Counterintuitive ground states in soft-core models

Details Counterintuitive ground states in soft-core models Counterintuitive ground states in soft-core models

2008-11-07

arxiv.org/abs/0811.1236v2

Physical Review E 78, 061113 (2008)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 4 figures, appeared in Physical Review E (http://pre.aps.org/)

Scientific paper

10.1103/PhysRevE.78.061113

It is well known that statistical mechanics systems exhibit subtle behavior in high dimensions. In this paper, we show that certain natural soft-core models, such as the Gaussian core model, have unexpectedly complex ground states even in relatively low dimensions. Specifically, we disprove a conjecture of Torquato and Stillinger, who predicted that dilute ground states of the Gaussian core model in dimensions 2 through 8 would be Bravais lattices. We show that in dimensions 5 and 7, there are in fact lower-energy non-Bravais lattices. (The nearest three-dimensional analog is the hexagonal close-packing, but it has higher energy than the face-centered cubic lattice.) We believe these phenomena are in fact quite widespread, and we relate them to decorrelation in high dimensions.

Affiliated with

Also associated with

No associations

Rating

Counterintuitive ground states in soft-core models 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 Counterintuitive ground states in soft-core models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Counterintuitive ground states in soft-core models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-245465