspheres from a tensorial-diagrammatic series

Details Density functional for hard hyperspheres from a tensorial-diagrammatic series Density functional for hard hyperspheres from a tensorial-diagrammatic series

2011-01-20

arxiv.org/abs/1101.3868v1

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 4 figures

Scientific paper

We represent the free energy functional by a diagrammatic series with tensorial coefficients indexed by powers of length scale. For hard cores, we obtain Percus' exact functional in one dimension and the Kierlik-Rosinberg form of fundamental measures theory in three dimensions. In five dimensions, the functional describes bulk fluids better than Percus-Yevick theory does. At planar walls density profiles oscillate with smaller periods than in lower dimensions. Our findings open up avenues for treating both more general high-dimensional systems, as well as three-dimensional mixtures via dimensional reduction.

Affiliated with

Also associated with

No associations

Rating

Density functional for hard hyperspheres from a tensorial-diagrammatic series 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 Density functional for hard hyperspheres from a tensorial-diagrammatic series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Density functional for hard hyperspheres from a tensorial-diagrammatic series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333403